## Wave Motion

### An International Journal Reporting Research on Wave Phenomena

 Short Title: Wave Motion Publisher: Elsevier, Amsterdam ISSN: 0165-2125 Online: http://www.sciencedirect.com/science/journal/01652125
 Documents Indexed: 2,479 Publications (since 1979) References Indexed: 2,424 Publications with 62,166 References.
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### Authors

 25 Achenbach, Jan D. 23 Norris, Andrew N. 21 Engelbrecht, Jüri 20 Maugin, Gérard A. 19 Lothe, Jens 17 Jeffrey, Alan P. 15 Abrahams, I. David 15 Craster, Richard V. 15 Gautesen, Arthur K. 14 Alshits, Vladimir I. 14 Shuvalov, Alexander L. 13 Darinskii, A. N. 13 de Hoop, Adrianus T. 13 Ting, Thomas C. T. 12 Grimshaw, Roger Hamilton James 12 Martin, Paul Andrew 11 Boström, Anders 11 Burridge, Robert 11 Papanicolaou, George C. 11 Van Groesen, Embrecht W. C. 10 Felsen, Leopold B. 10 Garnier, Josselin 10 Hansen, Thorkild B. 10 Idemen, Mithat 10 Meylan, Michael H. 10 Vinh, Pham Chi 10 Willis, John Raymond 9 DeSanto, John A. 9 Lombard, Bruno 9 Lyalinov, Mikhail Anatolievich 9 Mitri, F. G. 9 Smyth, Noel Frederick 9 Wang, Litian 8 Angel, Yves Christian 8 Bennetts, Luke G. 8 Keller, Joseph Bishop 8 Kriegsmann, Gregory A. 8 Peake, Nigel 8 Saccomandi, Giuseppe 8 Sahoo, Trilochan 8 Salupere, Andrus 8 Shanin, Andrey V. 8 Tanner, Gregor K. 8 Wang, Yuesheng 8 Watanabe, Kazumi 8 Zhang, Chuanzeng 7 Barnett, David M. 7 Boyd, John Philip 7 Conoir, Jean-Marc 7 de Hoop, Maarten V. 7 Destrade, Michel 7 Dravinski, Marijan 7 Every, Arthur G. 7 Givoli, Dan 7 Jordan, Pedro M. 7 Kawahara, Takuji 7 Liu, Philip L.-F. 7 Malischewsky, Peter G. 7 Maznev, Alexei A. 7 Mei, Chiang C. 7 Minzoni, Antonmaria Alessio 7 Parnell, William J. 7 Treyssède, Fabien 7 White, Benjamin S. 6 Bal, Guillaume 6 Büyükaksoy, Alinur 6 Campos, L. M. B. C. 6 Collins, Michael D. 6 Deschamps, Marc 6 Evans, David V. 6 Haddow, J. B. 6 Hunter, John K. 6 Kaplunov, Julius D. 6 Lazar, Markus 6 Mayer, Andreas P. 6 McIver, Philip 6 Nazarov, Veniamin E. 6 Ockendon, John R. 6 Payton, Robert G. 6 Ruzzene, Massimo 6 Santosa, Fadil N. 6 Scott, Nigel H. 6 Vakakis, Alexander F. 5 Anile, Angelo Marcello 5 Babich, Vasiliĭ Mikhaĭlovich 5 Biwa, Shiro 5 Bleistein, Norman 5 Bogy, David B. 5 Brown, Michael G. 5 Budaev, Bair V. 5 Carcione, José M. 5 Christiansen, Peter Leth 5 Chung, Hyuck 5 Chwang, Allen Tseyung 5 Coulouvrat, François 5 Craik, Alex D. D. 5 Deng, Mingxi 5 Depollier, Claude 5 Fang, Kezhao 5 Félix, Simon ...and 3,243 more Authors
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### Fields

 1,341 Mechanics of deformable solids (74-XX) 1,151 Fluid mechanics (76-XX) 778 Partial differential equations (35-XX) 331 Optics, electromagnetic theory (78-XX) 185 Numerical analysis (65-XX) 136 Geophysics (86-XX) 65 Statistical mechanics, structure of matter (82-XX) 50 Dynamical systems and ergodic theory (37-XX) 39 Ordinary differential equations (34-XX) 33 Quantum theory (81-XX) 28 Biology and other natural sciences (92-XX) 23 Integral equations (45-XX) 23 Mechanics of particles and systems (70-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Information and communication theory, circuits (94-XX) 14 General and overarching topics; collections (00-XX) 13 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Relativity and gravitational theory (83-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 9 Special functions (33-XX) 9 Integral transforms, operational calculus (44-XX) 9 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 4 Astronomy and astrophysics (85-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Real functions (26-XX)

### Citations contained in zbMATH Open

1,714 Publications have been cited 9,284 times in 6,503 Documents Cited by Year
High-order local non-reflecting boundary conditions: a review. Zbl 1163.74356
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2004
Transport equations for elastic and other waves in random media. Zbl 0954.74533
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1996
Two-component integrable systems modelling shallow water waves: the constant vorticity case. Zbl 1231.76040
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2009
Non-reflecting boundary conditions for elastic waves. Zbl 0708.73012
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1990
Hamiltonian long-wave approximations to the water-wave problem. Zbl 0929.76015
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1994
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems. Zbl 1163.74364
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2004
Embedded trapped modes in water waves and acoustics. Zbl 1231.76046
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2007
Transient waves produced by flow past a bump. Zbl 0568.76028
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1985
A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water. Zbl 0929.76022
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1996
Implementation of transparent boundaries for numerical solution of the Schröder equation. Zbl 1159.78349
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1991
Riemann-Hilbert approach and $$N$$-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282
Geng, Xianguo; Wu, Jianping
2016
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
1997
Modeling the propagation of elastic waves using a modified finite difference grid. Zbl 1074.74648
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2000
Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation. Zbl 1074.76513
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1999
Dispersion analysis of spectral element methods for elastic wave propagation. Zbl 1231.74185
Seriani, G.; Oliveira, S. P.
2008
On smooth traveling waves of an integrable two-component Camassa-Holm shallow water system. Zbl 1231.76063
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2009
The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems. Zbl 0444.45010
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1980
Torsional surface waves in a gradient-elastic half-space. Zbl 1074.74567
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2000
On the evolution law of weak discontinuities for hyperbolic quasi-linear systems. Zbl 0418.35065
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1979
Variational principles for dynamic problems for inhomogeneous elastic media. Zbl 0453.73004
Willis, J. R.
1981
A new method of computation of wave fields using Gaussian beams. Zbl 0521.70021
Popov, M. M.
1982
On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties. Zbl 0764.73022
Alshits, V. I.; Darinskij, A. N.; Lothe, J.
1992
Elastic cloaking theory. Zbl 1283.74024
Norris, A. N.; Shuvalov, A. L.
2011
Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves. Zbl 0434.76018
Crawford, Donald R.; Saffman, Philip G.; Yuen, Henry C.
1980
Waves in nonlinear fluid filled tubes. Zbl 0545.76178
Tait, R. J.; Moodie, T. Bryant
1984
Applications of the method of complex functions to dynamic stress concentrations. Zbl 0484.73007
Liu, Diankui; Gai, Bingzheng; Tao, Guiyuan
1982
Solution of acoustic scattering problems by means of second kind integral equations. Zbl 0522.73022
Rokhlin, V.
1983
High-order non-reflecting boundary conditions for dispersive waves. Zbl 1163.74357
Givoli, Dan; Neta, Beny
2003
Exact solutions to the KdV–Burgers’ equation. Zbl 0833.35124
Jeffrey, A.; Mohamad, M. N. B.
1991
Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Zbl 1074.74541
Dai, H.-H.
1998
A class of doubly periodic waves for nonlinear evolution equations. Zbl 1163.74329
Chow, K. W.
2002
A simple self-consistent analysis of wave propagation in particulate composites. Zbl 0632.73005
Sabina, F. J.; Willis, J. R.
1988
Note on the modified nonlinear Schrödinger equation for deep water waves. Zbl 0565.76020
Stiassnie, Michael
1984
Some general periodic solutions to coupled nonlinear Schrödinger equations. Zbl 1074.35579
Porubov, A. V.; Parker, D. F.
1999
Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas. Zbl 1231.76132
Pandey, Manoj; Sharma, V. D.
2007
A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426
Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley
2003
Numerical investigations of stabilized finite element computations for acoustics. Zbl 1163.74365
Harari, Isaac; Magoulès, Frédéric
2004
An energy-consistent dispersive shallow-water model. Zbl 1074.76510
Christov, C. I.
2001
Discrete scattering theory: Green’s function for a square lattice. Zbl 1231.35135
Martin, P. A.
2006
Initial stresses in elastic solids: constitutive laws and acoustoelasticity. Zbl 1239.74013
Shams, M.; Destrade, M.; Ogden, R. W.
2011
On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380
Khusnutdinova, K. R.; Pelinovsky, D. E.
2003
Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection. Zbl 1189.74070
Dominguez, N.; Gibiat, V.; Esquerre, Y.
2005
Exact solutions to the Korteweg-de Vries-Burgers equation. Zbl 0698.35139
Jeffrey, Alan; Xu, Siqing
1989
Interactions of breathers and solitons in the extended Korteweg-de Vries equation. Zbl 1231.35196
Chow, K. W.; Grimshaw, R. H. J.; Ding, E.
2005
Guided elastic waves and perfectly matched layers. Zbl 1231.74188
Skelton, Elizabeth A.; Adams, Samuel D. M.; Craster, Richard V.
2007
Generalized Darboux transformation and localized waves in coupled Hirota equations. Zbl 1456.35189
Wang, Xin; Li, Yuqi; Chen, Yong
2014
Reflection and transmission at the ocean/sea-ice boundary. Zbl 1163.74394
Linton, C. M.; Chung, Hyuck
2003
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Zbl 1231.74373
Parnell, W. J.; Abrahams, I. D.
2006
A Green’s function approach to the determination of internal fields. Zbl 0697.73078
Krueger, R. J.; Ochs, R. L. jun.
1989
Natural frequencies and modes of a Timoshenko beam. Zbl 1231.74281
van Rensburg, N. F. J.; van Der Merwe, A. J.
2006
On formulas for the Rayleigh wave speed. Zbl 1163.74454
Vinh, Pham Chi; Ogden, R. W.
2004
One-dimensional wave propagation in a highly discontinuous medium. Zbl 0626.73019
Burridge, Robert; Papanicolaou, George S.; White, Benjamin S.
1988
Reflection and transmission of scalar waves by a periodic array of screens. Zbl 0581.73030
Achenbach, J. D.; Li, Z. L.
1986
Evolution of lump solutions for the KP equation. Zbl 0936.76502
Minzoni, A. A.; Smyth, N. F.
1996
Diffraction by conical surfaces at high frequencies. Zbl 0721.73011
Smyshlyaev, V. P.
1990
Comments on the relation between surface wave theory and the theory of reflection. Zbl 0471.73018
Alshits, V. I.; Lothe, J.
1981
A classification of duct modes based on surface waves. Zbl 1163.74431
Rienstra, Sjoerd W.
2003
Interaction of two lump solitons described by the Kadomtsev-Petviashvili equation. Zbl 1163.74397
Lu, Zhiming; Tian, Emily M.; Grimshaw, Roger
2004
Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth. Zbl 0625.76020
Brinch-Nielsen, U.; Jonsson, I. G.
1986
Green’s function for the vector wave equation in a mildly heterogeneous continuum. Zbl 0954.74522
Manolis, George D.; Shaw, Richard Paul
1996
Wave propagation using bases for bandlimited functions. Zbl 1189.76456
Beylkin, G.; Sandberg, K.
2005
Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006
2010
Wang, Ze-Ping; Sun, C. T.
2002
Dirichlet-to-Neumann map for three-dimensional elastic waves. Zbl 1163.74351
Gächter, Günter K.; Grote, Marcus J.
2003
Response of a layered viscoelastic half-space to a moving point load. Zbl 0926.74038
de Barros, F. C. P.; Luco, J. E.
1994
A new formula for the velocity of Rayleigh waves. Zbl 0954.74529
Nkemzi, Daniel
1997
Numerical modeling of elastic wave propagation and scattering with EFIT – elastodynamic finite integration technique. Zbl 0968.74603
Fellinger, P.; Marklein, R.; Langenberg, K. J.; Klaholz, S.
1995
A polynomial approach to the analysis of guided waves in anisotropic cylinders of infinite length. Zbl 1189.74057
Elmaimouni, L.; Lefebvre, J. E.; Zhang, V.; Gryba, T.
2005
Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Zbl 1456.74070
Craster, R. V.; Joseph, L. M.; Kaplunov, J.
2014
Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516
Bernard, J. M. L.; Lyalinov, M. A.
2001
Resonant effects in scattering by periodic arrays. Zbl 1231.76275
Linton, C. M.; Thompson, I.
2007
On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity. Zbl 1454.74075
Gourgiotis, P. A.; Georgiadis, H. G.; Neocleous, I.
2013
Non-reflecting boundary conditions for the two-dimensional Schrödinger equation. Zbl 1163.74435
Schädle, Achim
2002
Asymptotic soliton train solutions of Kaup — Boussinesq equations. Zbl 1163.74376
Kamchatnov, A. M.; Kraenkel, R. A.; Umarov, B. A.
2003
A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. Zbl 1163.74344
Farhat, Charbel; Wiedemann-Goiran, Paul; Tezaur, Radek
2004
Microlocal analysis of a seismic linearized inverse problem. Zbl 1074.86516
Stolk, Christiaan C.
2000
Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying
2009
A review of wave motion in anisotropic and cracked elastic-media. Zbl 0472.73021
Crampin, Stuart
1981
Scattering of sound by two parallel semi-infinite screens. Zbl 0612.73027
Abrahams, I. D.
1987
Travelling wave solutions of the Kuramoto-Sivashinsky equation. Zbl 0692.35142
Hooper, A. P.; Grimshaw, R.
1988
Identification of dipole sources in a bounded domain for Maxwell’s equations. Zbl 1074.78506
1998
The Malyuzhinets theory for scattering from wedge boundaries: a review. Zbl 1074.76611
Osipov, A. V.; Norris, A. N.
1999
Application of a perfectly matched layer to the nonlinear wave equation. Zbl 1231.65186
Appelö, Daniel; Kreiss, Gunilla
2007
Maximization of the quality factor of an optical resonator. Zbl 1231.78007
2008
Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems. Zbl 0775.35004
Muracchini, A.; Ruggeri, T.; Seccia, L.
1992
Eigenmodes of the time reversal operator: A solution to selective focusing in multiple-target media. Zbl 0925.76571
1994
On the KdV soliton formation and discrete spectral analysis. Zbl 0968.76524
Salupere, A.; Maugin, G. A.; Engelbrecht, J.; Kalda, J.
1996
Numerical study of a nonlocal model for water-waves with variable depth. Zbl 1360.76197
Aceves-Sánchez, P.; Minzoni, A. A.; Panayotaros, P.
2013
Scattering of flexural waves by multiple narrow cracks in ice sheets floating on water. Zbl 1231.86006
Porter, R.; Evans, D. V.
2006
Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics. Zbl 1231.76224
Xu, Tao; Zhang, Chun-Yi; Li, Juan; Meng, Xiang-Hua; Zhu, Hong-Wu; Tian, Bo
2007
Efficient computation of steady solitary gravity waves. Zbl 07026853
Dutykh, Denys; Clamond, Didier
2014
Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Zbl 1120.76304
Dai, Hui-Hui; Huo, Yi
2002
A note on the exact travelling wave solution to the KdV — Burgers equation. Zbl 1163.74335
Demiray, Hilmi
2003
“Generalized Burgers’ equation” for nonlinear viscoelastic waves. Zbl 0588.73046
Sugimoto, N.; Kakutani, T.
1985
Multimode, one-dimensional wave propagation in a highly discontinuous medium. Zbl 0687.73035
Burridge, Robert; Chang, Hung-Wen
1989
Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: mathematical justification of the Foldy-Lax model. Zbl 1360.35047
Cassier, Maxence; Hazard, Christophe
2013
Reflection and transmission of elastic waves by the spatially periodic interface between two solids (theory of the integral-equation method). Zbl 0493.73023
Fokkema, J. T.
1980
Weak shock diffraction. Zbl 0524.73027
Hunter, John K.; Keller, Joseph B.
1984
Interaction between a shock and an acceleration wave in a perfect gas for increasing shock strength. Zbl 1231.76130
Mentrelli, Andrea; Ruggeri, Tommaso; Sugiyama, Masaru; Zhao, Nanrong
2008
Phononic properties of hexagonal chiral lattices. Zbl 1231.82083
Spadoni, Alessandro; Ruzzene, Massimo; Gonella, Stefano; Scarpa, Fabrizio
2009
Homogenization of piezoelectric planar Willis materials undergoing antiplane shear. Zbl 07508646
Muhafra, Alan; Kosta, Majd; Torrent, Daniel; Pernas-Salomón, René; Shmuel, Gal
2022
Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. Zbl 07425573
Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing
2021
Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation. Zbl 07428543
Lou, Yu; Zhang, Yi; Ye, Rusuo; Li, Miao
2021
The mKdV equation and multi-parameters rational solutions. Zbl 07425543
Gaillard, Pierre
2021
Shape optimization of acoustic devices using the scaled boundary finite element method. Zbl 07428504
Khajah, Tahsin; Liu, Lei; Song, Chongmin; Gravenkamp, Hauke
2021
Time-dependent wave propagation on a variable Winkler foundation with compression. Zbl 07428540
Boral, Susam; Meylan, Michael H.; Sahoo, Trilochan
2021
The electromomentum effect in piezoelectric Willis scatterers. Zbl 07428545
Pernas-Salomón, René; Haberman, Michael R.; Norris, Andrew N.; Shmuel, Gal
2021
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach. Zbl 07508640
Pu, Juncai; Peng, Weiqi; Chen, Yong
2021
Plate arrays as a perfectly-transmitting negative-refraction metamaterial. Zbl 07425548
Porter, Richard
2021
Propagation of Rayleigh wave in initially-stressed compressible hyperelastic materials. Zbl 07425550
Ejaz, K.; Shams, M.
2021
Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves. Zbl 07425557
Oruç, Ömer
2021
Tunnelling around bends – wave scattering in curved shell structures. Zbl 07425560
Mohammed, Neekar M.; Creagh, Stephen C.; Tanner, Gregor
2021
A 3D analysis of the acoustic radiation force in microfluidic channel with rectangular geometry. Zbl 07425563
Vargas-Jiménez, A.; Camacho, M.; Muñoz, J. D.; González, I.
2021
On the singular behavior of the Stokes drift in layered miscible fluids. Zbl 07425567
Weber, Jan Erik H.; Christensen, Kai H.
2021
A frequency domain method for scattering problems with moving boundaries. Zbl 07425570
Gasperini, D.; Beise, H. P.; Schroeder, U.; Antoine, X.; Geuzaine, C.
2021
A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions. Zbl 07425575
Fan, Fang-Cheng; Wen, Xiao-Yong
2021
Low-frequency flexural wave attenuation in metamaterial sandwich beam with hourglass lattice truss core. Zbl 07428511
Guo, Zhenkun; Hu, Guobiao; Sorokin, Vladislav; Tang, Lihua; Yang, Xiaodong; Zhang, Jun
2021
Legendre orthogonal polynomial method in calculating reflection and transmission coefficients of fluid-loaded functionally gradient plates. Zbl 07428514
Gao, Jie; Lyu, Yan; Song, Guorong; Liu, Mingkun; Zheng, Mingfang; He, Cunfu; Lee, Yungchun
2021
Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme. Zbl 07428523
Shallu; Kukreja, V. K.
2021
Wave self-interactions in continuum phononic materials with periodic contact nonlinearity. Zbl 07428525
Patil, Ganesh U.; Matlack, Kathryn H.
2021
Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation. Zbl 07428537
Yang, Yunqing; Dong, Huanhe; Chen, Yong
2021
Variational principles and finite element Bloch analysis in couple stress elastodynamics. Zbl 07428556
Guarín-Zapata, Nicolás; Gomez, Juan; Hadjesfandiari, Ali Reza; Dargush, Gary F.
2021
Characteristics of rogue waves on a periodic background for the Hirota equation. Zbl 07312392
Peng, Wei-Qi; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian
2020
Analytical methods for perfect wedge diffraction: a review. Zbl 07312401
Nethercote, Matthew A.; Assier, Raphaël C.; Abrahams, I. D.
2020
Influence of imperfect bonding on the reflection and transmission of QP-wave at the interface of two functionally graded piezoelectric materials. Zbl 07222220
Goyal, Suman; Sahu, Sanjeev; Mondal, Sonali
2020
Are waves with negative spatial damping unstable? Zbl 07328365
2020
Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density. Zbl 07328371
Gavrilyuk, S. L.; Gouin, H.
2020
A discontinuous variational principle implying a non-equilibrium dispersion relation for damped acoustic waves. Zbl 1462.76165
Scholle, M.
2020
Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction. Zbl 07312405
Chen, Junchao; Feng, Bao-Feng; Jin, Yongyang
2020
Vector rational and semi-rational rogue wave solutions in the coupled complex modified Korteweg-de Vries equations. Zbl 07222217
Ye, Rusuo; Zhang, Yi; Zhang, Qinyu; Chen, Xiaotong
2020
Poroacoustic solitary waves under the unidirectional Darcy-Jordan model. Zbl 07222286
Jordan, P. M.
2020
On invariance in $$1+1$$-dimensional isentropic relativistic gasdynamics. Zbl 07222295
Rogers, Colin; Ruggeri, Tommaso
2020
Second-harmonic generation of two-dimensional elastic wave propagation in an infinite layered structure with nonlinear spring-type interfaces. Zbl 07328348
2020
Asymptotic modeling of Helmholtz resonators including thermoviscous effects. Zbl 07328357
Brandão, Rodolfo; Schnitzer, Ory
2020
Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations. Zbl 07328374
Jagtap, Ameya D.; Kumar, Rakesh
2020
A generalized complex mKdV equation: Darboux transformations and explicit solutions. Zbl 07328377
Li, Yihao; Li, Ruomeng; Xue, Bo; Geng, Xianguo
2020
Finite scale theory: predicting nature’s shocks. Zbl 07328381
Margolin, L. G.; Plesko, C. S.; Reisner, J. M.
2020
CADD: a seamless solution to the domain decomposition problem of subdomain boundaries and cross-points. Zbl 07328382
Gordon, Dan; Gordon, Rachel
2020
Full-wave numerical simulation of nonlinear dissipative acoustic standing waves in wind instruments. Zbl 07328389
Velasco-Segura, Roberto; Rendón, Pablo L.
2020
Nonlinear elastic wave propagation in a phononic material with periodic solid-solid contact interface. Zbl 07312395
Grinberg, I.; Matlack, K. H.
2020
Wave dispersion and dissipation performance of locally resonant acoustic metamaterials using an internal variable model. Zbl 07312403
Abbasi, Taufeeq Ur Rehman; Zheng, Hui
2020
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
2020
Singularities and spectral asymptotics of a random nonlinear wave in a nondispersive system. Zbl 07206040
Gurbatov, S. N.; Rudenko, O. V.; Tyurina, A. V.
2020
High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods. Zbl 07206041
Villamizar, Vianey; Grundvig, Dane; Rojas, Otilio; Acosta, Sebastian
2020
The application of the lattice Boltzmann method to the one-dimensional modeling of pulse waves in elastic vessels. Zbl 1483.76073
Ilyin, Oleg
2020
Sound radiation from a semi-infinite lined duct. Zbl 07222208
Peake, N.; Abrahams, I. D.
2020
Scattering of plane monochromatic waves from a heterogeneous inclusion of arbitrary shape in a poroelastic medium: an efficient numerical solution. Zbl 07222210
Kanaun, S.; Levin, V.; Markov, M.
2020
Active control of Helmholtz fields in 3D using an array of sources. Zbl 07222293
Egarguin, Neil Jerome A.; Zeng, Shubin; Onofrei, Daniel; Chen, Jiefu
2020
Response of second-harmonic generation of Lamb wave propagation to microdamage thickness in a solid plate. Zbl 07328345
Gao, Guangjian; Liu, Chang; Hu, Ning; Deng, Mingxi; Chen, Han; Xiang, Yanxun
2020
Boundary-layer approach to high-frequency diffraction by a jump of curvature. Zbl 07328349
Zlobina, Ekaterina A.; Kiselev, Aleksei P.
2020
New solutions of the C. S. Y. equation reveal increases in freak wave occurrence. Zbl 07328356
2020
Sommerfeld-type integrals for discrete diffraction problems. Zbl 07328362
Shanin, A. V.; Korolkov, A. I.
2020
Reconciling different formulations of viscous water waves and their mass conservation. Zbl 07328364
Eeltink, D.; Armaroli, A.; Brunetti, M.; Kasparian, J.
2020
A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators. Zbl 07328366
Ammari, Habib; Imeri, Kthim
2020
Numerical computation of solitary wave solutions of the Rosenau equation. Zbl 07328370
Erbay, H. A.; Erbay, S.; Erkip, A.
2020
Jordan-Cattaneo waves: analogues of compressible flow. Zbl 07328376
Straughan, B.
2020
Stability of the stationary solutions of the Allen-Cahn equation with non-constant stiffness. Zbl 1466.76020
Buttà, Paolo; Cirillo, Emilio N. M.; Sciarra, Giulio
2020
Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers. Zbl 07328386
Wiltshaw, Richard; Craster, Richard V.; Makwana, Mehul P.
2020
Nonlinear frequency mixing of Lamb wave for detecting randomly distributed microcracks in thin plates. Zbl 07328387
Yin, Jiawen; Wei, Qin; Zhu, Liyong; Han, Meng
2020
Rattle noise source localization through the time reversal of dispersive vibration signals on a road vehicle. Zbl 07312391
Kwak, Yunsang; Park, Sang Mok; Lee, Jongho; Park, Junhong
2020
Acoustic radiation force on an elastic cylinder in a Gaussian beam near an impedance boundary. Zbl 07312400
Qiao, Yupei; Wang, Haibin; Liu, Xiaozhou; Zhang, Xiaofeng
2020
Analytical solutions of tsunamis generated by underwater earthquakes. Zbl 07312406
Liu, Chi-Min
2020
Investigation of flexural wave band gaps in a locally resonant metamaterial with plate-like resonators. Zbl 07312407
Jung, Jaesoon; Goo, Seongyeol; Wang, Semyung
2020
A finite wavelet domain method for wave propagation analysis in thick laminated composite and sandwich plates. Zbl 07206045
Nastos, C. V.; Saravanos, D. A.
2020
Akhmediev breather signatures from dispersive propagation of a periodically phase-modulated continuous wave. Zbl 07206046
Andral, Ugo; Kibler, Bertrand; Dudley, John M.; Finot, Christophe
2020
Finite element modeling of micropolar-based phononic crystals. Zbl 07222207
Guarín-Zapata, Nicolás; Gomez, Juan; Valencia, Camilo; Dargush, Gary F.; Hadjesfandiari, Ali Reza
2020
Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations. Zbl 07222209
Labat, Justine; Péron, Victor; Tordeux, Sébastien
2020
Acoustic cloaking: geometric transform, homogenization and a genetic algorithm. Zbl 07222211
Pomot, Lucas; Payan, Cédric; Remillieux, Marcel; Guenneau, Sébastien
2020
Frequency-dependent acoustic energy focusing in hexagonal ceramic micro-scaffolds. Zbl 07222213
Grabec, Tomáš; Koller, Martin; Sedlák, Petr; Kruisová, Alena; Román-Manso, Benito; Belmonte, Manuel; Miranzo, Pilar; Seiner, Hanuš
2020
Elastodynamic behavior of mechanical cloaks designed by direct lattice transformations. Zbl 07222214
Kadic, Muamer; Wegener, Martin; Nicolet, André; Zolla, Frédéric; Guenneau, Sébastien; Diatta, André
2020
Active vibration control of thin constrained composite damping plates with double piezoelectric layers. Zbl 07222216
Cao, Xiongtao; Tanner, Gregor; Chronopoulos, Dimitrios
2020
Nonlocal coupled thermoelastic wave propagation band structures of nano-scale phononic crystal beams based on GN theory with energy dissipation: an analytical solution. Zbl 07222218
Hosseini, Seyed Mahmoud; Zhang, Chuanzeng
2020
Some discrete soliton solutions and interactions for the coupled Ablowitz-Ladik equations with branched dispersion. Zbl 07222287
Yu, Fajun; Yu, Jiaming; Li, Li
2020
Dispersive shock waves in three dimensional Benjamin-Ono equation. Zbl 07222288
Demirci, Ali
2020
Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation. Zbl 07222128
2019
Numerical approximation to Benjamin type equations. Generation and stability of solitary waves. Zbl 1464.76016
Dougalis, V. A.; Duran, A.; Mitsotakis, D.
2019
Flexural wave band gaps in multi-resonator elastic metamaterial Timoshenko beams. Zbl 07222231
Miranda, E. J. P. jun.; Dos Santos, J. M. C.
2019
Rayleigh-Bloch, topological edge and interface waves for structured elastic plates. Zbl 07215426
Chaplain, G. J.; Makwana, Mehul P.; Craster, R. V.
2019
Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 07222033
Geng, Xianguo; Shen, Jing; Xue, Bo
2019
Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields. Zbl 07215427
Bellis, C.; Lombard, B.
2019
An oversampled collocation approach of the wave based method for Helmholtz problems. Zbl 07221212
Huybrechs, Daan; Olteanu, Anda-Elena
2019
High-frequency structure- and air-borne sound transmission for a tractor model using dynamical energy analysis. Zbl 07221215
Hartmann, Timo; Morita, Satoshi; Tanner, Gregor; Chappell, David J.
2019
Longitudinal and transverse elastic waves in 1D granular materials modeled as micromorphic continua. Zbl 07222130
2019
Extraordinary transmission through a narrow slit. Zbl 07222225
Holley, Jacob R.; Schnitzer, Ory
2019
Observation of turbulence and intermittency in wave-induced oscillatory flows. Zbl 07215310
Alberello, Alberto; Onorato, Miguel; Frascoli, Federico; Toffoli, Alessandro
2019
Contour integral solutions of the parabolic wave equation. Zbl 07215311
Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P.
2019
On solutions of a Boussinesq-type equation with displacement-dependent nonlinearity: a soliton doublet. Zbl 07215314
Peets, Tanel; Tamm, Kert; Simson, Päivo; Engelbrecht, Jüri
2019
Characteristic parameters of nonlinear surface envelope waves beneath an ice cover under pre-stress. Zbl 07215415
Il&rsquo;ichev, Andrej T.; Tomashpolskii, Viktor Ja.
2019
Kink-type solitary waves within the quasi-linear viscoelastic model. Zbl 07215428
De Pascalis, Riccardo; Napoli, Gaetano; Saccomandi, Giuseppe
2019
Wave propagation in an elastic metamaterial with anisotropic effective mass density. Zbl 07222043
Jaberzadeh, Mehran; Li, Bing; Tan, K. T.
2019
Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface. Zbl 1465.74087
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela
2019
Effect of Bragg scattering due to bottom undulation on a floating dock. Zbl 07222126
Kar, P.; Sahoo, T.; Behera, H.
2019
Wave propagation from lateral Cauchy data using a boundary element method. Zbl 07222227
Chapko, Roman; Johansson, B. Tomas; Muzychuk, Yuriy; Hlova, Andriy
2019
Application of Legendre orthogonal polynomial method in calculating reflection and transmission coefficients of multilayer plates. Zbl 07215306
Guorong, Song; Mingkun, Liu; Yan, Lyu; Yungchun, Lee; Bin, Wu; Cunfu, He
2019
Dynamics of modulated waves in a nonlinear microtubule RLC transmission line. Zbl 07215307
Mvogo, Alain; Ndzana, Fabien II; Kofané, Timoléon Crépin
2019
Nonlinear pressure-velocity waveforms in large arteries, shock waves and wave separation. Zbl 1483.76074
Ilyin, Oleg
2019
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations. Zbl 1465.74093
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio
2019
On the calculation of wave attenuation along rough strings using individual and effective fields. Zbl 07215317
Rupprecht, Sebastian; Bennetts, Luke G.; Peter, Malte A.
2019
Solitary wave propagation in elastic bars with multiple sections and layers. Zbl 07215416
Tranter, M. R.
2019
The role of material and geometric nonlinearities in acoustoelasticity. Zbl 07215420
Pau, Annamaria; Vestroni, Fabrizio
2019
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### Cited by 7,760 Authors

 46 Givoli, Dan 39 Nazarov, Sergeĭ Aleksandrovich 38 Grimshaw, Roger Hamilton James 36 Garnier, Josselin 36 Zhang, Chuanzeng 33 Demiray, Hilmi 26 Engelbrecht, Jüri 25 de Hoop, Maarten V. 25 Wang, Yuesheng 24 Abrahams, I. David 24 Qian, Jianliang 23 Bal, Guillaume 23 Craster, Richard V. 23 Lyalinov, Mikhail Anatolievich 23 Norris, Andrew N. 23 Shuvalov, Alexander L. 22 Vinh, Pham Chi 21 Kalisch, Henrik 21 Ruggeri, Tommaso 21 Sahoo, Trilochan 21 Tian, Bo 20 Gao, Yitian 20 Kaplunov, Julius D. 20 Sølna, Knut 20 Tian, Shoufu 19 Achenbach, Jan D. 19 Ma, Wen-Xiu 19 Martin, Paul Andrew 19 Maugin, Gérard A. 19 Parnell, William J. 18 Antoine, Xavier 18 Manolis, George D. 18 Morro, Angelo 18 Movchan, Alexander B. 18 Saccomandi, Giuseppe 18 Ting, Thomas C. T. 17 Dineva, Petia S. 17 Rogerson, Graham A. 17 Salupere, Andrus 17 Sharma, Basant Lal 16 Brambley, Edward James 16 Dutykh, Denys 16 Harari, Isaac 16 Jin, Shi 16 Lombard, Bruno 16 Lothe, Jens 16 Sharma, Vishnu Dutt 15 Darinskii, A. N. 15 Zheng, Chunxiong 14 Alshits, Vladimir I. 14 Caviglia, Giacomo 14 Kharif, Christian 14 Liu, Hailiang 14 Neff, Patrizio 14 Papanicolaou, George C. 14 Rangelov, Tsviatko V. 14 Van Groesen, Embrecht W. C. 13 Bao, Gang 13 Gautesen, Arthur K. 13 Geng, Xianguo 13 He, Jingsong 13 Li, Peijun 13 Liu, Yue 13 Ogden, Raymond William 13 Smyth, Noel Frederick 13 Stepanyants, Yury A. 13 Xu, Tao 12 Bennetts, Luke G. 12 Bonnet, Marc 12 Destrade, Michel 12 Escher, Joachim 12 Grote, Marcus J. 12 Gupta, Shishir 12 Guyenne, Philippe 12 Guzina, Bojan B. 12 Jeffrey, Alan P. 12 Kreiss, Gunilla 12 Liu, Diankui 12 Meylan, Michael H. 12 Nicholls, David P. 12 Pelinovsky, Dmitry Efimovich 12 Pinaud, Olivier 12 Shanin, Andrey V. 12 Tanner, Gregor K. 12 Trulsen, Karsten 12 Watanabe, Kazumi 12 Wei, Peijun 12 Willis, John Raymond 12 Yu, Xin 11 Ai, Zhiyong 11 Ammari, Habib M. 11 Babich, Vasiliĭ Mikhaĭlovich 11 Boyd, John Philip 11 Bridges, Thomas J. 11 Burridge, Robert 11 Chattopadhyay, Amares 11 de Hoop, Adrianus T. 11 Hagstrom, Thomas M. 11 Jones, Ian S. 11 Li, Fengming ...and 7,660 more Authors
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### Cited in 408 Journals

 1,182 Wave Motion 279 Journal of Computational Physics 271 Journal of Fluid Mechanics 169 Computer Methods in Applied Mechanics and Engineering 157 Acta Mechanica 121 Journal of Mathematical Physics 120 Applied Mathematical Modelling 113 Engineering Analysis with Boundary Elements 112 Applied Mathematics and Computation 111 International Journal of Engineering Science 100 Physica D 88 Journal of Engineering Mathematics 81 Mathematics and Mechanics of Solids 81 European Journal of Mechanics. A. Solids 81 Communications in Nonlinear Science and Numerical Simulation 79 ZAMP. Zeitschrift für angewandte Mathematik und Physik 78 Journal of Computational and Applied Mathematics 70 European Journal of Mechanics. B. Fluids 70 Waves in Random and Complex Media 64 Journal of the Mechanics and Physics of Solids 60 Computers & Mathematics with Applications 55 Applicable Analysis 55 Physics of Fluids 55 Journal of Mathematical Sciences (New York) 54 Journal of Mathematical Analysis and Applications 54 International Journal for Numerical Methods in Engineering 52 Chaos, Solitons and Fractals 51 Nonlinear Dynamics 51 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 49 Applied Numerical Mathematics 49 Computational Mechanics 47 International Journal of Solids and Structures 47 Meccanica 46 SIAM Journal on Applied Mathematics 45 Journal of Scientific Computing 44 Applied Mathematics Letters 41 Journal of Differential Equations 41 Applied Mathematics and Mechanics. (English Edition) 41 Journal of Elasticity 41 Archive of Applied Mechanics 41 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 40 Mathematical Methods in the Applied Sciences 39 Physics Letters. A 39 Mathematics and Computers in Simulation 38 Mathematical Problems in Engineering 37 Journal of Computational Acoustics 36 Studies in Applied Mathematics 35 Chaos 29 Inverse Problems 28 Nonlinear Analysis. Real World Applications 27 Advances in Mathematical Physics 25 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 SIAM Journal on Scientific Computing 20 Computers and Fluids 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Mathematical and Computer Modelling 19 Acta Applicandae Mathematicae 19 Communications in Partial Differential Equations 19 Abstract and Applied Analysis 19 Communications in Computational Physics 19 Water Waves 18 Archive for Rational Mechanics and Analysis 18 Quarterly of Applied Mathematics 18 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 18 Multiscale Modeling & Simulation 17 International Journal of Modern Physics B 17 SIAM Journal on Numerical Analysis 17 Journal of Applied Mathematics 17 Acta Mechanica Sinica 16 Communications in Mathematical Physics 16 European Journal of Applied Mathematics 16 Numerical Algorithms 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Computational and Applied Mathematics 16 Discrete and Continuous Dynamical Systems 15 Mathematics of Computation 15 Numerische Mathematik 15 SIAM Journal on Mathematical Analysis 15 Advances in Computational Mathematics 15 Journal of Mathematical Fluid Mechanics 15 The ANZIAM Journal 15 Journal of Nonlinear Mathematical Physics 15 Analysis and Mathematical Physics 14 Nonlinearity 14 Theoretical and Mathematical Physics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Continuum Mechanics and Thermodynamics 14 Communications in Numerical Methods in Engineering 14 International Journal of Applied and Computational Mathematics 13 Mechanics Research Communications 13 Lobachevskii Journal of Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Inverse Problems in Science and Engineering 12 Computer Physics Communications 12 Journal of Applied Mathematics and Mechanics 12 Monatshefte für Mathematik 12 International Journal of Computer Mathematics 12 Journal of Nonlinear Science 12 Russian Journal of Mathematical Physics 12 Computational Geosciences ...and 308 more Journals
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### Cited in 54 Fields

 2,597 Partial differential equations (35-XX) 2,573 Mechanics of deformable solids (74-XX) 2,205 Fluid mechanics (76-XX) 1,212 Numerical analysis (65-XX) 628 Optics, electromagnetic theory (78-XX) 411 Geophysics (86-XX) 395 Dynamical systems and ergodic theory (37-XX) 174 Statistical mechanics, structure of matter (82-XX) 164 Ordinary differential equations (34-XX) 139 Quantum theory (81-XX) 124 Integral equations (45-XX) 100 Biology and other natural sciences (92-XX) 74 Mechanics of particles and systems (70-XX) 66 Operator theory (47-XX) 63 Probability theory and stochastic processes (60-XX) 63 Classical thermodynamics, heat transfer (80-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 52 Special functions (33-XX) 41 Computer science (68-XX) 38 Systems theory; control (93-XX) 36 Integral transforms, operational calculus (44-XX) 32 Approximations and expansions (41-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 30 Global analysis, analysis on manifolds (58-XX) 30 Information and communication theory, circuits (94-XX) 28 Real functions (26-XX) 23 Functions of a complex variable (30-XX) 21 Potential theory (31-XX) 21 Difference and functional equations (39-XX) 17 General and overarching topics; collections (00-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Differential geometry (53-XX) 15 Functional analysis (46-XX) 14 Astronomy and astrophysics (85-XX) 13 History and biography (01-XX) 10 Relativity and gravitational theory (83-XX) 9 Statistics (62-XX) 8 Topological groups, Lie groups (22-XX) 7 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)