## Studies in Applied Mathematics

 Short Title: Stud. Appl. Math. Publisher: Wiley (Wiley-Blackwell), Hoboken, NJ ISSN: 0022-2526; 1467-9590/e Online: http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590/issues Predecessor: Journal of Mathematics and Physics Comments: Indexed cover-to-cover; Journal abbreviations vary in sources of the older volumes
 Documents Indexed: 1,605 Publications (since 1969) References Indexed: 1,158 Publications with 23,347 References.
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### Latest Issues

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### Authors

 43 Ablowitz, Mark Jay 39 Grimshaw, Roger Hamilton James 34 Benney, David J. 28 Yang, Jianke 24 Wan, Frederic Yui-Ming 22 Moodie, T. Bryant 20 Fokas, Athanassios S. 20 Kleitman, Daniel J. 19 Milewski, Paul A. 19 Saffman, Philip Geoffrey 18 Rogers, Colin 17 Sachdev, P. L. 17 Ward, Michael J. 16 Knessl, Charles 14 Akylas, T. R. 14 Clarkson, Peter A. 14 Rosales, Rodolfo Ruben 14 Wong, Roderick Sue-Chuen 13 Schief, Wolfgang Karl 12 Greenspan, Harvey P. 12 Maslowe, Sherwin A. 11 Biondini, Gino 11 Haberman, Richard 11 Mayil Vaganan, B. 11 Yeh, Yeong-Nan 10 Howard, Louis N. 10 Kaup, David J. 10 Lange, Charles G. 10 Pelinovsky, Dmitry Efimovich 10 Reissner, Eric 9 Joshi, Nalini 9 Konopelchenko, Boris Georgievich 9 Majda, Andrew J. 8 Bassom, Andrew P. 8 Bridges, Thomas J. 8 Cosgrove, Christopher M. 8 Fowler, Andrew C. 8 Howes, Frederick A. 8 O’Malley, Robert E. jun. 8 Prinari, Barbara 8 Segur, Harvey 8 Swaters, Gordon E. 8 Trione, Susana Elena 8 Villarroel, Javier 8 Yu, Jun 7 Choi, Wooyoung 7 Deconinck, Bernard 7 Fan, Engui 7 Hall, Philip 7 Ranger, Keith B. 7 Sharma, Vishnu Dutt 7 Tenenblat, Keti 7 Verde-Star, Luis 6 Byatt-Smith, John G. B. 6 Galaktionov, Victor Aleksandrovich 6 He, Yuanping 6 Keller, Joseph Bishop 6 López, José Luis 6 Lou, Senyue 6 Ma, Yan-Chow 6 Newell, Alan C. 6 Ohta, Yasuhiro 6 Pascal, Jean-Paul 6 Rao, Chidella Srinivasa 6 Rosenblat, S. 6 Rota, Gian-Carlo 6 Srivastava, Hari Mohan 6 Temme, Nico M. 6 Varley, Eric 6 Wei, Juncheng 5 An, Hongli 5 Beals, Richard W. 5 Cohen, Donald Sussman 5 Criminale, William O. jun. 5 Dunster, T. M. 5 El, Gennady A. 5 Feng, Baofeng 5 Goulden, Ian P. 5 He, Jingsong 5 Hoefer, Mark A. 5 Jackson, David M. 5 Johnson, Mathew A. 5 Kath, William L. 5 Li, Y. Charles 5 Minzoni, Antonmaria Alessio 5 Nixon, Sean D. 5 Orszag, Steven Alan 5 Qu, Changzheng 5 Seymour, Brian R. 5 Shearer, James B. 5 Stanley, Richard Peter 5 Stepanyants, Yury A. 5 Straughan, Brian 5 Turkyilmazoglu, Mustafa 5 Zhang, Dajun 5 Zhao, Yuqiu 4 Akers, Benjamin F. 4 Amundsen, David E. 4 Barouch, Eytan 4 Błaszak, Maciej ...and 1,458 more Authors
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### Fields

 718 Partial differential equations (35-XX) 569 Fluid mechanics (76-XX) 202 Ordinary differential equations (34-XX) 198 Dynamical systems and ergodic theory (37-XX) 112 Combinatorics (05-XX) 96 Numerical analysis (65-XX) 85 Special functions (33-XX) 70 Geophysics (86-XX) 59 Mechanics of deformable solids (74-XX) 55 Biology and other natural sciences (92-XX) 43 Probability theory and stochastic processes (60-XX) 43 Quantum theory (81-XX) 42 Optics, electromagnetic theory (78-XX) 35 Mechanics of particles and systems (70-XX) 35 Statistical mechanics, structure of matter (82-XX) 29 Approximations and expansions (41-XX) 23 Number theory (11-XX) 23 Classical thermodynamics, heat transfer (80-XX) 22 Integral equations (45-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Difference and functional equations (39-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Operator theory (47-XX) 16 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 16 Systems theory; control (93-XX) 15 Integral transforms, operational calculus (44-XX) 15 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 General and overarching topics; collections (00-XX) 13 Functions of a complex variable (30-XX) 12 Functional analysis (46-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 9 Group theory and generalizations (20-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 6 Nonassociative rings and algebras (17-XX) 5 History and biography (01-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 4 Potential theory (31-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

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1,337 Publications have been cited 16,311 times in 12,411 Documents Cited by Year
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1974
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
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1977
On the boundary condition at the surface of a porous medium. Zbl 0271.76080
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1971
Models for the growth of a solid tumor by diffusion. Zbl 0257.92001
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1972
A proposal for Toeplitz matrix calculations. Zbl 0621.65025
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1986
Coalgebras and bialgebras in combinatorics. Zbl 0471.05020
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On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009
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1974
Wave instabilities. Zbl 0216.52904
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1969
Integrable nonlocal nonlinear equations. Zbl 1373.35281
Ablowitz, Mark J.; Musslimani, Ziad H.
2017
Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081
Kopell, N.; Howard, L. N.
1973
A general theory for interactions between short and long waves. Zbl 0358.76011
Benney, D. J.
1977
A nonlinear difference scheme and inverse scattering. Zbl 0338.35002
Ablowitz, M. J.; Ladik, J. F.
1976
A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Zbl 0274.35041
Russell, David L.
1973
The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009
Stanley, Richard P.
1975
Symmetries and integrability. Zbl 0639.35075
Fokas, A. S.
1987
On the inverse scattering problem for cubic eigenvalue problems of the class $$\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi$$. Zbl 0431.35073
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1980
Numerical simulation of incompressible flows within simple boundaries. I: Galerkin (spectral) representations. Zbl 0237.76012
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1971
The perturbed plane-wave solutions of the cubic Schrödinger equation. Zbl 0412.35028
Ma, Yan-Chow
1979
Theory and application of plane partitions. II. Zbl 0225.05012
Stanley, Richard P.
1971
On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303
Goldman, Jay; Rota, Gian-Carlo
1970
A new class of nonlinear waves in parallel flows. Zbl 0197.25403
Benney, D. J.; Bergeron, R. F. jun.
1969
On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080
Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S.
1983
The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031
Fokas, A. S.; Ablowitz, M. J.
1983
Some properties of long nonlinear waves. Zbl 0259.35011
Benney, D. J.
1973
Weak and strong interactions between internal solitary waves. Zbl 0548.76020
Gear, J. A.; Grimshaw, R.
1984
On one-dimensional large-displacement finite-strain beam theory. Zbl 0267.73032
Reissner, E.
1973
The periodic cubic Schrödinger equation. Zbl 0493.35032
Ma, Yan-Chow; Ablowitz, Mark J.
1981
The velocity of viscous vortex rings. Zbl 0224.76032
Saffman, P. G.
1970
Theory and application of plane partitions. I. Zbl 0225.05011
Stanley, Richard P.
1971
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
1986
Asymptotic solutions of the Korteweg-deVries equation. Zbl 0369.35055
Ablowitz, M. J.; Segur, H.
1977
Convergence and continuous dependence for the Brinkman-Forchheimer equations. Zbl 1136.76448
Payne, L. E.; Straughan, B.
1999
Higher-order Painlevé equations in the polynomial class. I: Bureau symbol P2. Zbl 1136.34350
Cosgrove, Christopher M.
2000
Rational solutions of Painleve equations. Zbl 0496.58012
Airault, H.
1979
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
Critical layers in parallel flows. Zbl 0265.76052
Haberman, Richard
1972
Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023
Chen, B.; Saffman, P. G.
1980
A frequency selection criterion in spatially developing flows. Zbl 0716.76041
Chomaz, Jean-Marc; Huerre, Patrick; Redekopp, Larry G.
1991
The modulation of an internal gravity-wave packet, and the resonance with the mean motion. Zbl 0361.76029
Grimshaw, R. H. J.
1977
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
2017
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
1984
On equations which describe pseudospherical surfaces. Zbl 0696.35111
Rabelo, Mauro L.
1989
High-order solutions and generalized Darboux transformations of derivative nonlinear Schrödinger equations. Zbl 1303.35098
Guo, Boling; Ling, Liming; Liu, Q. P.
2013
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
1979
Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Zbl 0838.76026
Waleffe, Fabian
1995
On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079
Fokas, A. S.; Ablowitz, M. J.
1983
Induced surfaces and their integrable dynamics. Zbl 0869.58027
Konopelchenko, B. G.
1996
Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059
Beals, Richard; Rabelo, Mauro; Tenenblat, Keti
1989
Fourier analysis of the finite element method in Ritz-Galerkin theory. Zbl 0179.22501
Fix, G.; Strang, G.
1969
Soliton solutions of the KP equation and application to shallow water waves. Zbl 1185.35219
Chakravarty, S.; Kodama, Y.
2009
On the inviscid theory of rotating fluids. Zbl 0181.54303
Greenspan, H. P.
1969
Asymptotic representation of solutions of perturbed systems of linear difference equations. Zbl 0628.39002
Benzaid, Z.; Lutz, D. A.
1987
Unsolvability in $$3 \times 3$$ matrices. Zbl 0186.01103
Paterson, Michael S.
1970
Stability, steady-state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey-taxis. Zbl 1373.35324
Song, Yongli; Tang, Xiaosong
2017
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
1970
On the solution of a class of nonlinear partial difference equations. Zbl 0384.35018
Ablowitz, M. J.; Ladik, J. F.
1977
Steady deep-water waves on a linear shear current. Zbl 0572.76022
Simmen, J. A.; Saffman, P. G.
1985
On solutions to a two-component generalized Camassa-Holm equation. Zbl 1189.35255
Guo, Zhengguang; Zhou, Yong
2010
Consistent Riccati expansion for integrable systems. Zbl 1314.35145
Lou, S. Y.
2015
Dynamics of perturbed wavetrain solutions to the Ginzburg-Landau equation. Zbl 0575.76055
Keefe, Laurence R.
1985
Continuous dependence on the heat source in resonant porous penetrative convection. Zbl 1250.80001
Straughan, B.
2011
Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. Zbl 0572.76102
Grimshaw, R.
1985
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
1980
Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001
Foata, Dominique; Zeilberger, Doron
1990
General $$N$$-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
2011
Perturbations of solitons and solitary waves. Zbl 0486.76029
Kodama, Yuji; Ablowitz, Mark J.
1981
The evolution of multi-phase modes for nonlinear dispersive waves. Zbl 0203.41001
Ablowitz, M. J.; Benney, D. J.
1970
Asymptotics beyond all orders in a model of crystal growth. Zbl 0732.34047
Kruskal, Martin D.; Segur, Harvey
1991
The existence and stability of asymmetric spike patterns for the Schnakenberg model. Zbl 1152.35397
Ward, Michael J.; Wei, Juncheng
2002
On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy. Zbl 0274.05008
Doubilet, Peter
1972
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
1986
The complete solution of the long-wave-short-wave resonance equations. Zbl 0399.76028
Ma, Yan-Chow
1978
Marginal separation. Zbl 0514.76039
Stewartson, Keith; Smith, F. T.; Kaups, Kalle
1982
Activators and inhibitors in pattern formation. Zbl 0407.92023
Keener, James P.
1978
The inverse scattering transform for the defocusing nonlinear Schrödinger equations with nonzero boundary conditions. Zbl 1311.35277
Demontis, F.; Prinari, B.; van der Mee, C.; Vitale, F.
2013
Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070
Howard, L. N.; Kopell, N.
1977
Boundary layer problems exhibiting resonance. Zbl 0198.12901
Ackerberg, R. C.; O’Malley, Robert E. jun.
1970
Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347
Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K.
2002
Group classification and generalized conditional symmetry reduction of the nonlinear diffusion-convection equation with a nonlinear source. Zbl 0879.35031
Qu, Changzheng
1997
Transformations between nonlocal and local integrable equations. Zbl 1392.35297
Yang, Bo; Yang, Jianke
2018
Solutions of nonlocal equations reduced from the AKNS hierarchy. Zbl 1398.35194
Chen, Kui; Deng, Xiao; Lou, Senyue; Zhang, Da-jun
2018
$$P_ 4$$-reducible graphs - a class of uniquely tree-representable graphs. Zbl 0699.05054
Jamison, B.; Olariu, S.
1989
The evolution of a nonlinear critical level. Zbl 0415.76020
Warn, T.; Warn, H.
1978
Painlevé classification of a class of differential equations of the second order and second degree. Zbl 0774.34005
Cosgrove, Christopher M.; Scoufis, George
1993
Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008
Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A.
1995
Series solutions of unsteady boundary-layer flows over a stretching flat plate. Zbl 1145.76352
Liao, Shijun
2006
On the integrability of a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1288.35403
Tian, Shou-Fu; Zhang, Hong-Qing
2014
Contour enhancement, short term memory, and constancies in reverberating neural networks. Zbl 0281.92005
Grossberg, Stephen
1973
On the existence and formulation of variational principles for nonlinear differential equations. Zbl 0322.49019
Atherton, R. W.; Homsy, G. M.
1975
Averaged equations for two-phase flows. Zbl 0225.76051
Drew, Donald A.; Segel, Lee A.
1971
The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: The low feed-rate regime. Zbl 1145.65328
Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng
2005
The evolution in space and time of nonlinear waves in parallel shear flows. Zbl 0332.76028
Benney, D. J.; Maslowe, S. A.
1975
Modulational instability in the Whitham equation for water waves. Zbl 1309.35079
Hur, Vera Mikyoung; Johnson, Mathew A.
2015
A new mechanism for linear and nonlinear hydrodynamic instability. Zbl 0481.76048
Benney, D. J.; Gustavsson, L. Hakan
1981
Comparison of pseudospectral and spectral approximation. Zbl 0282.65083
Orszag, Steven A.
1972
On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395
Joshi, Nalini; Kitaev, A. V.
2001
An affine representation for transversal geometries. Zbl 0309.05018
Brylawski, Thomas H.
1975
On the spectrum and decay of random two-dimensional vorticity distributions at large Reynolds number. Zbl 0237.76029
Saffman, P. G.
1971
Accelerated imaginary-time evolution methods for the computation of solitary waves. Zbl 1191.35227
Yang, Jianke; Lakoba, Taras I.
2008
Chazy classes IX–XI of third-order differential equations. Zbl 1136.34351
Cosgrove, Christopher M.
2000
Completely resonant collision of lumps and line solitons in the Kadomtsev-Petviashvili I equation. Zbl 1476.35081
Rao, Jiguang; Chow, Kwok Wing; Mihalache, Dumitru; He, Jingsong
2021
High-order exceptional points and enhanced sensing in subwavelength resonator arrays. Zbl 1466.81010
Ammari, Habib; Davies, Bryn; Hiltunen, Erik Orvehed; Lee, Hyundae; Yu, Sanghyeon
2021
Commutativity of quaternion-matrix-valued functions and quaternion matrix dynamic equations on time scales. Zbl 1472.34164
Li, Zhien; Wang, Chao; Agarwal, Ravi P.; O&rsquo;Regan, Donal
2021
Analyticity of rotational traveling gravity two-layer waves. Zbl 1466.76014
Chu, Jifeng; Wang, Ling-Jun
2021
Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels. Zbl 1467.82056
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
Lump chains in the KP-I equation. Zbl 1484.35125
Lester, Charles; Gelash, Andrey; Zakharov, Dmitry; Zakharov, Vladimir
2021
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability. Zbl 1487.35313
Binswanger, Adam L.; Hoefer, Mark A.; Ilan, Boaz; Sprenger, Patrick
2021
Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows. Zbl 1472.35347
Biondini, Gino; Lottes, Jonathan; Mantzavinos, Dionyssios
2021
Long-time asymptotic behavior of the fifth-order modified KdV equation in low regularity spaces. Zbl 1479.35743
Liu, Nan; Chen, Mingjuan; Guo, Boling
2021
Rogue waves and lumps on the nonzero background in the $$\mathcal{PT}$$-symmetric nonlocal Maccari system. Zbl 1487.35348
Cao, Yulei; Cheng, Yi; Malomed, Boris A.; He, Jingsong
2021
Mass-in-mass lattices with small internal resonators. Zbl 1471.82011
2021
Sharp estimate of electric field from a conductive rod and application. Zbl 1466.78011
Fang, Xiaoping; Deng, Youjun; Liu, Hongyu
2021
Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations. Zbl 1473.35527
An, Ling; Li, Chuanzhong; Zhang, Lixiang
2021
Differential, difference, and asymptotic relations for Pollaczek-Jacobi type orthogonal polynomials and their Hankel determinants. Zbl 1471.42059
Min, Chao; Chen, Yang
2021
The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. Zbl 07476236
Cisneros, Jorge; Deconinck, Bernard
2021
On the three-dimensional consistency of Hirota’s discrete Korteweg-de Vries equation. Zbl 1483.39009
Joshi, Nalini; Nakazono, Nobutaka
2021
Traveling wave solutions in a model for social outbursts in a tension-inhibitive regime. Zbl 1475.35020
Bakhshi, Marzieh; Ghazaryan, Anna; Manukian, Vahagn; Rodriguez, Nancy
2021
Squared eigenfunction symmetry of the d$$\Delta$$mKP hierarchy and its constraint. Zbl 1487.35340
Chen, Kui; Zhang, Cheng; Zhang, Da-Jun
2021
Uniform (very) sharp bounds for ratios of parabolic cylinder functions. Zbl 1493.33002
Segura, Javier
2021
Infinite time blow-up of solutions to a class of wave equations with weak and strong damping terms and logarithmic nonlinearity. Zbl 1476.35144
Ding, Hang; Wang, Renhai; Zhou, Jun
2021
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids. Zbl 07415606
Singh, Mehakpreet
2021
Dispersive Riemann problems for the Benjamin-Bona-Mahony equation. Zbl 1476.35142
Congy, T.; El, G. A.; Hoefer, M. A.; Shearer, M.
2021
Improved finite-time zeroing neural network for time-varying division. Zbl 1467.93132
Gerontitis, Dimitris; Behera, Ratikanta; Sahoo, Jajati Keshari; Stanimirović, Predrag S.
2021
Exact analytical solution of a novel modified nonlinear Schrödinger equation: solitary quantum waves on a lattice. Zbl 1466.81013
Luo, Jingxi
2021
Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations. Zbl 1468.35050
Borisov, D. I.; Zezyulin, D. A.; Znojil, M.
2021
Dynamics of the predator-prey model with the sigmoid functional response. Zbl 1482.92062
Chen, Xianfeng; Zhang, Xiang
2021
Local symmetry structure and potential symmetries of time-fractional partial differential equations. Zbl 1471.35013
Zhang, Zhi-Yong; Lin, Zhi-Xiang
2021
New revival phenomena for linear integro-differential equations. Zbl 1485.81046
Boulton, Lyonell; Olver, Peter J.; Pelloni, Beatrice; Smith, David A.
2021
The unified transform for evolution equations on the half-line with time-periodic boundary conditions. Zbl 1484.35054
Fokas, A. S.; van der Weele, M. C.
2021
Ocean-depth measurement using shallow-water wave models. Zbl 1487.76020
Vasan, V.; Manisha; Auroux, D.
2021
On analyticity of scattered fields in layered structures with interfacial graphene. Zbl 1487.35359
Nicholls, David P.
2021
Rigorous justification of the Whitham modulation theory for equations of NLS type. Zbl 1487.35350
Clarke, W. A.; Marangell, R.
2021
Optimal quarantine-related strategies for COVID-19 control models. Zbl 1486.92228
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2021
Stability in distribution for age-structured HIV model with delay and driven by Ornstein-Uhlenbeck process. Zbl 1487.35378
Guo, Wenjuan; Ye, Ming; Zhang, Qimin
2021
Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current. Zbl 1481.76054
Gao, T.; Milewski, P. A.; Wang, Z.
2021
Linear integral equations and two-dimensional Toda systems. Zbl 1482.37071
Yin, Yue; Fu, Wei
2021
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials. Zbl 1466.05027
Charlier, Christophe
2021
Using symmetries à Rebours. Zbl 1467.35023
Pucci, Edvige; Saccomandi, Giuseppe
2021
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems. Zbl 1472.82002
Lyu, Shulin; Chen, Yang
2021
The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. I. Permanent form traveling waves. Zbl 1467.35088
Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra
2021
The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. II. Evolution of traveling waves. Zbl 1467.35089
Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra
2021
A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes. Zbl 1467.92195
Escobar-Lasso, Oscar Eduardo; Vasilieva, Olga
2021
An invariant for colored bonded knots. Zbl 1479.57008
Gabrovšek, Boštjan
2021
The linearized classical Boussinesq system on the half-line. Zbl 1478.35176
Johnston, C. M.; Gartman, Clarence T.; Mantzavinos, Dionyssios
2021
Energy thresholds of blow-up for the Hartree equation with a focusing subcritical perturbation. Zbl 1472.35365
Tian, Shuai; Yang, Ying; Zhou, Rui; Zhu, Shihui
2021
On Wiener’s violent oscillations, Popov’s curves, and Hopf’s supercritical bifurcation for a scalar heat equation. Zbl 1467.35037
Guidotti, Patrick; Merino, Sandro
2021
Solutions to a phase-field model for martensitic phase transformations driven by configurational forces. Zbl 1472.35376
Wu, Fan; Bian, Xingzhi; Zhao, Lixian
2021
Spot patterns in the 2-D Schnakenberg model with localized heterogeneities. Zbl 1467.35045
Wong, Tony; Ward, Michael J.
2021
On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip. Zbl 1471.76076
Lunowa, Stephan B.; Bringedal, Carina; Pop, Iuliu Sorin
2021
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid. Zbl 1480.35335
Mori, Yoichiro; Ohm, Laurel
2021
Singular Sturm-Liouville operators with extreme properties that generate black holes. Zbl 1487.34083
Belinskiy, Boris P.; Hinton, Don B.; Nichols, Roger
2021
Essential spectra of singular Hamiltonian differential operators of arbitrary order under a class of perturbations. Zbl 1489.34121
Yang, Chen; Sun, Huaqing
2021
Green’s functions, linear second-order differential equations, and one-dimensional diffusion advection models. Zbl 1500.34022
Yu, Xiao; Lan, Kunquan; Wu, Jianhong
2021
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo
2020
Multi-breather and high-order rogue waves for the nonlinear Schrödinger equation on the elliptic function background. Zbl 1454.35338
Feng, Bao-Feng; Ling, Liming; Takahashi, Daisuke A.
2020
Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies. Zbl 1454.35348
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong
2020
The regularity of the multiple higher-order poles solitons of the NLS equation. Zbl 1478.35183
Zhang, Yongshuai; Tao, Xiangxing; Yao, Tengteng; He, Jingsong
2020
Coefficients of Wronskian Hermite polynomials. Zbl 1442.05016
Bonneux, Niels; Dunning, Clare; Stevens, Marco
2020
Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285
Johnson, Mathew A.; Wright, J. Douglas
2020
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
2020
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084
Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2020
General soliton solutions to a reverse-time nonlocal nonlinear Schrödinger equation. Zbl 1452.35198
Ye, Rusuo; Zhang, Yi
2020
Optimal control of dengue epidemic outbreaks under limited resources. Zbl 1453.92195
Sepulveda-Salcedo, Lilian Sofia; Vasilieva, Olga; Svinin, Mikhail
2020
Fronts in two-phase porous media flow problems: the effects of hysteresis and dynamic capillarity. Zbl 1454.76094
Mitra, K.; Köppl, T.; Pop, I. S.; van Duijn, C. J.; Helmig, R.
2020
Linear and nonlinear electromagnetic waves in modulated honeycomb media. Zbl 1454.35372
Hu, Pipi; Hong, Liu; Zhu, Yi
2020
Stable blow-up dynamics in the $$L^2$$-critical and $$L^2$$-supercritical generalized Hartree equation. Zbl 1455.35031
Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang
2020
Three computational approaches to weakly nonlocal Poisson brackets. Zbl 1478.37066
Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele
2020
Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painlevé II equation. Zbl 1457.34129
Kokocki, Piotr
2020
Barotropic instability of shear flows. Zbl 1445.76044
Lin, Zhiwu; Yang, Jincheng; Zhu, Hao
2020
Numerical study of the transverse stability of the Peregrine solution. Zbl 1452.65276
Klein, Christian; Stoilov, Nikola
2020
General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. Zbl 1454.37066
Li, Ming; Fu, Heming; Wu, Chengfa
2020
The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. Zbl 1452.35180
Chen, Jinbing; Zhang, Runsu
2020
A Davey-Stewartson description of two-dimensional solitons in nonlocal media. Zbl 1454.35342
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P.
2020
Bifurcations of autoresonant modes in oscillating systems with combined excitation. Zbl 1461.34058
Sultanov, Oskar A.
2020
Asymptotic solutions of inhomogeneous differential equations having a turning point. Zbl 1457.34126
Dunster, T. M.
2020
Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa-Holm equation. Zbl 1453.35005
da Silva, Priscila Leal; Freire, Igor Leite
2020
Quasi-stability and upper semicontinuity for coupled parabolic equations with memory. Zbl 1459.37065
2020
Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits. Zbl 1455.92132
Djidjou-Demasse, Ramsés; Abiodun, Gbenga J.; Adeola, Abiodun M.; Botai, Joel O.
2020
Sparse spectral and $$p$$-finite element methods for partial differential equations on disk slices and trapeziums. Zbl 1452.65376
Snowball, Ben; Olver, Sheehan
2020
Kernel density estimation with linked boundary conditions. Zbl 1453.62440
Colbrook, Matthew J.; Botev, Zdravko I.; Kuritz, Karsten; MacNamara, Shev
2020
Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis. I. Zbl 1470.34237
Andreev, Fedor V.; Kitaev, Alexander V.
2020
The short pulse equation: Bäcklund transformations and applications. Zbl 1455.35058
Mao, Hui; Liu, Q. P.
2020
Maximal amplitudes of hyperelliptic solutions of the derivative nonlinear Schrödinger equation. Zbl 1442.35431
Wright, Otis C. III
2020
Partial differential equations admitting a given nonclassical point symmetry. Zbl 1452.35011
Pucci, Edvige; Saccomandi, Giuseppe
2020
Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems. Zbl 1452.35095
Aggarwal, Aekta; Sahoo, Manas Ranjan; Sen, Abhrojyoti; Vaidya, Ganesh
2020
Zeroth-order conservation laws of two-dimensional shallow water equations with variable bottom topography. Zbl 1454.76018
Bihlo, Alexander; Popovych, Roman O.
2020
Semiclassical dynamics and coherent soliton condensates in self-focusing nonlinear media with periodic initial conditions. Zbl 1454.35332
Biondini, Gino; Oregero, Jeffrey
2020
Viscosity solutions to a Cauchy problem of a phase-field model for solid-solid phase transitions. Zbl 1454.35382
Zheng, Junzhi
2020
Uniform asymptotics and zeros of the associated Pollaczek polynomials. Zbl 1462.33003
Huang, Xiao-Min; Wong, R.
2020
Kinetic energy of the Langevin particle. Zbl 1465.82008
Escudero, Carlos
2020
Multiscale expansions avector solitons of a two-dimensional nonlocal nonlinear Schrödinger system. Zbl 1454.78038
Koutsokostas, Georgios N.; Horikis, Theodoros P.; Frantzeskakis, Dimitrios J.; Prinari, Barbara; Biondini, Gino
2020
Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313
Lou, S. Y.
2019
Stokes waves with constant vorticity: I. Numerical computation. Zbl 1420.35208
Dyachenko, Sergey A.; Hur, Vera Mikyoung
2019
Modulational instability in a full-dispersion shallow water model. Zbl 1420.35241
Hur, Vera Mikyoung; Pandey, Ashish Kumar
2019
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335
Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey
2019
Rotational waves generated by current-topography interaction. Zbl 1418.35303
Flamarion, Marcelo V.; Milewski, Paul A.; Nachbin, André
2019
Finite-size corrections at the hard edge for the Laguerre $$\beta$$ ensemble. Zbl 1452.15025
Forrester, Peter J.; Trinh, Allan K.
2019
Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves. Zbl 1418.35305
Hoefer, Mark A.; Smyth, Noel F.; Sprenger, Patrick
2019
Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321
Bridges, Thomas J.; Ratliff, Daniel J.
2019
The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025
Chen, Min; Chen, Yang; Fan, En-Gui
2019
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### Cited by 12,616 Authors

 84 Grimshaw, Roger Hamilton James 74 Ma, Wen-Xiu 73 Geng, Xianguo 68 Ablowitz, Mark Jay 51 Tian, Shoufu 50 Pelinovsky, Dmitry Efimovich 49 Ward, Michael J. 47 Fokas, Athanassios S. 45 Fan, Engui 45 Rogers, Colin 42 He, Jingsong 39 Wazwaz, Abdul-Majid Abdul-Rahman 34 Wei, Juncheng 33 Vanden-Broeck, Jean-Marc 30 Kudryashov, Nikolaĭ Alekseevich 30 Yang, Jianke 30 Zhang, Tiantian 29 Bridges, Thomas J. 29 Clarkson, Peter A. 29 Xu, Shihe 28 Akylas, T. R. 28 Milewski, Paul A. 28 Yang, Minbo 27 López, José Luis 27 Yan, Zhenya 27 Zhang, Dajun 27 Zhang, Yufeng 26 Benney, David J. 26 Biondini, Gino 26 Chen, Yong 26 Qu, Changzheng 26 Straughan, Brian 25 Calogero, Francesco A. 25 Deconinck, Bernard 25 Saffman, Philip Geoffrey 25 Schief, Wolfgang Karl 24 Gao, Yitian 24 Hall, Philip 24 Sahadevan, Ramajayam 24 Smith, Frank T. 24 Temme, Nico M. 23 Chen, Yang 23 Dutykh, Denys 23 Feng, Baofeng 23 Guo, Boling 23 Srivastava, Hari Mohan 22 Majda, Andrew J. 22 Qiao, Zhijun 22 Saut, Jean-Claude 22 Wu, Xuesong 22 Xue, Bo 21 Boyd, John Philip 21 Byrne, Helen Mary 21 Henningson, Dan S. 21 Santini, Paolo Maria 21 Shen, Shoufeng 21 Tenenblat, Keti 21 Van der Mee, Cornelis Victor Maria 21 Wan, Frederic Yui-Ming 21 Wen, Xiaoyong 20 Chen, William Yong-Chuan 20 Hur, Vera Mikyoung 20 Klein, Christian 20 Kolokolnikov, Theodore 20 Konopelchenko, Boris Georgievich 20 Miller, Peter D. 20 Moodie, T. Bryant 20 Rao, Jiguang 20 Reidys, Christian Michael 20 Verde-Star, Luis 20 Wang, Zhan 19 Biswas, Anjan 19 Camassa, Roberto 19 El, Gennady A. 19 Forrester, Peter J. 19 Grundland, Alfred Michel 19 Joshi, Nalini 19 Lou, Senyue 19 Tian, Bo 18 Cheng, Yi 18 Choi, Wooyoung 18 Grinevich, Pëtr Georgievich 18 Kaup, David J. 18 Mihalache, Dumitru 18 Tang, Chun-Lei 18 Wang, Xiubin 17 Chow, Kwok Wing 17 Cui, Shangbin 17 Dias, Frédéric 17 Guo, Zhengguang 17 Johnson, Mathew A. 17 Kalisch, Henrik 17 Li, Biao 17 Maslowe, Sherwin A. 17 Rota, Gian-Carlo 17 Sherratt, Jonathan A. 17 Stanley, Richard Peter 17 Winternitz, Pavel 17 Xia, Yonghui 17 Zakharov, Vladimir Evgen’evich ...and 12,516 more Authors
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### Cited in 739 Journals

 887 Journal of Fluid Mechanics 604 Journal of Mathematical Physics 559 Studies in Applied Mathematics 396 Physica D 346 Journal of Mathematical Analysis and Applications 258 Physics of Fluids 252 Applied Mathematics and Computation 236 Journal of Differential Equations 170 Applied Mathematics Letters 162 Communications in Nonlinear Science and Numerical Simulation 155 Discrete Mathematics 149 Wave Motion 134 Journal of Computational Physics 125 Chaos, Solitons and Fractals 125 Journal of Nonlinear Mathematical Physics 122 Communications in Mathematical Physics 119 Journal of Computational and Applied Mathematics 118 Nonlinear Dynamics 113 Journal of Combinatorial Theory. Series A 110 Advances in Mathematics 108 Computers & Mathematics with Applications 103 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 97 Advances in Applied Mathematics 89 European Journal of Mechanics. B. Fluids 83 ZAMP. Zeitschrift für angewandte Mathematik und Physik 81 Journal of Engineering Mathematics 80 Theoretical and Mathematical Physics 79 Transactions of the American Mathematical Society 77 Chaos 74 Archive for Rational Mechanics and Analysis 72 Journal of Nonlinear Science 71 Nonlinear Analysis. Real World Applications 70 Physics Letters. A 69 Nonlinearity 69 Journal of Geometry and Physics 68 Linear Algebra and its Applications 66 Applicable Analysis 65 Mathematical Methods in the Applied Sciences 60 European Journal of Combinatorics 60 Discrete and Continuous Dynamical Systems 59 Acta Mechanica 59 Computer Methods in Applied Mechanics and Engineering 57 Advances in Mathematical Physics 55 Physics of Fluids 53 Acta Applicandae Mathematicae 52 Letters in Mathematical Physics 51 Bulletin of Mathematical Biology 51 Proceedings of the American Mathematical Society 51 European Journal of Applied Mathematics 50 Communications on Pure and Applied Mathematics 50 Mathematics and Computers in Simulation 50 Advances in Difference Equations 49 SIAM Journal on Mathematical Analysis 47 Journal of Mathematical Biology 47 Physics of Fluids, A 46 Journal of Approximation Theory 44 Journal of Algebra 43 Discrete Applied Mathematics 43 Geophysical and Astrophysical Fluid Dynamics 43 Journal of Functional Analysis 43 Applied Numerical Mathematics 43 Abstract and Applied Analysis 43 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 42 Journal of Scientific Computing 42 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Communications on Pure and Applied Analysis 41 Computers and Fluids 40 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 38 Mathematical and Computer Modelling 38 Journal of Physics A: Mathematical and Theoretical 38 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 37 Mathematical Biosciences 37 Quarterly of Applied Mathematics 37 Boundary Value Problems 34 Journal of Soviet Mathematics 32 Theoretical and Computational Fluid Dynamics 32 Applied Mathematics and Mechanics. (English Edition) 32 SIAM Journal on Applied Mathematics 32 Journal of Dynamics and Differential Equations 32 Journal of Mathematical Sciences (New York) 32 Discrete and Continuous Dynamical Systems. Series S 31 Applied Mathematical Modelling 31 Mathematical Problems in Engineering 31 Discrete and Continuous Dynamical Systems. Series B 31 Nonlinear Analysis. Theory, Methods & Applications 30 Fluid Dynamics 30 Journal of Symbolic Computation 30 International Journal of Computer Mathematics 30 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 30 The Electronic Journal of Combinatorics 29 Mathematics of Computation 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Numerical Algorithms 29 Journal of Difference Equations and Applications 28 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 27 International Journal for Numerical Methods in Fluids 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 27 Journal of Algebraic Combinatorics 26 Reports on Mathematical Physics 26 Theoretical Computer Science ...and 639 more Journals
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### Cited in 63 Fields

 5,705 Partial differential equations (35-XX) 3,594 Fluid mechanics (76-XX) 2,058 Dynamical systems and ergodic theory (37-XX) 1,152 Numerical analysis (65-XX) 1,071 Ordinary differential equations (34-XX) 980 Combinatorics (05-XX) 642 Biology and other natural sciences (92-XX) 473 Mechanics of deformable solids (74-XX) 452 Quantum theory (81-XX) 424 Special functions (33-XX) 289 Geophysics (86-XX) 283 Linear and multilinear algebra; matrix theory (15-XX) 282 Difference and functional equations (39-XX) 280 Statistical mechanics, structure of matter (82-XX) 242 Operator theory (47-XX) 239 Probability theory and stochastic processes (60-XX) 239 Computer science (68-XX) 235 Mechanics of particles and systems (70-XX) 234 Differential geometry (53-XX) 225 Optics, electromagnetic theory (78-XX) 223 Number theory (11-XX) 221 Global analysis, analysis on manifolds (58-XX) 202 Systems theory; control (93-XX) 191 Algebraic geometry (14-XX) 187 Approximations and expansions (41-XX) 172 Harmonic analysis on Euclidean spaces (42-XX) 171 Classical thermodynamics, heat transfer (80-XX) 153 Order, lattices, ordered algebraic structures (06-XX) 153 Nonassociative rings and algebras (17-XX) 148 Integral equations (45-XX) 147 Associative rings and algebras (16-XX) 137 Calculus of variations and optimal control; optimization (49-XX) 129 Group theory and generalizations (20-XX) 125 Convex and discrete geometry (52-XX) 118 Commutative algebra (13-XX) 114 Functions of a complex variable (30-XX) 111 Functional analysis (46-XX) 102 Real functions (26-XX) 75 Information and communication theory, circuits (94-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Operations research, mathematical programming (90-XX) 58 Geometry (51-XX) 54 Topological groups, Lie groups (22-XX) 53 Relativity and gravitational theory (83-XX) 51 Manifolds and cell complexes (57-XX) 51 Statistics (62-XX) 47 Integral transforms, operational calculus (44-XX) 36 Category theory; homological algebra (18-XX) 33 Mathematical logic and foundations (03-XX) 33 Algebraic topology (55-XX) 30 Astronomy and astrophysics (85-XX) 27 General and overarching topics; collections (00-XX) 27 History and biography (01-XX) 25 Field theory and polynomials (12-XX) 22 Measure and integration (28-XX) 21 Potential theory (31-XX) 19 Several complex variables and analytic spaces (32-XX) 10 General topology (54-XX) 9 Sequences, series, summability (40-XX) 6 General algebraic systems (08-XX) 5 Abstract harmonic analysis (43-XX) 2 $$K$$-theory (19-XX) 2 Mathematics education (97-XX)