Studies in Applied Mathematics Short Title: Stud. Appl. Math. Publisher: Wiley (Wiley-Blackwell), Hoboken, NJ ISSN: 0022-2526; 1467-9590/e Online: https://onlinelibrary.wiley.com/loi/14679590 Predecessor: Journal of Mathematics and Physics Comments: Journal; Indexed cover-to-cover; Journal abbreviations vary in sources of the older volumes Documents Indexed: 1,888 Publications (since 1969) References Indexed: 1,617 Publications with 42,393 References. all top 5 Latest Issues 153, No. 2 (2024) 153, No. 1 (2024) 152, No. 4 (2024) 152, No. 3 (2024) 152, No. 2 (2024) 152, No. 1 (2024) 151, No. 4 (2023) 151, No. 3 (2023) 151, No. 2 (2023) 151, No. 1 (2023) 150, No. 4 (2023) 150, No. 3 (2023) 150, No. 2 (2023) 150, No. 1 (2023) 149, No. 4 (2022) 149, No. 3 (2022) 149, No. 2 (2022) 149, No. 1 (2022) 148, No. 4 (2022) 148, No. 3 (2022) 148, No. 2 (2022) 148, No. 1 (2022) 147, No. 4 (2021) 147, No. 3 (2021) 147, No. 2 (2021) 147, No. 1 (2021) 146, No. 4 (2021) 146, No. 3 (2021) 146, No. 2 (2021) 146, No. 1 (2021) 145, No. 4 (2020) 145, No. 3 (2020) 145, No. 2 (2020) 145, No. 1 (2020) 144, No. 4 (2020) 144, No. 3 (2020) 144, No. 2 (2020) 144, No. 1 (2020) 143, No. 4 (2019) 143, No. 3 (2019) 143, No. 2 (2019) 143, No. 1 (2019) 142, No. 4 (2019) 142, No. 3 (2019) 142, No. 2 (2019) 142, No. 1 (2019) 141, No. 4 (2018) 141, No. 3 (2018) 141, No. 2 (2018) 141, No. 1 (2018) 140, No. 4 (2018) 140, No. 3 (2018) 140, No. 2 (2018) 140, No. 1 (2018) 139, No. 4 (2017) 139, No. 3 (2017) 139, No. 2 (2017) 139, No. 1 (2017) 138, No. 4 (2017) 138, No. 3 (2017) 138, No. 2 (2017) 138, No. 1 (2017) 137, No. 4 (2016) 137, No. 3 (2016) 137, No. 2 (2016) 137, No. 1 (2016) 136, No. 4 (2016) 136, No. 3 (2016) 136, No. 2 (2016) 136, No. 1 (2016) 135, No. 4 (2015) 135, No. 3 (2015) 135, No. 2 (2015) 135, No. 1 (2015) 134, No. 4 (2015) 134, No. 3 (2015) 134, No. 2 (2015) 134, No. 1 (2015) 133, No. 4 (2014) 133, No. 3 (2014) 133, No. 2 (2014) 133, No. 1 (2014) 132, No. 4 (2014) 132, No. 3 (2014) 132, No. 2 (2014) 132, No. 1 (2014) 131, No. 4 (2013) 131, No. 3 (2013) 131, No. 2 (2013) 131, No. 1 (2013) 130, No. 4 (2013) 130, No. 3 (2013) 130, No. 2 (2013) 130, No. 1 (2013) 129, No. 4 (2012) 129, No. 3 (2012) 129, No. 2 (2012) 129, No. 1 (2012) 128, No. 4 (2012) 128, No. 3 (2012) ...and 221 more Volumes all top 5 Authors 46 Ablowitz, Mark Jay 40 Grimshaw, Roger Hamilton James 34 Benney, David J. 31 Wan, Frederic Yui-Ming 31 Yang, Jianke 23 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 15 Akylas, T. R. 15 Clarkson, Peter A. 14 Rosales, Rodolfo Ruben 14 Wong, Roderick Sue-Chuen 13 Maslowe, Sherwin A. 13 Schief, Wolfgang Karl 12 Biondini, Gino 12 Greenspan, Harvey P. 12 Pelinovsky, Dmitry Efimovich 11 Haberman, Richard 11 Mayil Vaganan, B. 11 Yeh, Yeong-Nan 10 Fan, Engui 10 Feng, Baofeng 10 Howard, Louis N. 10 Joshi, Nalini 10 Kaup, David J. 10 Konopelchenko, Boris Georgievich 10 Lange, Charles G. 10 Prinari, Barbara 10 Reissner, Eric 9 Błaszak, Maciej 9 He, Jingsong 9 Majda, Andrew J. 9 Swaters, Gordon E. 9 Zhang, Dajun 8 Bassom, Andrew P. 8 Bridges, Thomas J. 8 Cosgrove, Christopher M. 8 Fowler, Andrew C. 8 Howes, Frederick A. 8 Marciniak, Krzysztof 8 O’Malley, Robert E. jun. 8 Qu, Changzheng 8 Segur, Harvey 8 Trione, Susana Elena 8 Villarroel, Javier 8 Yu, Jun 7 Choi, Wooyoung 7 Deconinck, Bernard 7 Dyachenko, Sergey A. 7 Hall, Philip 7 Hoefer, Mark A. 7 Johnson, Mathew A. 7 López, José Luis 7 Pascal, Jean-Paul 7 Ranger, Keith B. 7 Sharma, Vishnu Dutt 7 Temme, Nico M. 7 Tenenblat, Keti 7 Verde-Star, Luis 7 Zhao, Yuqiu 6 An, Hongli 6 Byatt-Smith, John G. B. 6 Chen, Yang 6 Dunster, T. M. 6 El, Gennady A. 6 Galaktionov, Victor Aleksandrovich 6 Gavrilyuk, Sergey L. 6 He, Yuanping 6 Keller, Joseph Bishop 6 Klein, Christian 6 Lou, Senyue 6 Ma, Yan-Chow 6 Malomed, Boris A. 6 Newell, Alan C. 6 Ohta, Yasuhiro 6 Pelloni, Beatrice 6 Rao, Chidella Srinivasa 6 Rosenblat, S. 6 Rota, Gian-Carlo 6 Srivastava, Hari Mohan 6 Straughan, Brian 6 Turkyilmazoglu, Mustafa 6 Varley, Eric 6 Wei, Juncheng 6 Zhu, Yi 5 Beals, Richard W. 5 Caillol, Philippe 5 Chen-Charpentier, Benito Miguel 5 Cohen, Donald Sussman 5 Criminale, William O. jun. 5 Geng, Xianguo 5 Goulden, Ian P. 5 Herron, Isom H. jun. 5 Jackson, David M. ...and 1,883 more Authors all top 5 Fields 890 Partial differential equations (35-XX) 626 Fluid mechanics (76-XX) 249 Dynamical systems and ergodic theory (37-XX) 236 Ordinary differential equations (34-XX) 113 Combinatorics (05-XX) 113 Numerical analysis (65-XX) 108 Biology and other natural sciences (92-XX) 106 Special functions (33-XX) 78 Geophysics (86-XX) 73 Mechanics of deformable solids (74-XX) 60 Quantum theory (81-XX) 58 Probability theory and stochastic processes (60-XX) 55 Optics, electromagnetic theory (78-XX) 48 Statistical mechanics, structure of matter (82-XX) 43 Mechanics of particles and systems (70-XX) 37 Approximations and expansions (41-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 28 Difference and functional equations (39-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Integral equations (45-XX) 25 Number theory (11-XX) 20 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Systems theory; control (93-XX) 17 Integral transforms, operational calculus (44-XX) 17 Computer science (68-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Operations research, mathematical programming (90-XX) 15 Functions of a complex variable (30-XX) 15 Differential geometry (53-XX) 14 General and overarching topics; collections (00-XX) 14 Functional analysis (46-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Statistics (62-XX) 11 Real functions (26-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Algebraic geometry (14-XX) 10 Information and communication theory, circuits (94-XX) 9 Group theory and generalizations (20-XX) 7 Nonassociative rings and algebras (17-XX) 7 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 4 Mathematical logic and foundations (03-XX) 4 Potential theory (31-XX) 3 General algebraic systems (08-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,560 Publications have been cited 21,874 times in 16,213 Documents Cited by ▼ Year ▼ The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068 Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey 1,051 1974 Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022 Lieb, Elliott H. 708 1977 On the boundary condition at the surface of a porous medium. Zbl 0271.76080 Saffman, P. G. 377 1971 Models for the growth of a solid tumor by diffusion. Zbl 0257.92001 Greenspan, H. P. 245 1972 Integrable nonlocal nonlinear equations. Zbl 1373.35281 Ablowitz, Mark J.; Musslimani, Ziad H. 232 2017 A proposal for Toeplitz matrix calculations. Zbl 0621.65025 Strang, Gilbert 176 1986 Wave instabilities. Zbl 0216.52904 Benney, D. J.; Roskes, G. J. 169 1969 A nonlinear difference scheme and inverse scattering. Zbl 0338.35002 Ablowitz, M. J.; Ladik, J. F. 169 1976 Coalgebras and bialgebras in combinatorics. Zbl 0471.05020 Joni, S. A.; Rota, G.-C. 167 1979 The perturbed plane-wave solutions of the cubic Schrödinger equation. Zbl 0412.35028 Ma, Yan-Chow 164 1979 On the inverse scattering problem for cubic eigenvalue problems of the class \(\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi\). Zbl 0431.35073 Kaup, D. J. 160 1980 On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009 Doubilet, Peter; Rota, Gian-Carlo; Stein, Joel 150 1974 A general theory for interactions between short and long waves. Zbl 0358.76011 Benney, D. J. 149 1977 Symmetries and integrability. Zbl 0639.35075 Fokas, A. S. 148 1987 Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081 Kopell, N.; Howard, L. N. 143 1973 A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Zbl 0274.35041 Russell, David L. 135 1973 A general approach to obtain series solutions of nonlinear differential equations. Zbl 1533.34017 Liao, S.; Tan, Y. 135 2007 Numerical simulation of incompressible flows within simple boundaries. I: Galerkin (spectral) representations. Zbl 0237.76012 Orszag, Steven A. 132 1971 The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009 Stanley, Richard P. 130 1975 On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080 Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S. 124 1983 Theory and application of plane partitions. II. Zbl 0225.05012 Stanley, Richard P. 113 1971 Some properties of long nonlinear waves. Zbl 0259.35011 Benney, D. J. 108 1973 Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250 Rao, J.; Cheng, Y.; He, J. 105 2017 A new class of nonlinear waves in parallel flows. Zbl 0197.25403 Benney, D. J.; Bergeron, R. F. jun. 104 1969 The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031 Fokas, A. S.; Ablowitz, M. J. 103 1983 On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303 Goldman, Jay; Rota, Gian-Carlo 102 1970 Weak and strong interactions between internal solitary waves. Zbl 0548.76020 Gear, J. A.; Grimshaw, R. 102 1984 High-order solutions and generalized Darboux transformations of derivative nonlinear Schrödinger equations. Zbl 1303.35098 Guo, Boling; Ling, Liming; Liu, Q. P. 100 2013 The periodic cubic Schrödinger equation. Zbl 0493.35032 Ma, Yan-Chow; Ablowitz, Mark J. 95 1981 General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137 Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke 93 2011 Rational solutions of Painleve equations. Zbl 0496.58012 Airault, H. 93 1979 On one-dimensional large-displacement finite-strain beam theory. Zbl 0267.73032 Reissner, E. 91 1973 Asymptotic solutions of the Korteweg-deVries equation. Zbl 0369.35055 Ablowitz, M. J.; Segur, H. 91 1977 Higher-order Painlevé equations in the polynomial class. I: Bureau symbol P2. Zbl 1136.34350 Cosgrove, Christopher M. 90 2000 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. 88 1983 On equations which describe pseudospherical surfaces. Zbl 0696.35111 Rabelo, Mauro L. 88 1989 On the solution of a class of nonlinear partial difference equations. Zbl 0384.35018 Ablowitz, M. J.; Ladik, J. F. 88 1977 Solitary-wave interactions in elastic rods. Zbl 0606.73028 Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 85 1986 Transformations between nonlocal and local integrable equations. Zbl 1392.35297 Yang, Bo; Yang, Jianke 83 2018 Pseudospherical surfaces and evolution equations. Zbl 0605.35080 Chern, S. S.; Tenenblat, K. 83 1986 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 81 2017 Theory and application of plane partitions. I. Zbl 0225.05011 Stanley, Richard P. 81 1971 Convergence and continuous dependence for the Brinkman-Forchheimer equations. Zbl 1136.76448 Payne, L. E.; Straughan, B. 79 1999 Consistent Riccati expansion for integrable systems. Zbl 1314.35145 Lou, S. Y. 79 2015 Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059 Beals, Richard; Rabelo, Mauro; Tenenblat, Keti 77 1989 The velocity of viscous vortex rings. Zbl 0224.76032 Saffman, P. G. 77 1970 Induced surfaces and their integrable dynamics. Zbl 0869.58027 Konopelchenko, B. G. 74 1996 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. 74 1980 Solutions of nonlocal equations reduced from the AKNS hierarchy. Zbl 1398.35194 Chen, Kui; Deng, Xiao; Lou, Senyue; Zhang, Da-jun 74 2018 The modulation of an internal gravity-wave packet, and the resonance with the mean motion. Zbl 0361.76029 Grimshaw, R. H. J. 71 1977 Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066 Majda, Andrew; Rosales, Rodolfo 71 1984 Critical layers in parallel flows. Zbl 0265.76052 Haberman, Richard 69 1972 Soliton solutions of the KP equation and application to shallow water waves. Zbl 1185.35219 Chakravarty, S.; Kodama, Y. 68 2009 Perturbations of solitons and solitary waves. Zbl 0486.76029 Kodama, Yuji; Ablowitz, Mark J. 68 1981 Unsolvability in \(3 \times 3\) matrices. Zbl 0186.01103 Paterson, Michael S. 65 1970 A frequency selection criterion in spatially developing flows. Zbl 0716.76041 Chomaz, Jean-Marc; Huerre, Patrick; Redekopp, Larry G. 65 1991 Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013 Chen, B.; Saffman, P. G. 64 1979 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. 63 2020 Continuous dependence on the heat source in resonant porous penetrative convection. Zbl 1250.80001 Straughan, B. 63 2011 Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Zbl 0838.76026 Waleffe, Fabian 63 1995 Steady deep-water waves on a linear shear current. Zbl 0572.76022 Simmen, J. A.; Saffman, P. G. 63 1985 On the inviscid theory of rotating fluids. Zbl 0181.54303 Greenspan, H. P. 62 1969 On the integrability of a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1288.35403 Tian, Shou-Fu; Zhang, Hong-Qing 61 2014 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. 61 2013 Dynamics of perturbed wavetrain solutions to the Ginzburg-Landau equation. Zbl 0575.76055 Keefe, Laurence R. 61 1985 On a vector long wave-short wave-type model. Zbl 1454.35314 Li, Ruomeng; Geng, Xianguo 59 2020 On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024 Crapo, Henry H.; Rota, Gian-Carlo 59 1970 Fourier analysis of the finite element method in Ritz-Galerkin theory. Zbl 0179.22501 Fix, G.; Strang, G. 59 1969 Painlevé classification of a class of differential equations of the second order and second degree. Zbl 0774.34005 Cosgrove, Christopher M.; Scoufis, George 59 1993 Asymptotic representation of solutions of perturbed systems of linear difference equations. Zbl 0628.39002 Benzaid, Z.; Lutz, D. A. 59 1987 Reverse space-time nonlocal sine-Gordon/sinh-Gordon equations with nonzero boundary conditions. Zbl 1420.35304 Ablowitz, Mark J.; Feng, Bao-Feng; Luo, Xu-Dan; Musslimani, Ziad H. 56 2018 The existence and stability of asymmetric spike patterns for the Schnakenberg model. Zbl 1152.35397 Ward, Michael J.; Wei, Juncheng 56 2002 Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. Zbl 0572.76102 Grimshaw, R. 56 1985 Decomposition of the discrete Ablowitz-Ladik hierarchy. Zbl 1533.37153 Geng, Xianguo; Dai, H. H.; Zhu, Junyi 56 2007 Asymptotics beyond all orders in a model of crystal growth. Zbl 0732.34047 Kruskal, Martin D.; Segur, Harvey 54 1991 On the existence and formulation of variational principles for nonlinear differential equations. Zbl 0322.49019 Atherton, R. W.; Homsy, G. M. 54 1975 Accelerated imaginary-time evolution methods for the computation of solitary waves. Zbl 1191.35227 Yang, Jianke; Lakoba, Taras I. 54 2008 Exactly solvable model for nonlinear pulse propagation in optical fibers. Zbl 1171.35473 Lenells, Jonatan 53 2009 The evolution of multi-phase modes for nonlinear dispersive waves. Zbl 0203.41001 Ablowitz, M. J.; Benney, D. J. 51 1970 Comparison of pseudospectral and spectral approximation. Zbl 0282.65083 Orszag, Steven A. 51 1972 Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001 Foata, Dominique; Zeilberger, Doron 51 1990 On solutions to a two-component generalized Camassa-Holm equation. Zbl 1189.35255 Guo, Zhengguang; Zhou, Yong 51 2010 Modulational instability in the Whitham equation for water waves. Zbl 1309.35079 Hur, Vera Mikyoung; Johnson, Mathew A. 49 2015 Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070 Howard, L. N.; Kopell, N. 49 1977 Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations. Zbl 1533.37148 Yang, Jianke; Lakoba, Taras I. 49 2007 The complete solution of the long-wave-short-wave resonance equations. Zbl 0399.76028 Ma, Yan-Chow 49 1978 Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011 Chen, B.; Saffman, P. G. 49 1980 Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084 Hunter, J. K.; Majda, A.; Rosales, R. 48 1986 Group classification and generalized conditional symmetry reduction of the nonlinear diffusion-convection equation with a nonlinear source. Zbl 0879.35031 Qu, Changzheng 48 1997 Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008 Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A. 48 1995 Series solutions of unsteady boundary-layer flows over a stretching flat plate. Zbl 1145.76352 Liao, Shijun 48 2006 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. 47 2002 Random wave closures. Zbl 0185.55404 Benney, D. J.; Newell, A. C. 47 1969 Linear quaternion differential equations: basic theory and fundamental results. Zbl 1406.34036 Kou, Kit Ian; Xia, Yong-Hui 47 2018 \(P_ 4\)-reducible graphs - a class of uniquely tree-representable graphs. Zbl 0699.05054 Jamison, B.; Olariu, S. 46 1989 On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy. Zbl 0274.05008 Doubilet, Peter 46 1972 Solutions to ABS lattice equations via generalized Cauchy matrix approach. Zbl 1338.37113 Zhang, D.-J.; Zhao, S.-L. 46 2013 Activators and inhibitors in pattern formation. Zbl 0407.92023 Keener, James P. 46 1978 Darboux transformations and global explicit solutions for nonlocal Davey-Stewartson I equation. Zbl 1401.35262 Zhou, Zi-Xiang 46 2018 Chazy classes IX–XI of third-order differential equations. Zbl 1136.34351 Cosgrove, Christopher M. 45 2000 Two-dimensional Riemann problem of the Euler equations to the Van der Waals gas around a sharp corner. Zbl 07867795 Li, Shuangrong; Sheng, Wancheng 2 2024 Resurgent aspects of applied exponential asymptotics. Zbl 07867806 Crew, Samuel; Trinh, Philippe H. 2 2024 Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation. Zbl 07836556 Chen, Jinbing; Pelinovsky, Dmitry E. 2 2024 Existence of global solutions to the nonlocal Schrödinger equation on the line. Zbl 1539.35249 Zhao, Yi; Fan, Engui 2 2024 Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials. Zbl 07836567 Clarkson, Peter A.; Dunning, Clare 2 2024 On the dynamics of an epidemic patch model with mass-action transmission mechanism and asymmetric dispersal patterns. Zbl 07883987 Salako, Rachidi B.; Wu, Yixiang 1 2024 Bifurcations and global dynamics of a predator-prey Mite model of Leslie type. Zbl 07883988 Yang, Yue; Xu, Yancong; Rong, Libin; Ruan, Shigui 1 2024 The Airy equation with nonlocal conditions. Zbl 07867789 Normatov, B.; Smith, D. A. 1 2024 A mean-field approach for the asymptotic tracking problem of moving continuum target clouds. Zbl 07867790 Ahn, Hyunjin; Ha, Seung-Yeal 1 2024 Whitham modulation theory for the Zakharov-Kuznetsov equation and stability analysis of its periodic traveling wave solutions. Zbl 07867791 Biondini, Gino; Chernyavsky, Alexander 1 2024 KP reductions and various soliton solutions to the Fokas-Lenells equation under nonzero boundary condition. Zbl 07867796 Zhang, Yujuan; Ma, Ruyun; Feng, Bao-Feng 1 2024 Landscape of wave focusing and localization at low frequencies. Zbl 07867797 Davies, Bryn; Lou, Yiqi 1 2024 Rigorous estimates on mechanical balance laws in the Boussinesq-Peregrine equations. Zbl 07867802 Khorbatly, Bashar; Kalisch, Henrik 1 2024 Long-time asymptotics and the radiation condition with time-periodic boundary conditions for linear evolution equations on the half-line and experiment. Zbl 07867805 Mao, Yifeng; Mantzavinos, Dionyssios; Hoefer, Mark A. 1 2024 Stationary coupled KdV systems and their Stäckel representations. Zbl 07899501 Szablikowski, Błażej M.; Błaszak, Maciej; Marciniak, Krzysztof 1 2024 On blowups of vorticity for the homogeneous Euler equation. Zbl 07836553 Konopelchenko, B. G.; Ortenzi, G. 1 2024 A Riemann-Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals. Zbl 1537.65016 Ballew, Cade; Trogdon, Thomas 1 2024 Miura transformation for the “good” Boussinesq equation. Zbl 1537.35016 Charlier, C.; Lenells, J. 1 2024 Geometrical correspondence of the Miura transformation induced from affine Kac-Moody algebras. Zbl 07836559 Qu, Changzheng; Wu, Zhiwei 1 2024 Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single-boundary condition case. Zbl 1539.35225 Alkın, Aykut; Mantzavinos, Dionyssios; Özsarı, Türker 1 2024 Exploring the interplay between memory effects and vesicle dynamics: a five-dimensional analysis using rigid sphere models and mapping techniques. Zbl 1536.92037 Azroul, E.; Diki, G.; Guedda, M. 1 2024 On an SIS epidemic model with power-like nonlinear incidence and with/without cross-diffusion. Zbl 07899489 Li, Huicong; Xiang, Tian 1 2024 An SIS epidemic model with mass action infection mechanism in a patchy environment. Zbl 1530.92243 Li, Huicong; Peng, Rui 7 2023 Hölder stability and uniqueness for the mean field games system via Carleman estimates. Zbl 1536.35331 Klibanov, Michael V.; Li, Jingzhi; Liu, Hongyu 6 2023 Boundary behavior of the solution to the linear Korteweg-de Vries equation on the half line. Zbl 1532.35404 Chatziafratis, Andreas; Kamvissis, Spyridon; Stratis, Ioannis G. 6 2023 Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation. Zbl 07801257 Deng, Guo; Lustri, Christopher J. 5 2023 The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation. Zbl 1529.35441 Ling, Liming; Sun, Xuan 5 2023 On the almost-circular symplectic induced Ginibre ensemble. Zbl 07778764 Byun, Sung-Soo; Charlier, Christophe 5 2023 Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation. Zbl 1539.74152 Li, Hongjie; Liu, Hongyu; Zou, Jun 5 2023 Depleting the signal: analysis of chemotaxis-consumption models – a survey. Zbl 1536.92017 Lankeit, Johannes; Winkler, Michael 4 2023 Properties of given and detected unbounded solutions to a class of chemotaxis models. Zbl 1537.35344 Columbu, Alessandro; Frassu, Silvia; Viglialoro, Giuseppe 4 2023 Solutions and continuum limits to nonlocal discrete sine-Gordon equations: bilinearization reduction method. Zbl 1529.39020 Xiang, Xiao-bo; Zhao, Song-lin; Shi, Ying 3 2023 Tau-function formulation for bright, dark soliton and breather solutions to the massive Thirring model. Zbl 1533.37138 Chen, Junchao; Feng, Bao-Feng 3 2023 Three-dimensional lattice ground states for Riesz and Lennard-Jones-type energies. Zbl 07778760 Bétermin, Laurent; Šamaj, Ladislav; Travěnec, Igor 3 2023 Superharmonic instability of Stokes waves. Zbl 07778762 Korotkevich, A. O.; Lushnikov, P. M.; Semenova, A.; Dyachenko, S. A. 3 2023 The 2D magnetohydrodynamic system with Euler-like velocity equation and partial magnetic diffusion. Zbl 1529.35351 Chen, Tiantian; Lin, Hongxia; Wu, Jiahong 3 2023 Rogue wave patterns associated with Okamoto polynomial hierarchies. Zbl 1529.35136 Yang, Bo; Yang, Jianke 3 2023 On the Whitham system for the (2+1)-dimensional nonlinear Schrödinger equation. Zbl 1533.35303 Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor 3 2023 Asymptotic behavior of the porous elastic system with dual phase lag model: classical versus second spectrum perspectives. Zbl 1527.35085 Zougheib, Hamza; El Arwadi, Toufic; Soufyane, Abdelaziz 3 2023 Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics. Zbl 1528.35144 Ablowitz, Mark J.; Cole, Justin T.; El, Gennady A.; Hoefer, Mark A.; Luo, Xu-Dan 3 2023 Vector breathers in the Manakov system. Zbl 1529.35130 Gelash, Andrey; Raskovalov, Anton 2 2023 Dependence of eigenvalues of Dirac system on the parameters. Zbl 1529.34076 Li, Kun; Zhang, Maozhu; Zheng, Zhaowen 2 2023 Orthogonal polynomials on a class of planar algebraic curves. Zbl 1532.65018 Fasondini, Marco; Olver, Sheehan; Xu, Yuan 2 2023 On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential. Zbl 1529.35462 Carles, Rémi; Il’yasov, Yavdat 2 2023 Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves. Zbl 1529.45008 Ma, Manjun; Meng, Wentao; Ou, Chunhua 2 2023 Random dynamics and limiting behaviors for 3D globally modified Navier-Stokes equations driven by colored noise. Zbl 1533.37157 Caraballo, Tomás; Chen, Zhang; Yang, Dandan 2 2023 Traveling waves in a coarse-grained model of volume-filling cell invasion: simulations and comparisons. Zbl 1533.92064 Crossley, Rebecca M.; Maini, Philip K.; Lorenzi, Tommaso; Baker, Ruth E. 2 2023 Transmission properties of space-time modulated metamaterials. Zbl 1532.35042 Ammari, Habib; Cao, Jinghao; Zeng, Xinmeng 2 2023 Polynomial ergodicity of an SIRS epidemic model with density-dependent demographics. Zbl 1533.92213 Lan, Guijie; Yuan, Sanling 2 2023 Multiple orthogonal polynomials associated with the exponential integral. Zbl 1533.33020 Van Assche, Walter; Wolfs, Thomas 2 2023 The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I: Large-time asymptotics. 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Zbl 1529.35133 Rao, Jiguang; Malomed, Boris A.; Mihalache, Dumitru; He, Jingsong 4 2022 ...and 1460 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,945 Authors 108 Geng, Xianguo 106 Ma, Wen-Xiu 100 Grimshaw, Roger Hamilton James 96 Tian, Shoufu 91 Ablowitz, Mark Jay 78 He, Jingsong 67 Pelinovsky, Dmitry Efimovich 62 Fan, Engui 58 Fokas, Athanassios S. 55 Zhang, Dajun 53 Tian, Bo 50 Chen, Yong 50 Ward, Michael J. 49 Yan, Zhenya 49 Zhang, Tiantian 48 Rogers, Colin 48 Yang, Jianke 47 Chen, Yang 45 Malomed, Boris A. 43 Kudryashov, Nikolaĭ Alekseevich 40 Clarkson, Peter A. 39 Gao, Yitian 39 Wei, Juncheng 38 Qu, Changzheng 37 Zhang, Yufeng 36 Biondini, Gino 36 Feng, Baofeng 36 Lou, Senyue 36 Vanden-Broeck, Jean-Marc 36 Wang, Xiubin 35 Yang, Minbo 34 Milewski, Paul A. 32 Bridges, Thomas J. 32 Shen, Shoufeng 32 Wen, Xiaoyong 31 Akylas, T. R. 31 Kaup, David J. 31 Xu, Shihe 30 Qiao, Zhijun 29 Cheng, Yi 29 Deconinck, Bernard 29 Klein, Christian 29 Mihalache, Dumitru 29 Pelinovsky, Efim 29 Santini, Paolo Maria 29 Straughan, Brian 29 Wan, Frederic Yui-Ming 28 Kevrekidis, Panayotis G. 28 Konopelchenko, Boris Georgievich 28 Li, Biao 28 López, José Luis 28 Rao, Jiguang 28 Wazwaz, Abdul-Majid Abdul-Rahman 27 Benney, David J. 27 Calogero, Francesco A. 27 El, Gennady A. 27 Guo, Boling 27 Joshi, Nalini 27 Saut, Jean-Claude 27 Schief, Wolfgang Karl 27 Zhang, Yi 26 Liao, Shijun 26 Ling, Liming 26 Pickering, Andrew 26 Sahadevan, Ramajayam 26 Xue, Bo 25 Byrne, Helen Mary 25 Grundland, Alfred Michel 25 Mañas, Manuel 25 Miller, Peter D. 25 Saffman, Philip Geoffrey 25 Temme, Nico M. 25 Winternitz, Pavel 25 Wu, Xuesong 24 Boyd, John Philip 24 Dutykh, Denys 24 Forrester, Peter J. 24 Gordoa, Pilar Ruiz 24 Hall, Philip 24 Smith, Frank T. 24 Tang, Xianhua 24 Van der Mee, Cornelis Victor Maria 23 Prinari, Barbara 23 Srivastava, Hari Mohan 23 Stepanyants, Yury A. 23 van Gorder, Robert Ashton 23 Wang, Zhan 23 Xia, Yonghui 23 Zakharov, Vladimir Evgen’evich 23 Zhao, Songlin 22 Chen, Junchao 22 Hur, Vera Mikyoung 22 Johnson, Mathew A. 22 Li, Chuanzhong 22 Majda, Andrew J. 22 Nijhoff, Frank W. 22 Tang, Chun-Lei 22 Tenenblat, Keti 22 Xu, Shuaixia 22 Zhao, Yuqiu ...and 15,845 more Authors all top 5 Cited in 814 Journals 948 Journal of Fluid Mechanics 815 Studies in Applied Mathematics 655 Journal of Mathematical Physics 637 Physica D 399 Journal of Mathematical Analysis and Applications 316 Physics Letters. 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Theory, Methods & Applications 32 Fluid Dynamics ...and 714 more Journals all top 5 Cited in 63 Fields 8,048 Partial differential equations (35-XX) 4,314 Fluid mechanics (76-XX) 3,067 Dynamical systems and ergodic theory (37-XX) 1,541 Numerical analysis (65-XX) 1,498 Ordinary differential equations (34-XX) 1,089 Combinatorics (05-XX) 912 Biology and other natural sciences (92-XX) 671 Quantum theory (81-XX) 590 Special functions (33-XX) 583 Mechanics of deformable solids (74-XX) 418 Statistical mechanics, structure of matter (82-XX) 415 Difference and functional equations (39-XX) 376 Geophysics (86-XX) 371 Optics, electromagnetic theory (78-XX) 368 Linear and multilinear algebra; matrix theory (15-XX) 339 Probability theory and stochastic processes (60-XX) 326 Computer science (68-XX) 308 Operator theory (47-XX) 290 Differential geometry (53-XX) 287 Mechanics of particles and systems (70-XX) 280 Global analysis, analysis on manifolds (58-XX) 267 Number theory (11-XX) 259 Systems theory; control (93-XX) 253 Approximations and expansions (41-XX) 233 Algebraic geometry (14-XX) 231 Harmonic analysis on Euclidean spaces (42-XX) 209 Classical thermodynamics, heat transfer (80-XX) 200 Integral equations (45-XX) 197 Nonassociative rings and algebras (17-XX) 177 Calculus of variations and optimal control; optimization (49-XX) 174 Associative rings and algebras (16-XX) 160 Order, lattices, ordered algebraic structures (06-XX) 158 Convex and discrete geometry (52-XX) 157 Functions of a complex variable (30-XX) 156 Real functions (26-XX) 147 Group theory and generalizations (20-XX) 135 Commutative algebra (13-XX) 135 Functional analysis (46-XX) 97 Information and communication theory, circuits (94-XX) 80 Operations research, mathematical programming (90-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Relativity and gravitational theory (83-XX) 71 Statistics (62-XX) 69 Topological groups, Lie groups (22-XX) 65 Manifolds and cell complexes (57-XX) 64 Geometry (51-XX) 62 Integral transforms, operational calculus (44-XX) 41 Category theory; homological algebra (18-XX) 40 Algebraic topology (55-XX) 39 Mathematical logic and foundations (03-XX) 39 Astronomy and astrophysics (85-XX) 38 General and overarching topics; collections (00-XX) 34 History and biography (01-XX) 33 Field theory and polynomials (12-XX) 31 Potential theory (31-XX) 29 Measure and integration (28-XX) 27 Several complex variables and analytic spaces (32-XX) 15 Sequences, series, summability (40-XX) 10 General topology (54-XX) 9 General algebraic systems (08-XX) 8 Abstract harmonic analysis (43-XX) 3 Mathematics education (97-XX) 2 \(K\)-theory (19-XX) Citations by Year