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: 1,570 Publications (since 1969) References Indexed: 1,158 Publications with 23,347 References. all top 5 Latest Issues 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) 128, No. 2 (2012) 128, No. 1 (2012) 127, No. 4 (2011) 127, No. 3 (2011) 127, No. 2 (2011) 127, No. 1 (2011) 126, No. 4 (2011) 126, No. 3 (2011) 126, No. 2 (2011) 126, No. 1 (2011) 125, No. 4 (2010) 125, No. 3 (2010) 125, No. 2 (2010) 125, No. 1 (2010) 124, No. 4 (2010) 124, No. 3 (2010) 124, No. 2 (2010) 124, No. 1 (2010) 123, No. 4 (2009) 123, No. 3 (2009) 123, No. 2 (2009) 123, No. 1 (2009) 122, No. 4 (2009) 122, No. 3 (2009) 122, No. 2 (2009) ...and 188 more Volumes all top 5 Authors 43 Ablowitz, Mark Jay 39 Grimshaw, Roger Hamilton James 34 Benney, David J. 28 Yang, Jianke 23 Wan, Frederic Yui-Ming 22 Moodie, T. Bryant 20 Kleitman, Daniel J. 19 Fokas, Athanassios S. 19 Saffman, Philip Geoffrey 18 Milewski, Paul A. 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 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 Joshi, Nalini 8 O’Malley, Robert E. jun. 8 Prinari, Barbara 8 Swaters, Gordon E. 8 Trione, Susana Elena 8 Villarroel, Javier 7 Choi, Wooyoung 7 Hall, Philip 7 Ranger, Keith B. 7 Segur, Harvey 7 Sharma, Vishnu D. 7 Tenenblat, Keti 7 Verde-Star, Luis 6 Byatt-Smith, John G. B. 6 Fan, Engui 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 Deconinck, Bernard 5 Dunster, T. M. 5 Feng, Baofeng 5 Goulden, Ian P. 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 Zhao, Yuqiu 4 Akers, Benjamin F. 4 Amundsen, David E. 4 Barouch, Eytan 4 Błaszak, Maciej 4 Boyd, John Philip 4 Chen, Yang 4 Cheng, Hung 4 El, Gennady A. 4 Forrester, Peter J. ...and 1,389 more Authors all top 5 Fields 691 Partial differential equations (35-XX) 557 Fluid mechanics (76-XX) 198 Ordinary differential equations (34-XX) 193 Dynamical systems and ergodic theory (37-XX) 112 Combinatorics (05-XX) 94 Numerical analysis (65-XX) 83 Special functions (33-XX) 67 Geophysics (86-XX) 59 Mechanics of deformable solids (74-XX) 51 Biology and other natural sciences (92-XX) 42 Probability theory and stochastic processes (60-XX) 42 Optics, electromagnetic theory (78-XX) 41 Quantum theory (81-XX) 35 Mechanics of particles and systems (70-XX) 35 Statistical mechanics, structure of matter (82-XX) 28 Approximations and expansions (41-XX) 23 Number theory (11-XX) 23 Classical thermodynamics, heat transfer (80-XX) 21 Integral equations (45-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Difference and functional equations (39-XX) 16 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 15 Integral transforms, operational calculus (44-XX) 15 Operator theory (47-XX) 15 Differential geometry (53-XX) 14 Systems theory; control (93-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 General and overarching topics; collections (00-XX) 12 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 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Algebraic geometry (14-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 6 Nonassociative rings and algebras (17-XX) 6 Information and communication theory, circuits (94-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 4 History and biography (01-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 Associative rings and algebras (16-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,252 Publications have been cited 14,208 times in 10,927 Documents Cited by ▼ Year ▼ The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey 636 1974 Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022Lieb, Elliott H. 364 1977 On the boundary condition at the surface of a porous medium. Zbl 0271.76080Saffman, P. G. 276 1971 Models for the growth of a solid tumor by diffusion. Zbl 0257.92001Greenspan, H. P. 186 1972 A proposal for Toeplitz matrix calculations. Zbl 0621.65025Strang, Gilbert 138 1986 On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009Doubilet, Peter; Rota, Gian-Carlo; Stein, Joel 134 1974 Coalgebras and bialgebras in combinatorics. Zbl 0471.05020Joni, S. A.; Rota, G.-C. 131 1979 Wave instabilities. Zbl 0216.52904Benney, D. J.; Roskes, G. J. 119 1969 Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081Kopell, N.; Howard, L. N. 117 1973 A general theory for interactions between short and long waves. Zbl 0358.76011Benney, D. J. 109 1977 The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009Stanley, Richard P. 109 1975 A nonlinear difference scheme and inverse scattering. Zbl 0338.35002Ablowitz, M. J.; Ladik, J. F. 106 1976 A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Zbl 0274.35041Russell, David L. 104 1973 Numerical simulation of incompressible flows within simple boundaries. I: Galerkin (spectral) representations. Zbl 0237.76012Orszag, Steven A. 100 1971 On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303Goldman, Jay; Rota, Gian-Carlo 97 1970 On the inverse scattering problem for cubic eigenvalue problems of the class \(\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi\). Zbl 0431.35073Kaup, D. J. 96 1980 Symmetries and integrability. Zbl 0639.35075Fokas, A. S. 95 1987 Theory and application of plane partitions. II. Zbl 0225.05012Stanley, Richard P. 94 1971 A new class of nonlinear waves in parallel flows. Zbl 0197.25403Benney, D. J.; Bergeron, R. F. jun. 93 1969 Integrable nonlocal nonlinear equations. Zbl 1373.35281Ablowitz, Mark J.; Musslimani, Ziad H. 87 2017 Some properties of long nonlinear waves. Zbl 0259.35011Benney, D. J. 84 1973 The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031Fokas, A. S.; Ablowitz, M. J. 75 1983 The perturbed plane-wave solutions of the cubic Schrödinger equation. Zbl 0412.35028Ma, Yan-Chow 73 1979 On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S. 73 1983 Weak and strong interactions between internal solitary waves. Zbl 0548.76020Gear, J. A.; Grimshaw, R. 73 1984 The velocity of viscous vortex rings. Zbl 0224.76032Saffman, P. G. 72 1970 On one-dimensional large-displacement finite-strain beam theory. Zbl 0267.73032Reissner, E. 72 1973 Theory and application of plane partitions. I. Zbl 0225.05011Stanley, Richard P. 71 1971 Asymptotic solutions of the Korteweg-deVries equation. Zbl 0369.35055Ablowitz, M. J.; Segur, H. 67 1977 Critical layers in parallel flows. Zbl 0265.76052Haberman, Richard 64 1972 Higher-order Painlevé equations in the polynomial class. I: Bureau symbol P2. Zbl 1136.34350Cosgrove, Christopher M. 64 2000 Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023Chen, B.; Saffman, P. G. 63 1980 Pseudospherical surfaces and evolution equations. Zbl 0605.35080Chern, S. S.; Tenenblat, K. 63 1986 Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066Majda, Andrew; Rosales, Rodolfo 62 1984 Rational solutions of Painleve equations. Zbl 0496.58012Airault, H. 62 1979 A frequency selection criterion in spatially developing flows. Zbl 0716.76041Chomaz, Jean-Marc; Huerre, Patrick; Redekopp, Larry G. 61 1991 Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013Chen, B.; Saffman, P. G. 60 1979 The periodic cubic Schrödinger equation. Zbl 0493.35032Ma, Yan-Chow; Ablowitz, Mark J. 60 1981 The modulation of an internal gravity-wave packet, and the resonance with the mean motion. Zbl 0361.76029Grimshaw, R. H. J. 57 1977 Solitary-wave interactions in elastic rods. Zbl 0606.73028Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 57 1986 Fourier analysis of the finite element method in Ritz-Galerkin theory. Zbl 0179.22501Fix, G.; Strang, G. 56 1969 Convergence and continuous dependence for the Brinkman-Forchheimer equations. Zbl 1136.76448Payne, L. E.; Straughan, B. 55 1999 Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Zbl 0838.76026Waleffe, Fabian 55 1995 On the inviscid theory of rotating fluids. Zbl 0181.54303Greenspan, H. P. 54 1969 Induced surfaces and their integrable dynamics. Zbl 0869.58027Konopelchenko, B. G. 54 1996 Asymptotic representation of solutions of perturbed systems of linear difference equations. Zbl 0628.39002Benzaid, Z.; Lutz, D. A. 53 1987 On equations which describe pseudospherical surfaces. Zbl 0696.35111Rabelo, Mauro L. 52 1989 On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079Fokas, A. S.; Ablowitz, M. J. 52 1983 On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024Crapo, Henry H.; Rota, Gian-Carlo 51 1970 Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059Beals, Richard; Rabelo, Mauro; Tenenblat, Keti 51 1989 Dynamics of perturbed wavetrain solutions to the Ginzburg-Landau equation. Zbl 0575.76055Keefe, Laurence R. 49 1985 On the solution of a class of nonlinear partial difference equations. Zbl 0384.35018Ablowitz, M. J.; Ladik, J. F. 49 1977 Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011Chen, B.; Saffman, P. G. 48 1980 On solutions to a two-component generalized Camassa-Holm equation. Zbl 1189.35255Guo, Zhengguang; Zhou, Yong 48 2010 Unsolvability in \(3 \times 3\) matrices. Zbl 0186.01103Paterson, Michael S. 48 1970 Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250Rao, J.; Cheng, Y.; He, J. 47 2017 The evolution of multi-phase modes for nonlinear dispersive waves. Zbl 0203.41001Ablowitz, M. J.; Benney, D. J. 46 1970 Perturbations of solitons and solitary waves. Zbl 0486.76029Kodama, Yuji; Ablowitz, Mark J. 46 1981 Steady deep-water waves on a linear shear current. Zbl 0572.76022Simmen, J. A.; Saffman, P. G. 45 1985 Asymptotics beyond all orders in a model of crystal growth. Zbl 0732.34047Kruskal, Martin D.; Segur, Harvey 44 1991 Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. Zbl 0572.76102Grimshaw, R. 44 1985 On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy. Zbl 0274.05008Doubilet, Peter 43 1972 Soliton solutions of the KP equation and application to shallow water waves. Zbl 1185.35219Chakravarty, S.; Kodama, Y. 43 2009 The complete solution of the long-wave-short-wave resonance equations. Zbl 0399.76028Ma, Yan-Chow 42 1978 Activators and inhibitors in pattern formation. Zbl 0407.92023Keener, James P. 42 1978 Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084Hunter, J. K.; Majda, A.; Rosales, R. 42 1986 Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001Foata, Dominique; Zeilberger, Doron 41 1990 Marginal separation. Zbl 0514.76039Stewartson, Keith; Smith, F. T.; Kaups, Kalle 41 1982 High-order solutions and generalized Darboux transformations of derivative nonlinear Schrödinger equations. Zbl 1303.35098Guo, Boling; Ling, Liming; Liu, Q. P. 41 2013 Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070Howard, L. N.; Kopell, N. 40 1977 Painlevé classification of a class of differential equations of the second order and second degree. Zbl 0774.34005Cosgrove, Christopher M.; Scoufis, George 39 1993 Averaged equations for two-phase flows. Zbl 0225.76051Drew, Donald A.; Segel, Lee A. 39 1971 Boundary layer problems exhibiting resonance. Zbl 0198.12901Ackerberg, R. C.; O’Malley, Robert E. jun. 39 1970 Group classification and generalized conditional symmetry reduction of the nonlinear diffusion-convection equation with a nonlinear source. Zbl 0879.35031Qu, Changzheng 39 1997 Series solutions of unsteady boundary-layer flows over a stretching flat plate. Zbl 1145.76352Liao, Shijun 39 2006 \(P_ 4\)-reducible graphs - a class of uniquely tree-representable graphs. Zbl 0699.05054Jamison, B.; Olariu, S. 39 1989 Consistent Riccati expansion for integrable systems. Zbl 1314.35145Lou, S. Y. 39 2015 Contour enhancement, short term memory, and constancies in reverberating neural networks. Zbl 0281.92005Grossberg, Stephen 38 1973 The existence and stability of asymmetric spike patterns for the Schnakenberg model. Zbl 1152.35397Ward, Michael J.; Wei, Juncheng 38 2002 On the existence and formulation of variational principles for nonlinear differential equations. Zbl 0322.49019Atherton, R. W.; Homsy, G. M. 38 1975 The evolution in space and time of nonlinear waves in parallel shear flows. Zbl 0332.76028Benney, D. J.; Maslowe, S. A. 38 1975 Continuous dependence on the heat source in resonant porous penetrative convection. Zbl 1250.80001Straughan, B. 38 2011 A new mechanism for linear and nonlinear hydrodynamic instability. Zbl 0481.76048Benney, D. J.; Gustavsson, L. Hakan 37 1981 General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke 36 2011 On the spectrum and decay of random two-dimensional vorticity distributions at large Reynolds number. Zbl 0237.76029Saffman, P. G. 35 1971 Comparison of pseudospectral and spectral approximation. Zbl 0282.65083Orszag, Steven A. 35 1972 The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: The low feed-rate regime. Zbl 1145.65328Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng 35 2005 On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395Joshi, Nalini; Kitaev, A. V. 35 2001 Stability, steady-state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey-taxis. Zbl 1373.35324Song, Yongli; Tang, Xiaosong 35 2017 The evolution of a nonlinear critical level. Zbl 0415.76020Warn, T.; Warn, H. 35 1978 A multidimensional inverse-scattering method. Zbl 0557.35032Nachman, Adrian I.; Ablowitz, Mark J. 35 1984 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C. -K. 34 2002 Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135Fokas, A. S.; Ablowitz, M. J. 34 1989 On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002Andrews, George E. 33 1971 On the settling speed of free and fixed suspensions. Zbl 0264.76077Saffman, P. G. 33 1973 Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A. 33 1995 An affine representation for transversal geometries. Zbl 0309.05018Brylawski, Thomas H. 33 1975 Evolution equations for long, nonlinear internal waves in stratified shear flows. Zbl 0492.76035Grimshaw, R. 33 1981 The inverse scattering transform for the defocusing nonlinear Schrödinger equations with nonzero boundary conditions. Zbl 1311.35277Demontis, F.; Prinari, B.; van der Mee, C.; Vitale, F. 33 2013 Multivariate compactly supported fundamental refinable functions, duals, and biorthogonal wavelets. Zbl 1005.42019Ji, Hui; Riemenschneider, Sherman D.; Shen, Zuowei 32 1999 Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems. Zbl 07363271Lyu, Shulin; Chen, Yang 1 2021 The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. I. Permanent form traveling waves. Zbl 1467.35088Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra 1 2021 The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. II. Evolution of traveling waves. Zbl 1467.35089Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra 1 2021 Exact analytical solution of a novel modified nonlinear Schrödinger equation: solitary quantum waves on a lattice. Zbl 1466.81013Luo, Jingxi 1 2021 A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes. Zbl 1467.92195Escobar-Lasso, Oscar Eduardo; Vasilieva, Olga 1 2021 Coefficients of Wronskian Hermite polynomials. Zbl 1442.05016Bonneux, Niels; Dunning, Clare; Stevens, Marco 6 2020 Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert 6 2020 Multi-breather and high-order rogue waves for the nonlinear Schrödinger equation on the elliptic function background. Zbl 1454.35338Feng, Bao-Feng; Ling, Liming; Takahashi, Daisuke A. 4 2020 On a vector long wave-short wave-type model. Zbl 1454.35314Li, Ruomeng; Geng, Xianguo 4 2020 Real Lax spectrum implies spectral stability. Zbl 1457.37094Upsal, Jeremy; Deconinck, Bernard 3 2020 Sparse spectral and \(p\)-finite element methods for partial differential equations on disk slices and trapeziums. Zbl 1452.65376Snowball, Ben; Olver, Sheehan 2 2020 The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. Zbl 1452.35180Chen, Jinbing; Zhang, Runsu 2 2020 Linear and nonlinear electromagnetic waves in modulated honeycomb media. Zbl 1454.35372Hu, Pipi; Hong, Liu; Zhu, Yi 2 2020 Optimal control of dengue epidemic outbreaks under limited resources. Zbl 1453.92195Sepulveda-Salcedo, Lilian Sofia; Vasilieva, Olga; Svinin, Mikhail 2 2020 Bifurcations of autoresonant modes in oscillating systems with combined excitation. Zbl 1461.34058Sultanov, Oskar A. 2 2020 Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies. Zbl 1454.35348Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong 2 2020 The regularity of the multiple higher-order poles solitons of the NLS equation. Zbl 07288993Zhang, Yongshuai; Tao, Xiangxing; Yao, Tengteng; He, Jingsong 2 2020 Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits. Zbl 1455.92132Djidjou-Demasse, Ramsés; Abiodun, Gbenga J.; Adeola, Abiodun M.; Botai, Joel O. 1 2020 Three computational approaches to weakly nonlocal Poisson brackets. Zbl 07265661Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele 1 2020 Fronts in two-phase porous media flow problems: the effects of hysteresis and dynamic capillarity. Zbl 1454.76094Mitra, K.; Köppl, T.; Pop, I. S.; van Duijn, C. J.; Helmig, R. 1 2020 Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painlevé II equation. Zbl 1457.34129Kokocki, Piotr 1 2020 General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. Zbl 1454.37066Li, Ming; Fu, Heming; Wu, Chengfa 1 2020 General soliton solutions to a reverse-time nonlocal nonlinear Schrödinger equation. Zbl 1452.35198Ye, Rusuo; Zhang, Yi 1 2020 Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems. Zbl 1452.35095Aggarwal, Aekta; Sahoo, Manas Ranjan; Sen, Abhrojyoti; Vaidya, Ganesh 1 2020 A Davey-Stewartson description of two-dimensional solitons in nonlocal media. Zbl 1454.35342Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P. 1 2020 Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285Johnson, Mathew A.; Wright, J. Douglas 1 2020 Quasi-stability and upper semicontinuity for coupled parabolic equations with memory. Zbl 1459.37065Aouadi, Moncef 1 2020 Stable blow-up dynamics in the \(L^2\)-critical and \(L^2\)-supercritical generalized Hartree equation. Zbl 1455.35031Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang 1 2020 Stokes waves with constant vorticity: I. Numerical computation. Zbl 1420.35208Dyachenko, Sergey A.; Hur, Vera Mikyoung 9 2019 Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313Lou, S. Y. 6 2019 Modulational instability in a full-dispersion shallow water model. Zbl 1420.35241Hur, Vera Mikyoung; Pandey, Ashish Kumar 4 2019 A Lie symmetry analysis and explicit solutions of the two-dimensional \(\infty\)-polylaplacian. Zbl 1420.35401Papamikos, Georgios; Pryer, Tristan 3 2019 Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves. Zbl 1418.35305Hoefer, Mark A.; Smyth, Noel F.; Sprenger, Patrick 3 2019 Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321Bridges, Thomas J.; Ratliff, Daniel J. 3 2019 Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey 3 2019 On Möbius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative. Zbl 1423.35335Euler, Marianna; Euler, Norbert 3 2019 Stability of periodic traveling flexural-gravity waves in two dimensions. Zbl 1420.35218Trichtchenko, Olga; Milewski, Paul; Părău, Emilian; Vanden-Broeck, Jean-Marc 2 2019 Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line. Zbl 1420.35388Zhang, Cheng 2 2019 On the Whitham system for the radial nonlinear Schrödinger equation. Zbl 1418.35332Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor 2 2019 Rotational waves generated by current-topography interaction. Zbl 1418.35303Flamarion, Marcelo V.; Milewski, Paul A.; Nachbin, André 2 2019 D’Alembert-type solution of the Cauchy problem for the Boussinesq-Klein-Gordon equation. Zbl 1418.35306Khusnutdinova, Karima R.; Tranter, Matthew R. 2 2019 Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324Ratliff, Daniel J. 1 2019 Discrete and continuous coupled nonlinear integrable systems via the dressing method. Zbl 1420.35342Biondini, Gino; Wang, Qiao 1 2019 Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure. Zbl 1418.35334Congy, T.; El, G. A.; Hoefer, M. A.; Shearer, M. 1 2019 Generalized solitary waves in a finite-difference Korteweg-De Vries equation. Zbl 1418.35324Joshi, N.; Lustri, C. J. 1 2019 On the optimal focusing of solitons and breathers in long-wave models. Zbl 1418.35331Slunyaev, Alexey 1 2019 On mean flow generation due to oblique reflection of internal waves at a slope. Zbl 1418.35296Kataoka, Takeshi; Akylas, T. R. 1 2019 The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. Zbl 1418.35314Stepanyants, Yury 1 2019 Three-layer flows in the shallow water limit. Zbl 1418.35315Viríssimo, Francisco De Melo; Milewski, Paul A. 1 2019 On resonant interactions of gravity-capillary waves without energy exchange. Zbl 1418.35302Chabane, Malik; Choi, Wooyoung 1 2019 The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025Chen, Min; Chen, Yang; Fan, En-Gui 1 2019 Invariant discrete flows. Zbl 1423.35333Benson, Joseph; Valiquette, Francis 1 2019 Riemann-Hilbert problem and matrix discrete Painlevé II systems. Zbl 1451.35099Cassatella-Contra, Giovanni A.; Mañas, Manuel 1 2019 Finite-size corrections at the hard edge for the Laguerre \(\beta\) ensemble. 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Zbl 1375.35462Tian, Kai; Wang, Jing Ping 2 2017 ...and 1152 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,046 Authors 82 Grimshaw, Roger Hamilton James 65 Ablowitz, Mark Jay 59 Ma, Wen-Xiu 57 Geng, Xianguo 45 Fokas, Athanassios S. 45 Ward, Michael J. 43 Pelinovsky, Dmitry Efimovich 41 Rogers, Colin 35 Tian, Shoufu 34 He, Jingsong 32 Fan, Engui 31 Vanden-Broeck, Jean-Marc 31 Wei, Juncheng 28 Clarkson, Peter A. 28 Kudryashov, Nikolaĭ Alekseevich 27 Akylas, T. R. 27 López, José Luis 26 Benney, David J. 26 Bridges, Thomas J. 26 Milewski, Paul A. 26 Wazwaz, Abdul-Majid Abdul-Rahman 26 Xu, Shihe 25 Calogero, Francesco A. 25 Saffman, Philip Geoffrey 25 Yang, Jianke 24 Qu, Changzheng 24 Sahadevan, Ramajayam 24 Smith, Frank T. 24 Yang, Minbo 23 Biondini, Gino 23 Hall, Philip 23 Zhang, Dajun 22 Gao, Yitian 22 Majda, Andrew J. 22 Schief, Wolfgang Karl 22 Temme, Nico M. 22 Zhang, Tiantian 21 Boyd, John Philip 21 Deconinck, Bernard 21 Shen, Shoufeng 21 Srivastava, Hari Mohan 21 Straughan, Brian 21 Wan, Frederic Yui-Ming 20 Chen, William Yong-Chuan 20 Guo, Boling 20 Henningson, Dan S. 20 Moodie, T. Bryant 20 Santini, Paolo Maria 20 Van der Mee, Cornelis Victor Maria 20 Verde-Star, Luis 20 Wu, Xuesong 19 Byrne, Helen Mary 19 Dutykh, Denys 19 Grundland, Alfred Michel 19 Konopelchenko, Boris Georgievich 19 Qiao, Zhijun 19 Reidys, Christian Michael 19 Tenenblat, Keti 18 Feng, Baofeng 18 Joshi, Nalini 18 Kaup, David J. 18 Saut, Jean-Claude 18 Yan, Zhenya 17 Biswas, Anjan 17 Camassa, Roberto 17 Chow, Kwok Wing 17 Cui, Shangbin 17 El, Gennady A. 17 Guo, Zhengguang 17 Johnson, Mathew A. 17 Kolokolnikov, Theodore 17 Lou, Senyue 17 Maslowe, Sherwin A. 17 Miller, Peter D. 17 Rota, Gian-Carlo 17 Sherratt, Jonathan A. 17 Stanley, Richard Peter 17 Tian, Bo 17 Xue, Bo 16 Bracken, Paul Francis 16 Choi, Wooyoung 16 Dias, Frédéric 16 Hur, Vera Mikyoung 16 Jackson, David M. 16 Klein, Christian 16 Kung, Joseph P. S. 16 Pempinelli, Flora 16 Winternitz, Pavel 16 Wong, Roderick Sue-Chuen 16 Yuan, Wenjun 15 Boiti, Marco 15 Dias, João-Paulo 15 Doelman, Arjen 15 Goldstein, Marvin E. 15 Grinevich, Pëtr Georgievich 15 Guha, Partha 15 Jin, Xiaoqing 15 Pickering, Andrew 15 Prinari, Barbara 15 Wang, Zhan ...and 10,946 more Authors all top 5 Cited in 673 Journals 836 Journal of Fluid Mechanics 579 Journal of Mathematical Physics 559 Studies in Applied Mathematics 327 Journal of Mathematical Analysis and Applications 307 Physica D 258 Physics of Fluids 233 Applied Mathematics and Computation 207 Journal of Differential Equations 150 Discrete Mathematics 136 Communications in Nonlinear Science and Numerical Simulation 127 Applied Mathematics Letters 119 Journal of Nonlinear Mathematical Physics 118 Journal of Computational Physics 118 Nonlinear Dynamics 117 Wave Motion 116 Communications in Mathematical Physics 111 Journal of Combinatorial Theory. 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