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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

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)
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144, No. 1 (2020)
143, No. 4 (2019)
143, No. 3 (2019)
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142, No. 4 (2019)
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141, No. 4 (2018)
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140, No. 4 (2018)
140, No. 3 (2018)
140, No. 2 (2018)
140, No. 1 (2018)
139, No. 4 (2017)
139, No. 3 (2017)
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139, No. 1 (2017)
138, No. 4 (2017)
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138, No. 1 (2017)
137, No. 4 (2016)
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135, No. 4 (2015)
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134, No. 4 (2015)
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133, No. 4 (2014)
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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)
...and 191 more Volumes
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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
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 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
4 Boyd, John Philip
4 Chen, Yang
...and 1,445 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)
69 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)

Publications by Year

Citations contained in zbMATH Open

1,309 Publications have been cited 15,270 times in 11,732 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
683
1974
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
Lieb, Elliott H.
428
1977
On the boundary condition at the surface of a porous medium. Zbl 0271.76080
Saffman, P. G.
312
1971
Models for the growth of a solid tumor by diffusion. Zbl 0257.92001
Greenspan, H. P.
193
1972
A proposal for Toeplitz matrix calculations. Zbl 0621.65025
Strang, Gilbert
151
1986
Coalgebras and bialgebras in combinatorics. Zbl 0471.05020
Joni, S. A.; Rota, G.-C.
139
1979
On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009
Doubilet, Peter; Rota, Gian-Carlo; Stein, Joel
135
1974
Wave instabilities. Zbl 0216.52904
Benney, D. J.; Roskes, G. J.
127
1969
Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081
Kopell, N.; Howard, L. N.
121
1973
A general theory for interactions between short and long waves. Zbl 0358.76011
Benney, D. J.
116
1977
A nonlinear difference scheme and inverse scattering. Zbl 0338.35002
Ablowitz, M. J.; Ladik, J. F.
113
1976
The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009
Stanley, Richard P.
111
1975
A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Zbl 0274.35041
Russell, David L.
110
1973
Integrable nonlocal nonlinear equations. Zbl 1373.35281
Ablowitz, Mark J.; Musslimani, Ziad H.
108
2017
Numerical simulation of incompressible flows within simple boundaries. I: Galerkin (spectral) representations. Zbl 0237.76012
Orszag, Steven A.
101
1971
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.
98
1980
Symmetries and integrability. Zbl 0639.35075
Fokas, A. S.
97
1987
On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303
Goldman, Jay; Rota, Gian-Carlo
97
1970
Theory and application of plane partitions. II. Zbl 0225.05012
Stanley, Richard P.
95
1971
A new class of nonlinear waves in parallel flows. Zbl 0197.25403
Benney, D. J.; Bergeron, R. F. jun.
94
1969
The perturbed plane-wave solutions of the cubic Schrödinger equation. Zbl 0412.35028
Ma, Yan-Chow
92
1979
Some properties of long nonlinear waves. Zbl 0259.35011
Benney, D. J.
85
1973
The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031
Fokas, A. S.; Ablowitz, M. J.
82
1983
On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080
Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S.
82
1983
Weak and strong interactions between internal solitary waves. Zbl 0548.76020
Gear, J. A.; Grimshaw, R.
77
1984
On one-dimensional large-displacement finite-strain beam theory. Zbl 0267.73032
Reissner, E.
77
1973
The velocity of viscous vortex rings. Zbl 0224.76032
Saffman, P. G.
73
1970
Theory and application of plane partitions. I. Zbl 0225.05011
Stanley, Richard P.
71
1971
Asymptotic solutions of the Korteweg-deVries equation. Zbl 0369.35055
Ablowitz, M. J.; Segur, H.
70
1977
The periodic cubic Schrödinger equation. Zbl 0493.35032
Ma, Yan-Chow; Ablowitz, Mark J.
67
1981
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
67
1986
Critical layers in parallel flows. Zbl 0265.76052
Haberman, Richard
66
1972
Higher-order Painlevé equations in the polynomial class. I: Bureau symbol P2. Zbl 1136.34350
Cosgrove, Christopher M.
65
2000
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.
65
1980
Rational solutions of Painleve equations. Zbl 0496.58012
Airault, H.
64
1979
A frequency selection criterion in spatially developing flows. Zbl 0716.76041
Chomaz, Jean-Marc; Huerre, Patrick; Redekopp, Larry G.
63
1991
Convergence and continuous dependence for the Brinkman-Forchheimer equations. Zbl 1136.76448
Payne, L. E.; Straughan, B.
63
1999
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
62
1986
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
62
1984
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
61
1979
The modulation of an internal gravity-wave packet, and the resonance with the mean motion. Zbl 0361.76029
Grimshaw, R. H. J.
58
1977
Fourier analysis of the finite element method in Ritz-Galerkin theory. Zbl 0179.22501
Fix, G.; Strang, G.
57
1969
Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Zbl 0838.76026
Waleffe, Fabian
56
1995
Induced surfaces and their integrable dynamics. Zbl 0869.58027
Konopelchenko, B. G.
56
1996
On equations which describe pseudospherical surfaces. Zbl 0696.35111
Rabelo, Mauro L.
55
1989
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.
55
1983
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
55
2017
Asymptotic representation of solutions of perturbed systems of linear difference equations. Zbl 0628.39002
Benzaid, Z.; Lutz, D. A.
54
1987
Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059
Beals, Richard; Rabelo, Mauro; Tenenblat, Keti
54
1989
On the inviscid theory of rotating fluids. Zbl 0181.54303
Greenspan, H. P.
54
1969
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
54
1970
High-order solutions and generalized Darboux transformations of derivative nonlinear Schrödinger equations. Zbl 1303.35098
Guo, Boling; Ling, Liming; Liu, Q. P.
53
2013
Unsolvability in \(3 \times 3\) matrices. Zbl 0186.01103
Paterson, Michael S.
51
1970
Soliton solutions of the KP equation and application to shallow water waves. Zbl 1185.35219
Chakravarty, S.; Kodama, Y.
51
2009
Steady deep-water waves on a linear shear current. Zbl 0572.76022
Simmen, J. A.; Saffman, P. G.
50
1985
On the solution of a class of nonlinear partial difference equations. Zbl 0384.35018
Ablowitz, M. J.; Ladik, J. F.
50
1977
Dynamics of perturbed wavetrain solutions to the Ginzburg-Landau equation. Zbl 0575.76055
Keefe, Laurence R.
49
1985
On solutions to a two-component generalized Camassa-Holm equation. Zbl 1189.35255
Guo, Zhengguang; Zhou, Yong
49
2010
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
48
1980
The evolution of multi-phase modes for nonlinear dispersive waves. Zbl 0203.41001
Ablowitz, M. J.; Benney, D. J.
48
1970
Perturbations of solitons and solitary waves. Zbl 0486.76029
Kodama, Yuji; Ablowitz, Mark J.
46
1981
Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. Zbl 0572.76102
Grimshaw, R.
46
1985
Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001
Foata, Dominique; Zeilberger, Doron
46
1990
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
46
2017
General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
45
2011
Asymptotics beyond all orders in a model of crystal growth. Zbl 0732.34047
Kruskal, Martin D.; Segur, Harvey
45
1991
Continuous dependence on the heat source in resonant porous penetrative convection. Zbl 1250.80001
Straughan, B.
44
2011
On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy. Zbl 0274.05008
Doubilet, Peter
44
1972
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
43
1986
Marginal separation. Zbl 0514.76039
Stewartson, Keith; Smith, F. T.; Kaups, Kalle
43
1982
Consistent Riccati expansion for integrable systems. Zbl 1314.35145
Lou, S. Y.
43
2015
The complete solution of the long-wave-short-wave resonance equations. Zbl 0399.76028
Ma, Yan-Chow
43
1978
Activators and inhibitors in pattern formation. Zbl 0407.92023
Keener, James P.
43
1978
Boundary layer problems exhibiting resonance. Zbl 0198.12901
Ackerberg, R. C.; O’Malley, Robert E. jun.
42
1970
The existence and stability of asymmetric spike patterns for the Schnakenberg model. Zbl 1152.35397
Ward, Michael J.; Wei, Juncheng
41
2002
Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070
Howard, L. N.; Kopell, N.
41
1977
Group classification and generalized conditional symmetry reduction of the nonlinear diffusion-convection equation with a nonlinear source. Zbl 0879.35031
Qu, Changzheng
40
1997
\(P_ 4\)-reducible graphs - a class of uniquely tree-representable graphs. Zbl 0699.05054
Jamison, B.; Olariu, S.
39
1989
Painlevé classification of a class of differential equations of the second order and second degree. Zbl 0774.34005
Cosgrove, Christopher M.; Scoufis, George
39
1993
On the existence and formulation of variational principles for nonlinear differential equations. Zbl 0322.49019
Atherton, R. W.; Homsy, G. M.
39
1975
Series solutions of unsteady boundary-layer flows over a stretching flat plate. Zbl 1145.76352
Liao, Shijun
39
2006
Averaged equations for two-phase flows. Zbl 0225.76051
Drew, Donald A.; Segel, Lee A.
39
1971
Contour enhancement, short term memory, and constancies in reverberating neural networks. Zbl 0281.92005
Grossberg, Stephen
39
1973
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.
38
2013
The evolution in space and time of nonlinear waves in parallel shear flows. Zbl 0332.76028
Benney, D. J.; Maslowe, S. A.
38
1975
A new mechanism for linear and nonlinear hydrodynamic instability. Zbl 0481.76048
Benney, D. J.; Gustavsson, L. Hakan
37
1981
Comparison of pseudospectral and spectral approximation. Zbl 0282.65083
Orszag, Steven A.
37
1972
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.
36
2002
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
36
2005
Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135
Fokas, A. S.; Ablowitz, M. J.
35
1989
A multidimensional inverse-scattering method. Zbl 0557.35032
Nachman, Adrian I.; Ablowitz, Mark J.
35
1984
Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008
Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A.
35
1995
On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395
Joshi, Nalini; Kitaev, A. V.
35
2001
The evolution of a nonlinear critical level. Zbl 0415.76020
Warn, T.; Warn, H.
35
1978
On the spectrum and decay of random two-dimensional vorticity distributions at large Reynolds number. Zbl 0237.76029
Saffman, P. G.
35
1971
On the settling speed of free and fixed suspensions. Zbl 0264.76077
Saffman, P. G.
35
1973
Modulational instability in the Whitham equation for water waves. Zbl 1309.35079
Hur, Vera Mikyoung; Johnson, Mathew A.
34
2015
Aerodynamic sound emission as a singular perturbation problem. Zbl 0185.54701
Crow, S. C.
34
1970
An affine representation for transversal geometries. Zbl 0309.05018
Brylawski, Thomas H.
34
1975
Weight enumeration and the geometry of linear codes. Zbl 0331.05019
Greene, Curtis
34
1976
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
4
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’Regan, Donal
3
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
3
2021
Analyticity of rotational traveling gravity two-layer waves. Zbl 1466.76014
Chu, Jifeng; Wang, Ling-Jun
3
2021
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability. Zbl 07405480
Binswanger, Adam L.; Hoefer, Mark A.; Ilan, Boaz; Sprenger, Patrick
3
2021
Sharp estimate of electric field from a conductive rod and application. Zbl 1466.78011
Fang, Xiaoping; Deng, Youjun; Liu, Hongyu
2
2021
Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows. Zbl 1472.35347
Biondini, Gino; Lottes, Jonathan; Mantzavinos, Dionyssios
2
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
2
2021
Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations. Zbl 1473.35527
An, Ling; Li, Chuanzhong; Zhang, Lixiang
2
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
2
2021
Differential, difference, and asymptotic relations for Pollaczek-Jacobi type orthogonal polynomials and their Hankel determinants. Zbl 1471.42059
Min, Chao; Chen, Yang
2
2021
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials. Zbl 1466.05027
Charlier, Christophe
1
2021
Mass-in-mass lattices with small internal resonators. Zbl 1471.82011
Hadadifard, Fazel; Wright, J. Douglas
1
2021
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems. Zbl 1472.82002
Lyu, 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 1467.35088
Tisbury, 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 1467.35089
Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra
1
2021
Improved finite-time zeroing neural network for time-varying division. Zbl 1467.93132
Gerontitis, Dimitris; Behera, Ratikanta; Sahoo, Jajati Keshari; Stanimirović, Predrag S.
1
2021
Exact analytical solution of a novel modified nonlinear Schrödinger equation: solitary quantum waves on a lattice. Zbl 1466.81013
Luo, Jingxi
1
2021
A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes. Zbl 1467.92195
Escobar-Lasso, Oscar Eduardo; Vasilieva, Olga
1
2021
An invariant for colored bonded knots. Zbl 1479.57008
Gabrovšek, Boštjan
1
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
1
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.
1
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
1
2021
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid. Zbl 1480.35335
Mori, Yoichiro; Ohm, Laurel
1
2021
Singular Sturm-Liouville operators with extreme properties that generate black holes. Zbl 07387810
Belinskiy, Boris P.; Hinton, Don B.; Nichols, Roger
1
2021
Essential spectra of singular Hamiltonian differential operators of arbitrary order under a class of perturbations. Zbl 07387811
Yang, Chen; Sun, Huaqing
1
2021
Green’s functions, linear second-order differential equations, and one-dimensional diffusion advection models. Zbl 07387814
Yu, Xiao; Lan, Kunquan; Wu, Jianhong
1
2021
Local symmetry structure and potential symmetries of time-fractional partial differential equations. Zbl 1471.35013
Zhang, Zhi-Yong; Lin, Zhi-Xiang
1
2021
On analyticity of scattered fields in layered structures with interfacial graphene. Zbl 07405474
Nicholls, David P.
1
2021
Optimal quarantine-related strategies for COVID-19 control models. Zbl 07405476
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
1
2021
Rogue waves and lumps on the nonzero background in the \(\mathcal{PT}\)-symmetric nonlocal Maccari system. Zbl 07405479
Cao, Yulei; Cheng, Yi; Malomed, Boris A.; He, Jingsong
1
2021
Uniform (very) sharp bounds for ratios of parabolic cylinder functions. Zbl 07405483
Segura, Javier
1
2021
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids. Zbl 07415606
Singh, Mehakpreet
1
2021
Dispersive Riemann problems for the Benjamin-Bona-Mahony equation. Zbl 1476.35142
Congy, T.; El, G. A.; Hoefer, M. A.; Shearer, M.
1
2021
On the three-dimensional consistency of Hirota’s discrete Korteweg-de Vries equation. Zbl 1483.39009
Joshi, Nalini; Nakazono, Nobutaka
1
2021
Lump chains in the KP-I equation. Zbl 07476242
Lester, Charles; Gelash, Andrey; Zakharov, Dmitry; Zakharov, Vladimir
1
2021
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo
20
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.
15
2020
Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies. Zbl 1454.35348
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong
7
2020
Coefficients of Wronskian Hermite polynomials. Zbl 1442.05016
Bonneux, Niels; Dunning, Clare; Stevens, Marco
6
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
6
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
6
2020
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
4
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.
3
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
3
2020
General soliton solutions to a reverse-time nonlocal nonlinear Schrödinger equation. Zbl 1452.35198
Ye, Rusuo; Zhang, Yi
3
2020
Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285
Johnson, Mathew A.; Wright, J. Douglas
3
2020
Optimal control of dengue epidemic outbreaks under limited resources. Zbl 1453.92195
Sepulveda-Salcedo, Lilian Sofia; Vasilieva, Olga; Svinin, Mikhail
3
2020
Bifurcations of autoresonant modes in oscillating systems with combined excitation. Zbl 1461.34058
Sultanov, Oskar A.
3
2020
Quasi-stability and upper semicontinuity for coupled parabolic equations with memory. Zbl 1459.37065
Aouadi, Moncef
3
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.
2
2020
Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painlevé II equation. Zbl 1457.34129
Kokocki, Piotr
2
2020
Sparse spectral and \(p\)-finite element methods for partial differential equations on disk slices and trapeziums. Zbl 1452.65376
Snowball, Ben; Olver, Sheehan
2
2020
Numerical study of the transverse stability of the Peregrine solution. Zbl 1452.65276
Klein, Christian; Stoilov, Nikola
2
2020
The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. Zbl 1452.35180
Chen, Jinbing; Zhang, Runsu
2
2020
A Davey-Stewartson description of two-dimensional solitons in nonlocal media. Zbl 1454.35342
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P.
2
2020
Linear and nonlinear electromagnetic waves in modulated honeycomb media. Zbl 1454.35372
Hu, Pipi; Hong, Liu; Zhu, Yi
2
2020
Asymptotic solutions of inhomogeneous differential equations having a turning point. Zbl 1457.34126
Dunster, T. M.
2
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
2
2020
Barotropic instability of shear flows. Zbl 1445.76044
Lin, Zhiwu; Yang, Jincheng; Zhu, Hao
1
2020
Three computational approaches to weakly nonlocal Poisson brackets. Zbl 1478.37066
Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele
1
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
1
2020
Zeroth-order conservation laws of two-dimensional shallow water equations with variable bottom topography. Zbl 1454.76018
Bihlo, Alexander; Popovych, Roman O.
1
2020
Semiclassical dynamics and coherent soliton condensates in self-focusing nonlinear media with periodic initial conditions. Zbl 1454.35332
Biondini, Gino; Oregero, Jeffrey
1
2020
Kernel density estimation with linked boundary conditions. Zbl 1453.62440
Colbrook, Matthew J.; Botev, Zdravko I.; Kuritz, Karsten; MacNamara, Shev
1
2020
Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis. I. Zbl 1470.34237
Andreev, Fedor V.; Kitaev, Alexander V.
1
2020
Uniform asymptotics and zeros of the associated Pollaczek polynomials. Zbl 1462.33003
Huang, Xiao-Min; Wong, R.
1
2020
Kinetic energy of the Langevin particle. Zbl 1465.82008
Escudero, Carlos
1
2020
The short pulse equation: Bäcklund transformations and applications. Zbl 1455.35058
Mao, Hui; Liu, Q. P.
1
2020
Stokes waves with constant vorticity: I. Numerical computation. Zbl 1420.35208
Dyachenko, Sergey A.; Hur, Vera Mikyoung
12
2019
Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313
Lou, S. Y.
10
2019
Modulational instability in a full-dispersion shallow water model. Zbl 1420.35241
Hur, Vera Mikyoung; Pandey, Ashish Kumar
8
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
6
2019
Rotational waves generated by current-topography interaction. Zbl 1418.35303
Flamarion, Marcelo V.; Milewski, Paul A.; Nachbin, André
6
2019
Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321
Bridges, Thomas J.; Ratliff, Daniel J.
4
2019
Stability of periodic traveling flexural-gravity waves in two dimensions. Zbl 1420.35218
Trichtchenko, Olga; Milewski, Paul; Părău, Emilian; Vanden-Broeck, Jean-Marc
4
2019
Finite-size corrections at the hard edge for the Laguerre \(\beta\) ensemble. Zbl 1452.15025
Forrester, Peter J.; Trinh, Allan K.
4
2019
On the Whitham system for the radial nonlinear Schrödinger equation. Zbl 1418.35332
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor
3
2019
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335
Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey
3
2019
On resonant interactions of gravity-capillary waves without energy exchange. Zbl 1418.35302
Chabane, Malik; Choi, Wooyoung
3
2019
On Möbius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative. Zbl 1423.35335
Euler, Marianna; Euler, Norbert
3
2019
A Lie symmetry analysis and explicit solutions of the two-dimensional \(\infty\)-polylaplacian. Zbl 1420.35401
Papamikos, Georgios; Pryer, Tristan
3
2019
Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure. Zbl 1418.35334
Congy, T.; El, G. A.; Hoefer, M. A.; Shearer, M.
2
2019
Generalized solitary waves in a finite-difference Korteweg-De Vries equation. Zbl 1418.35324
Joshi, N.; Lustri, C. J.
2
2019
On the optimal focusing of solitons and breathers in long-wave models. Zbl 1418.35331
Slunyaev, Alexey
2
2019
Three-layer flows in the shallow water limit. Zbl 1418.35315
Viríssimo, Francisco De Melo; Milewski, Paul A.
2
2019
D’Alembert-type solution of the Cauchy problem for the Boussinesq-Klein-Gordon equation. Zbl 1418.35306
Khusnutdinova, Karima R.; Tranter, Matthew R.
2
2019
The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025
Chen, Min; Chen, Yang; Fan, En-Gui
2
2019
Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line. Zbl 1420.35388
Zhang, Cheng
2
2019
Riemann-Hilbert problem and matrix discrete Painlevé II systems. Zbl 1451.35099
Cassatella-Contra, Giovanni A.; Mañas, Manuel
2
2019
On mean flow generation due to oblique reflection of internal waves at a slope. Zbl 1418.35296
Kataoka, Takeshi; Akylas, T. R.
1
2019
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. Zbl 1418.35314
Stepanyants, Yury
1
2019
Interfacial long traveling waves in a two-layer fluid with variable depth. Zbl 1418.35309
Pelinovsky, Efim; Talipova, Tatiana; Didenkulova, Ira; Didenkulova(Shurgalina), Ekaterina
1
2019
2-D solitary waves in thermal media with nonsymmetric boundary conditions. Zbl 1418.35339
Louis, Simon A.; Marchant, Tim R.; Smyth, Noel F.
1
2019
Invariant discrete flows. Zbl 1423.35333
Benson, Joseph; Valiquette, Francis
1
2019
Initial conditions for the cylindrical Korteweg-de Vries equation. Zbl 1423.35341
Grimshaw, Roger
1
2019
Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324
Ratliff, Daniel J.
1
2019
Discrete and continuous coupled nonlinear integrable systems via the dressing method. Zbl 1420.35342
Biondini, Gino; Wang, Qiao
1
2019
Multi-dimensional conservation laws and integrable systems. Zbl 1448.35405
Makridin, Zakhar V.; Pavlov, Maxim V.
1
2019
A coefficient identification problem for a mathematical model related to ductal carcinoma in Situ. Zbl 1448.35524
Wu, Bin; Chen, Qun; Yu, Jun; Wang, Zewen
1
2019
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Cited by 11,887 Authors

84 Grimshaw, Roger Hamilton James
68 Ma, Wen-Xiu
66 Ablowitz, Mark Jay
65 Geng, Xianguo
47 Pelinovsky, Dmitry Efimovich
46 Fokas, Athanassios S.
45 Ward, Michael J.
43 Tian, Shoufu
42 Rogers, Colin
40 Fan, Engui
38 He, Jingsong
32 Vanden-Broeck, Jean-Marc
32 Wei, Juncheng
30 Kudryashov, Nikolaĭ Alekseevich
29 Clarkson, Peter A.
28 Akylas, T. R.
28 Wazwaz, Abdul-Majid Abdul-Rahman
28 Xu, Shihe
28 Yang, Jianke
27 Bridges, Thomas J.
27 López, José Luis
27 Milewski, Paul A.
26 Benney, David J.
26 Straughan, Brian
25 Biondini, Gino
25 Calogero, Francesco A.
25 Saffman, Philip Geoffrey
25 Yang, Minbo
25 Zhang, Tiantian
24 Hall, Philip
24 Qu, Changzheng
24 Sahadevan, Ramajayam
24 Smith, Frank T.
24 Temme, Nico M.
24 Zhang, Dajun
23 Chen, Yong
23 Dutykh, Denys
23 Schief, Wolfgang Karl
23 Srivastava, Hari Mohan
23 Yan, Zhenya
22 Deconinck, Bernard
22 Gao, Yitian
22 Majda, Andrew J.
22 Saut, Jean-Claude
22 Wu, Xuesong
21 Boyd, John Philip
21 Santini, Paolo Maria
21 Shen, Shoufeng
21 Wan, Frederic Yui-Ming
21 Xue, Bo
20 Chen, William Yong-Chuan
20 Guo, Boling
20 Henningson, Dan S.
20 Konopelchenko, Boris Georgievich
20 Moodie, T. Bryant
20 Qiao, Zhijun
20 Tenenblat, Keti
20 Van der Mee, Cornelis Victor Maria
20 Verde-Star, Luis
20 Wen, Xiaoyong
19 Biswas, Anjan
19 Byrne, Helen Mary
19 El, Gennady A.
19 Feng, Baofeng
19 Grundland, Alfred Michel
19 Joshi, Nalini
19 Klein, Christian
19 Reidys, Christian Michael
19 Wang, Zhan
18 Camassa, Roberto
18 Hur, Vera Mikyoung
18 Kaup, David J.
18 Lou, Senyue
18 Miller, Peter D.
18 Tian, Bo
18 Zhang, Yufeng
17 Cheng, Yi
17 Chow, Kwok Wing
17 Cui, Shangbin
17 Dias, Frédéric
17 Guo, Zhengguang
17 Johnson, Mathew A.
17 Kalisch, Henrik
17 Kolokolnikov, Theodore
17 Maslowe, Sherwin A.
17 Rota, Gian-Carlo
17 Sherratt, Jonathan A.
17 Stanley, Richard Peter
16 Bracken, Paul Francis
16 Choi, Wooyoung
16 Grinevich, Pëtr Georgievich
16 Guha, Partha
16 Jackson, David M.
16 Kung, Joseph P. S.
16 Mihalache, Dumitru
16 Pempinelli, Flora
16 Pickering, Andrew
16 Rao, Jiguang
16 Winternitz, Pavel
16 Wong, Roderick Sue-Chuen
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Cited in 714 Journals

868 Journal of Fluid Mechanics
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128 Wave Motion
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37 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 Numerical Algorithms
28 The Electronic Journal of Combinatorics
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27 International Journal for Numerical Methods in Fluids
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