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Journal of Nonlinear Mathematical Physics

Short Title: J. Nonlinear Math. Phys.
Publisher: Taylor & Francis, Abingdon, Oxfordshire; Atlantis Press, Paris
ISSN: 1402-9251; 1776-0852/e
Online: https://www.tandfonline.com/loi/tnmp20
https://www.worldscientific.com/loi/jnmp
https://www.atlantis-press.com/journals/jnmp
Predecessor: Journal of Nonlinear Mathematical Physics
Comments: Indexed cover-to-cover
Documents Indexed: 1,218 Publications (since 1998)
References Indexed: 1,125 Publications with 23,330 References.
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Latest Issues

27, No. 4 (2020)
27, No. 3 (2020)
27, No. 2 (2020)
27, No. 1 (2020)
26, No. 4 (2019)
26, No. 3 (2019)
26, No. 2 (2019)
26, No. 1 (2019)
25, No. 4 (2018)
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14, No. 1-4 (2007)
13, No. 1-4 (2006)
13, Suppl. 1 (2006)
12, No. 4 (2005)
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11, Suppl. 1 (2004)
10, No. 4 (2003)
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10, Suppl. 1 (2003)
9, No. 4 (2002)
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9, Suppl. 1 (2002)
8, No. 4 (2001)
8, No. 3 (2001)
8, No. 2 (2001)
8, No. 1 (2001)
8, Suppl. (2001)
7, No. 4 (2000)
7, No. 3 (2000)
7, No. 2 (2000)
7, No. 1 (2000)
6, No. 4 (1999)
6, No. 3 (1999)
6, No. 2 (1999)
...and 3 more Volumes
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Authors

40 Calogero, Francesco A.
27 Leach, Peter Gavin Lawrence
22 Nucci, Maria Clara
19 Gaeta, Giuseppe
17 Kupershmidt, Boris A.
17 Valls Anglés, Cláudia
14 Euler, Marianna
14 Euler, Norbert
14 Llibre, Jaume
11 Grammaticos, Basil
11 Mahomed, Fazal M.
11 Ramani, Alfred
10 Cheng, Jipeng
10 Leyvraz, Francois
9 Grundland, Alfred Michel
9 Guha, Partha
9 Leites, Dimitry A.
9 Prykarpatsky, Anatoliy Karolevych
8 Estévez, Pilar G.
8 Gandarias Núñez, Maria Luz
8 Ruijsenaars, Simon N. M.
7 Geng, Xianguo
7 He, Jingsong
7 Hu, Xingbiao
7 Lakshmanan, Muthusamy
7 Perelomov, Askold M.
7 Rogers, Colin
7 Vekslerchik, Vadym Yevgenovych
7 Zhang, Dajun
6 Blackmore, Denis L.
6 Constantin, Adrian
6 Conte, Robert M.
6 Grebenev, Vladimir N.
6 Levi, Decio
6 Morozov, Oleg I.
6 Muriel, Concepción
6 Oberlack, Martin
6 Zeng, Yunbo
5 Anco, Stephen C.
5 Andriopoulos, Kostis
5 Bihun, Oksana
5 Bruschi, Mario
5 Bruzón, Maria Santos
5 Chandrasekar, V. K.
5 Fokas, Athanassios S.
5 Françoise, Jean-Pierre
5 Gubbiotti, Giorgio
5 Ionescu-Kruse, Delia
5 Johnson, Robin Stanley
5 Kolev, Boris
5 Lenells, Jonatan
5 Lin, Runliang
5 Meleshko, Sergey V.
5 Morando, Paola
5 Qadir, Asghar
5 Ragnisco, Orlando
5 Sahadevan, Ramajayam
5 Sakovich, Sergei Yu.
5 Shereshevskii, Ilya Aronovich
5 Silvestrov, Sergei D.
5 Suris, Yuri Borisovich
5 Tyutin, Igor Viktorovich
5 Veselov, Alexander Petrovich
4 Bracken, Paul Francis
4 Cadoni, Mariano
4 Chen, Huizhan
4 Clarkson, Peter A.
4 De Lillo, Silvana
4 Ehrnström, Mats
4 Fan, Engui
4 Gegenhasi
4 Geng, Lumin
4 Giné, Jaume
4 Hone, Andrew N. W.
4 Hounkonnou, Mahouton Norbert
4 Hwang, Guenbo
4 Ivanov, Rossen I.
4 Khalique, Chaudry Masood
4 Konopelchenko, Boris Georgievich
4 Leznov, Andreĭ Nikolaevich
4 Li, Chunxia
4 Liu, Qingping
4 Mason, David Paul
4 Musette, Micheline
4 Petrera, Matteo
4 Prykarpatsky, Yarema Anatoliyovych
4 Qiao, Zhijun
4 Senthilvelan, Murugaian
4 Sommacal, Matteo
4 Szmigielski, Jacek
4 Tian, Shoufu
4 Tsyganov, Andreĭ Vladimirovich
4 Vakhnenko, Oleksiy O.
4 Winternitz, Pavel
4 Yin, Zhaoyang
4 Zhao, Songlin
4 Zheltukhina, Natalya A.
3 Abraham-Shrauner, Barbara
3 Ballesteros, Angel
3 Błaszak, Maciej
...and 1,162 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

852 Publications have been cited 4,590 times in 3,590 Documents Cited by Year
On Gerstner’s water wave. Zbl 1362.76009
Henry, David
76
2008
\(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals. Zbl 1158.11009
Kim, Taekyun
75
2007
A variational approach to the stability of periodic peakons. Zbl 1067.35076
Lenells, Jonatan
62
2004
Fractional \(q\)-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
61
2007
Variational derivation of the Camassa-Holm shallow water equation. Zbl 1157.76005
Ionescu-Kruse, Delia
58
2007
On well-posedness results for Camassa-Holm equation on the line: a survey. Zbl 1069.35076
Molinet, Luc
55
2004
Compactly supported solutions of the Camassa-Holm equation. Zbl 1086.35079
Henry, David
52
2005
A note on the Degasperis-Procesi equation. Zbl 1067.35078
Mustafa, Octavian G.
48
2005
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
47
2002
What a classical \(r\)-matrix really is. Zbl 1015.17015
Kupershmidt, Boris A.
46
1999
A basis of conservation laws for partial differential equations. Zbl 1362.35024
Kara, A. H.; Mahomed, F. M.
46
2002
Reflection symmetries of \(q\)-Bernoulli polynomials. Zbl 1362.33021
Kupershmidt, Boris A.
41
2005
On edge waves in stratified water along a sloping beach. Zbl 1394.76030
Stuhlmeier, Raphael
40
2011
Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier. Zbl 1206.34013
Nucci, M. C.; Tamizhmani, K. M.
32
2010
Adjoint symmetry constraints leading to binary nonlinearization. Zbl 1362.35026
Ma, Wen-Xiu; Zhou, Ruguang
30
2002
A list of \(1+1\) dimensional integrable equations and their properties. Zbl 1362.37137
Wang, Jing Ping
30
2002
The classical problem of water waves: a reservoir of integrable and nearly-integrable equations. Zbl 1362.35264
Johnson, Robin S.
30
2003
Sundman symmetries of nonlinear second-order and third-order ordinary differential equations. Zbl 1075.34033
Euler, Norbert; Euler, Marianna
29
2004
Jacobi last multiplier and Lie symmetries: a novel application of an old relationship. Zbl 1080.34003
Nucci, M. C.
29
2005
New approach to the complete sum of products of the twisted \((h,q)\)-Bernoulli numbers and polynomials. Zbl 1163.11015
Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul
27
2007
A class of equations with peakon and pulson solutions (with an appendix by Harry Braden and John Byatt-Smith). Zbl 1362.35316
Holm, Darryl D.; Hone, N. W.
26
2005
Coupled KdV equations of Hirota-Satsuma type. Zbl 0947.35142
Sakovich, S. Yu.
25
1999
On the integrability of a class of nonlinear dispersive wave equations. Zbl 1089.35522
Ivanov, Rossen
24
2005
On the Cauchy problem for a nonlinearly dispersive wave equation. Zbl 1021.35100
Yin, Zhaoyang
23
2003
Lagrangian formulation of a generalized Lane-Emden equation and double reduction. Zbl 1169.34033
Khalique, C. Masood; Mahomed, Fazal M.; Muatjetjeja, Ben
23
2008
Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318
Golubchik, I. Z.; Sokolov, V. V.
22
2000
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
22
2003
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
22
2007
On \((q, h)\)-analogue of fractional calculus. Zbl 1189.26006
Čermák, Jan; Nechvátal, Luděk
22
2010
Wave breaking in a class of nonlocal dispersive wave equations. Zbl 1110.35069
Liu, Hailiang
22
2006
Deformations of modules of differential forms. Zbl 1030.17022
Agrebaoui, B.; Ben Ammar, M.; Ben Fraj, N.; Ovsienko, V.
21
2003
Classification of 3D consistent quad-equations. Zbl 1252.37068
Boll, Raphael
21
2011
Steady water waves. Zbl 1064.35144
Groves, M. D.
20
2004
Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves. Zbl 1245.76009
Henry, David
20
2007
On the geodesic flow on the group of diffeomorphisms of the circle with a fractional Sobolev right-invariant metric. Zbl 1200.58009
Wunsch, Marcus
20
2010
Invariant linearization criteria for systems of cubically nonlinear second-order ordinary differential equations. Zbl 1190.34045
Mahomed, F. M.; Qadir, Asghar
20
2009
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
20
2005
\(L_p\)-\(L_q\) decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
19
2004
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
19
2005
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
19
2003
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
19
2005
Classical and nonclassical symmetries of a generalized Boussinesq equation. Zbl 0944.35084
Gandarias, M. L.; Bruzon, M. S.
18
1998
On the nature of the Virasoro algebra. Zbl 1015.17027
Kupershmidt, Boris A.
18
1999
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
18
2005
A note on \(q\)-Bernoulli numbers and polynomials. Zbl 1109.33024
Hegazi, A. S.; Mansour, M.
18
2006
Hamiltonian structure and linear stability of solitary waves of the Green-Naghdi equations. Zbl 1362.35079
Li, Yi A.
18
2002
Lie groups and mechanics: an introduction. Zbl 1069.35070
Kolev, Boris
17
2004
The Kaldor-Kalecki model of business cycle as a two-dimensional dynamical system. Zbl 0989.90099
Szydłowski, Marek; Krawiec, Adam
17
2001
On bi-integrable natural Hamiltonian systems on Riemannian manifolds. Zbl 1221.37113
Tsiganov, A. V.
17
2011
The Maupertuis principle and canonical transformations of the extended phase space. Zbl 0974.35118
Tsiganov, A. V.
16
2001
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
16
2003
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
16
2003
Euler-Poincaré formalism of (two component) Degasperis-Procesi and Holm-Staley type systems. Zbl 1165.35032
Guha, Partha
16
2007
Painlevé test and higher order differential equations. Zbl 1028.34082
Muğan, Uğurhan; Jrad, Fahd
16
2002
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
16
2002
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
16
2008
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain \((2+1)\)-dimensional nonlinear evolution equations. Zbl 1119.37324
Senthil Velan, M.; Lakshmanan, M.
15
1998
First integrals generated by pseudosymmetries in Nambu-Poisson mechanics. Zbl 1119.37317
Crâşmăreanu, Mircea
15
2000
\(q,k\)-generalized gamma and beta functions. Zbl 1075.33010
Díaz, Rafael; Teruel, Carolina
15
2005
Rota-Baxter operators on pre-Lie algebras. Zbl 1203.17016
Li, Xiuxian; Hou, Dongping; Bai, Chengming
15
2007
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
15
2005
Conservation laws for self-adjoint first-order evolution equation. Zbl 1219.35228
Freire, Igor Leite
15
2011
Provenance of Type II hidden symmetries from nonlinear partial differential equations. Zbl 1110.35321
Abraham-Shrauner, Barbara; Govinder, Keshlan S.
15
2006
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
15
2002
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
15
2003
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
15
2005
Integrating factors and \(\lambda\)-symmetries. Zbl 1362.34057
Muriel, C.; Romero, J. L.
15
2008
Solitary traveling water waves of moderate amplitude. Zbl 1362.76017
Geyer, Anna
15
2012
Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions. Zbl 1114.70329
Calogero, F.; Françoise, J.-P.; Sommacal, M.
14
2003
The Heun equation and the Calogero-Moser-Sutherland system. III: The finite-gap property and the monodromy. Zbl 1087.81028
Takemura, Kouichi
14
2004
On the propagation of vector ultra-short pulses. Zbl 1172.35502
Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe
14
2008
A new extended q-deformed KP hierarchy. Zbl 1168.37020
Lin, Runliang; Liu, Xiaojun; Zeng, Yunbo
14
2008
Corrigendum: “Classification of 3D consistent quad-equations”. Zbl 1262.37033
Boll, Raphael
14
2012
Cohomology of the Lie superalgebra of contact vector fields on \(\mathbb K^{1|1}\) and deformations of the superspace of symbols. Zbl 1238.17015
Basdouri, Imed; Ben Ammar, Mabrouk; Ben Fraj, Nizar; Boujelbene, Maha; Kamoun, Kaouthar
14
2009
On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations: two linearisable hierarchies. Zbl 1284.35021
Euler, Norbert; Euler, Marianna
14
2009
Symbolic software for the Painlevé test of nonlinear ordinary and partial differential equations. Zbl 1110.35300
Baldwin, Douglas; Hereman, Willy
14
2006
Particle trajectories in linearized irrotational shallow water flows. Zbl 1362.76041
Ionescu-Kruse, Delia
14
2008
Blow-up phenomena and decay for the periodic Degasperis-Procesi equation with weak dissipation. Zbl 1362.35274
Wu, Shuyin; Yin, Zhaoyang
14
2008
A generalization of the sine-Gordon equation to 2+1 dimensions. Zbl 1067.35086
Estévez, P. G.; Prada, J.
13
2004
Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide. Zbl 1067.35122
Smirnov, Y.; Schürmann, H. W.; Shestopalov, Y.
13
2004
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
13
2001
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
13
2003
Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples. Zbl 1100.42015
Castro, Mirta M.; Grünbaum, F. Alberto
13
2005
Application of Lie group analysis to a core group model for sexually transmitted diseases. Zbl 1117.34040
Edwards, M.; Nucci, M. C.
13
2006
On the cohomology of the Lie superalgebra of contact vector fields on \(S^{1|2}\). Zbl 1146.17016
Agrebaoui, B.; Ben Fraj, N.; Omri, S.
13
2006
Complete invariant characterization of scalar linear \((1+1)\) parabolic equations. Zbl 1362.35306
Mahomed, Fazal M.
13
2008
Second-order ordinary differential equations and first integrals of the form \(A(t,x)\dot{x}+B(t,x)\). Zbl 1362.34064
Muriel, C.; Romero, J. L.
13
2009
On integrability of a \((2+1)\)-dimensional perturbed KdV equation. Zbl 0946.35092
Sakovich, S. Yu.
12
1998
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
12
2004
Bihamiltonian geometry and separation of variables for Toda lattices. Zbl 0981.37018
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
12
2001
Asymptotically isochronous systems. Zbl 1161.70010
Calogero, Francesco; Gomez-Ullate, David
12
2008
Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026
Nucci, M. C.; Leach, P. G. L.
12
2005
Dark equations. Zbl 1001.35107
Kupershmidt, B. A.
12
2001
Deforming the Lie superalgebra of contact vector fields on \(S^{1|1}\) inside the Lie superalgebra of superpseudodifferential operators on \(S^{1|1}\). Zbl 1146.17021
Ben Fraj, N.; Omri, S.
12
2006
On an integrable differentiable-difference equation with a source. Zbl 1110.35346
Gegenhasi; Hu, Xing-Biao
12
2006
Is my ODE a Painlevé equation in disguise? Zbl 1362.34129
Hietarinta, Jarmo; Dryuma, Valery
12
2002
Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus’ and Carnot’s theorems. Zbl 1362.39013
Schief, Wolfgang Karl
12
2003
On constant vorticity flows beneath two-dimensional surface solitary waves. Zbl 1362.76019
Stuhlmeier, Raphael
12
2012
On periodic water waves with Coriolis effects and isobaric streamlines. Zbl 1362.76016
Matioc, Anca-Voichita; Matioc, Bogdan-Vasile
12
2012
Symmetry reductions and new functional separable solutions of nonlinear Klein-Gordon and telegraph type equations. Zbl 1436.81038
Zhurov, Alexei I.; Polyanin, Andrei D.
3
2020
Multicomplex solitons. Zbl 1436.35065
Cen, Julia; Fring, Andreas
2
2020
Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059
Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume
2
2020
Euler’s triangle and the decomposition of tensor powers of the adjoint \(\mathfrak{sl}(2)\)-module. Zbl 1436.17013
Perelomov, Askold M.
1
2020
Realizations of the Witt and Virasoro algebras and integrable equations. Zbl 1436.17035
Huang, Qing; Zhdanov, Renat
1
2020
Inverse scattering transform and solitons for square matrix nonlinear Schrödinger equations with mixed sign reductions and nonzero boundary conditions. Zbl 1439.35360
Ortiz, Alyssa K.; Prinari, Barbara
1
2020
On constant solutions of \(\mathrm{SU}(2)\) Yang-Mills equations with arbitrary current in Euclidean space \(\mathbb{R}^n \). Zbl 1436.70012
Shirokov, Dmitry
1
2020
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
1
2020
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation. Zbl 1441.37076
Xu, Xiaoxue; Cao, Cewen; Zhang, Guangyao
1
2020
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations. Zbl 1417.37263
Garifullin, Rustem N.; Gubbiotti, Giorgio; Yamilov, Ravil I.
6
2019
Exact Pollard-like internal water waves. Zbl 1417.74010
Kluczek, Mateusz
6
2019
Two-component generalizations of the Novikov equation. Zbl 1417.37231
Li, Hongmin
4
2019
Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
4
2019
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
3
2019
Rational solutions to \(Q3_{\delta}\) in the Adler-Bobenko-Suris list and degenerations. Zbl 1417.37242
Zhao, Song-lin; Zhang, Da-jun
3
2019
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 07107729
Giné, Jaume; Valls, Claudia
3
2019
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
2
2019
Bilinear identities and squared eigenfunction symmetries of the \(BC_r\)-KP hierarchy. Zbl 1417.35168
Geng, Lumin; Chen, Huizhan; Li, Na; Cheng, Jipeng
2
2019
Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 1464.80011
Rogers, Colin
2
2019
Two peculiar classes of solvable systems featuring 2 dependent variables evolving in discrete-time via 2 nonlinearly-coupled first-order recursion relations. Zbl 1418.39019
Calogero, Francesco; Payandeh, Farrin
1
2019
Constructing discrete Painlevé equations: from \(\mathrm{E}_8^{(1)}\) to \(\mathrm{A}_1^{(1)}\) and back. Zbl 1418.37113
Ramani, A.; Grammaticos, B.; Willox, R.; Tamizhmani, T.
1
2019
A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. Zbl 1418.35330
Rasin, Alexander G.; Schiff, Jeremy
1
2019
Integration of the stochastic logistic equation via symmetry analysis. Zbl 1417.60049
Gaeta, Giuseppe
1
2019
The Riemann-Hilbert problem to coupled nonlinear Schrödinger equation: long-time dynamics on the half-line. Zbl 1417.35054
Guo, Boling; Liu, Nan
1
2019
A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation. Zbl 1417.37252
Geng, Xianguo; Zhai, Yunyun; Xue, Bo; Wei, Jiao
1
2019
The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble. Zbl 1417.15052
Lyu, Shulin; Griffin, James; Chen, Yang
1
2019
Solving the constrained modified KP hierarchy by gauge transformations. Zbl 1417.35166
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
1
2019
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”. Zbl 1417.81124
Calogero, Francesco; Leyvraz, François
1
2019
A construction of multidimensional Dubrovin-Novikov brackets. Zbl 1462.37078
Strachan, Ian A. B.
1
2019
Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions. Zbl 1461.35153
Sarrico, C. O. R.
1
2019
Bilinear identities for the constrained modified KP hierarchy. Zbl 1462.35331
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
1
2019
Differential equations invariant under conditional symmetries. Zbl 1462.35337
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
1
2019
Symmetry and integrability for stochastic differential equations. Zbl 1411.35293
Gaeta, G.; Lunini, C.
8
2018
The gauge transformation of the modified KP hierarchy. Zbl 1420.35285
Cheng, Jipeng
4
2018
Rosenhain-thomae formulae for higher genera hyperelliptic curves. Zbl 1420.14069
Eilers, Keno
4
2018
Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061
Rogers, Colin; Clarkson, Peter A.
4
2018
Supersymmetric Sawada-Kotera equation: Bäcklund-Darboux transformations and applications. Zbl 1417.35173
Mao, Hui; Liu, Q. P.; Xue, Lingling
3
2018
Morphisms cohomology and deformations of Hom-algebras. Zbl 1417.22010
Arfa, Anja; Ben Fraj, Nizar; Makhlouf, Abdenacer
3
2018
Meromorphic and formal first integrals for the Lorenz system. Zbl 1420.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
3
2018
Conservation laws of the generalized Riemann equations. Zbl 1420.35158
Gao, Binfang; Tian, Kai; Liu, Q. P.; Feng, Lujuan
3
2018
Lie point symmetries and ODEs passing the Painlevé test. Zbl 1417.34211
Levi, D.; Sekera, D.; Winternitz, P.
2
2018
Riemann-Hilbert approach and \(N\)-soliton formula for a higher-order Chen-Lee-Liu equation. Zbl 1417.35180
Hu, Juan; Xu, Jian; Yu, Guo-Fu
2
2018
On decomposition of the ABS lattice equations and related Bäcklund transformations. Zbl 1420.35302
Zhang, Danda; Zhang, Da-Jun
2
2018
Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. Zbl 1420.35391
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
2
2018
Integrability conditions for complex homogeneous kukles systems. Zbl 1417.34069
Giné, Jaume; Valls, Claudia
1
2018
The description of reflection coefficients of the scattering problems for finding solutions of the Korteweg-de Vries equations. Zbl 1417.37244
Vu, Pham Loi
1
2018
Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings. Zbl 1419.34063
Calogero, Francesco
1
2018
Hopf magnetic curves in the anti-de Sitter space \(\mathbb{H}^3_1\). Zbl 1417.53084
Calvaruso, Giovanni; Munteanu, Marian Ioan
1
2018
The number of independent traces and supertraces on the symplectic reflection algebra \(H_{1,\eta} (\Gamma\wr S_N)\). Zbl 1417.17023
Konstein, S. E.; Tyutin, I. V.
1
2018
Further Riccati differential equations with elliptic coefficients and meromorphic solutions. Zbl 1417.34208
Guillot, Adolfo
1
2018
Singular Hartree equation in fractional perturbed Sobolev spaces. Zbl 1417.35182
Michelangeli, Alessandro; Olgiati, Alessandro; Scandone, Raffaele
1
2018
Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. Zbl 1417.81136
Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M.
1
2018
On the discretization of Laine equations. Zbl 1420.35303
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
1
2018
Nonlocal symmetries of Plebański’s second heavenly equation. Zbl 1411.58007
Lelito, Aleksandra; Morozov, Oleg I.
1
2018
Magnetic curves in \(\mathrm{Sol}_3\). Zbl 1411.53012
Erjavec, Zlatko; Inoguchi, Jun-ichi
1
2018
Bilinear identities and Hirota’s bilinear forms for the \((\gamma_n,\sigma_k)\)-KP hierarchy. Zbl 1411.35237
Yao, Yuqin; Zhang, Juhui; Lin, Runliang; Liu, Xiaojun; Huang, Yehui
1
2018
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. I: Auxiliary system and fundamental properties. Zbl 1411.37057
Yanovski, A. B.; Valchev, T. I.
1
2018
The multiplication of distributions in the study of a Riemann problem in fluid dynamics. Zbl 1421.76150
Sarrico, C. O. R.; Paiva, A.
11
2017
Riemann-Hilbert method and \(N\)-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
9
2017
Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation. Zbl 1420.35298
Wang, Xiu-Bin; Tian, Shou-Fu; Qin, Chun-Yan; Zhang, Tian-Tian
5
2017
Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling. Zbl 1420.35384
Vakhnenko, Oleksiy O.
4
2017
Primary branch solutions of first order autonomous scalar partial differential equations via Lie symmetry approach. Zbl 1420.35025
Lou, S. Y.; Yao, Ruo Xia
4
2017
Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. Zbl 1420.35080
Michelangeli, Alessandro; Olgiati, Alessandro
4
2017
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Zbl 1420.35015
Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K.
3
2017
On Lie-point symmetries for Ito stochastic differential equations. Zbl 1420.60068
Gaeta, G.; Lunini, C.
3
2017
Variational symmetries and pluri-Lagrangian systems in classical mechanics. Zbl 1421.70031
Petrera, Matteo; Suris, Yuri B.
3
2017
On the oscillons in the signum-Gordon model. Zbl 1420.35148
Świerczyński, Z.
2
2017
Bilinearization and soliton solutions of \(N=1\) supersymmetric coupled dispersionless integrable system. Zbl 1420.37081
Mirza, Arifa; Ul Hassan, Mahmood
2
2017
New C-integrable and S-integrable systems of nonlinear partial differential equations. Zbl 1420.35306
Calogero, Francesco
2
2017
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
2
2017
On hybrid Ermakov-Painlevé systems. Integrable reduction. Zbl 1420.34108
Rogers, Colin
2
2017
Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations. Zbl 1420.37060
Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
2
2017
Explicit integration of a generic Hénon-Heiles system with quartic potential. Zbl 1420.37042
Sottocornola, Nicola
2
2017
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems. Zbl 1420.34055
Llibre, Jaume; Valls, Clàudia
2
2017
Bäcklund transformations between four Lax-integrable 3D equations. Zbl 1420.37105
Morozov, Oleg I.; Pavlov, Maxim V.
2
2017
2D reductions of the equation \(u_{yy} = u_{tx} + u_y u_{xx} - u_x u_{xy}\) and their nonlocal symmetries. Zbl 1420.35024
Holba, P.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P.
2
2017
The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra. Zbl 1420.37084
Rad, Anahita Eslami; Magnot, Jean-Pierre; Reyes, Enrique G.
2
2017
Miura and auto-Backlund transformations for the \(q\)-deformed KP and \(q\)-deformed modified KP hierarchies. Zbl 1420.35284
Cheng, Jipeng
1
2017
Nonlocal symmetries and conservation laws of the sinh-Gordon equation. Zbl 1421.35225
Tang, Xiao-Yan; Liang, Zu-Feng
1
2017
The determinant representation of an \(N\)-fold Darboux transformation for the short pulse equation. Zbl 1420.35293
Liu, Shuzhi; Wang, Lihong; Liu, Wei; Qiu, Deqin; He, Jingsong
1
2017
Ideals generated by traces or by supertraces in the symplectic reflection algebra \(H_{1,\nu}(I_2(2m + 1))\). Zbl 1422.16030
Konstein, S. E.; Tyutin, I. V.
1
2017
On the Darboux integrability of a three-dimensional forced-damped differential system. Zbl 1420.37040
Llibre, Jaume; Oliveira, Regilene; Valls, Claudia
1
2017
New properties of the Zeros of Krall polynomials. Zbl 1420.33001
Bihun, Oksana
1
2017
Liouville integrability of conservative peakons for a modified CH equation. Zbl 1420.35283
Chang, Xiangke; Szmigielski, Jacek
1
2017
Solutions of the buoyancy-drag equation with a time-dependent acceleration. Zbl 1420.37114
Bouquet, Serge E.; Conte, Robert; Kelsch, Vincent; Louvet, Fabien
1
2017
Symmetry constraint of the differential-difference KP hierarchy and a second discretization of the ZS-AKNS system. Zbl 1420.35288
Chen, Kui; Deng, Xiao; Zhang, Da-Jun
1
2017
On modulated NLS-Ermakov systems. Zbl 1420.35379
Rogers, Colin; Chow, Kwok
1
2017
The heptagon-wheel cocycle in the Kontsevich graph complex. Zbl 1420.53084
Buring, Ricardo; Kiselev, Arthemy V.; Rutten, Nina J.
1
2017
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube. Zbl 1420.37064
Gubbiotti, G.; Scimiterna, C.; Levi, D.
5
2016
On the dynamics of a class of rational Kolmogorov systems. Zbl 1420.34053
Boukoucha, Rachid; Bendjeddou, Ahmed
3
2016
Parameterless discrete Painlevé equations and their Miura relations. Zbl 1420.34105
Grammaticos, B.; Ramani, A.
3
2016
Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line. Zbl 1420.37107
Xu, Jian
3
2016
Darboux transformations of the supersymmetric BKP hierarchy. Zbl 1420.37050
Li, Chuanzhong
3
2016
Semi-discrete hyperbolic equations admitting five dimensional characteristic \(x\)-ring. Zbl 1420.37098
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
3
2016
On integrability of the Szekeres system. I. Zbl 1420.37039
Gierzkiewicz, Anna; Golda, Zdzisław A.
3
2016
Ermakov-modulated nonlinear Schrödinger models. Integrable reduction. Zbl 1420.34064
Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi
2
2016
Conservation laws and optimal system of extended quantum Zakharov-Kuznetsov equation. Zbl 1420.35071
Jiang, Yao-Lin; Lu, Yi; Chen, Cheng
2
2016
Novel solvable many-body problems. Zbl 1421.70017
Bihun, Oksana; Calogero, Francesco
2
2016
Integrable systems from inelastic curve flows in 2- and 3- dimensional Minkowski space. Zbl 1420.37102
Alkan, Kivilcim; Anco, Stephen C.
2
2016
Derivation of generalized Camassa-Holm equations from Boussinesq-type equations. Zbl 1420.35065
Erbay, H. A.; Erbay, S.; Erkip, A.
2
2016
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Cited by 3,453 Authors

71 Leach, Peter Gavin Lawrence
60 Calogero, Francesco A.
48 Kim, Taekyun
36 Guha, Partha
34 Bai, Chengming
33 Nucci, Maria Clara
30 Mahomed, Fazal M.
26 Kara, Abdul Hamid
25 Ma, Wen-Xiu
25 Wazwaz, Abdul-Majid Abdul-Rahman
24 Gandarias Núñez, Maria Luz
24 Tsyganov, Andreĭ Vladimirovich
24 Yin, Zhaoyang
22 Ghose Choudhury, Anindya
22 Llibre, Jaume
21 Escher, Joachim
21 Gaeta, Giuseppe
20 Constantin, Adrian
20 Ionescu-Kruse, Delia
20 Senthilvelan, Murugaian
19 Bruzón, Maria Santos
19 Martin, Calin-Iulian
18 Araci, Serkan
17 Hsu, Hung-Chu
17 Lakshmanan, Muthusamy
17 Simsek, Yilmaz
16 Khalique, Chaudry Masood
16 Kudryashov, Nikolaĭ Alekseevich
16 Liu, Yue
16 Oberlack, Martin
16 Ryoo, Cheon Seoung
16 Valls Anglés, Cláudia
15 Acikgoz, Mehmet
15 Chandrasekar, V. K.
15 Euler, Norbert
15 Lenells, Jonatan
15 Levi, Decio
15 Prykarpatsky, Anatoliy Karolevych
15 Tian, Lixin
14 Matioc, Bogdan-Vasile
14 Sheng, Yunhe
13 Euler, Marianna
13 Freire, Igor Leite
13 Hu, Xingbiao
13 Ivanov, Rossen I.
13 Leyvraz, Francois
12 Carillo, Sandra
12 Govinder, Keshlan Sathasiva
12 Gubbiotti, Giorgio
12 Kolev, Boris
12 Paliathanasis, Andronikos
12 Pickering, Andrew
12 Qadir, Asghar
12 Qu, Changzheng
12 Sinelshchikov, Dmitry I.
12 Sophocleous, Christodoulos
12 Tian, Shoufu
11 Anco, Stephen C.
11 Biswas, Anjan
11 Błaszak, Maciej
11 Bracken, Paul Francis
11 Cariñena, José F.
11 Ehrnström, Mats
11 Guo, Boling
11 He, Jingsong
11 Joshi, Nalini
11 Mu, Chunlai
11 Zhang, Dajun
10 Bauer, Martin
10 Cheng, Jipeng
10 Geyer, Anna
10 Gordoa, Pilar Ruiz
10 Grundland, Alfred Michel
10 Guo, Zhengguang
10 Himonas, A. Alexandrou
10 Lee, Hui Young
10 Leites, Dimitry A.
10 Liu, Zhengrong
10 Muriel, Concepción
10 Özer, Teoman
10 Rañada, Manuel F.
10 Raynaud, Xavier
10 Shen, Chunyu
10 Smirnov, Yury G.
9 Andriopoulos, Kostis
9 Basdouri, Imed
9 Bihun, Oksana
9 Boutet de Monvel, Anne Marie
9 Estévez, Pilar G.
9 Fan, Engui
9 Farwig, Reinhard
9 Guo, Li
9 Hone, Andrew N. W.
9 Jung, Nam Soon
9 Li, Jibin
9 Liu, Hailiang
9 Mi, Yongsheng
9 Naeem, Imran
9 Petrera, Matteo
9 Rim, Seog-Hoon
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Cited in 428 Journals

308 Journal of Nonlinear Mathematical Physics
266 Journal of Mathematical Physics
106 Theoretical and Mathematical Physics
101 Journal of Mathematical Analysis and Applications
101 Applied Mathematics and Computation
96 Journal of Geometry and Physics
89 Journal of Differential Equations
70 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
66 Communications in Nonlinear Science and Numerical Simulation
61 Nonlinear Analysis. Real World Applications
60 Abstract and Applied Analysis
58 Advances in Difference Equations
51 Chaos, Solitons and Fractals
50 Letters in Mathematical Physics
48 International Journal of Geometric Methods in Modern Physics
46 Applied Mathematics Letters
46 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
45 Nonlinear Dynamics
42 Applicable Analysis
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39 Communications in Mathematical Physics
38 Physica D
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29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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27 Mathematical Methods in the Applied Sciences
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23 Journal of Physics A: Mathematical and Theoretical
22 Acta Applicandae Mathematicae
20 Archive for Rational Mechanics and Analysis
20 Communications in Algebra
19 Wave Motion
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17 Advances in Mathematics
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15 International Journal of Modern Physics B
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15 Proceedings of the American Mathematical Society
15 Differential Geometry and its Applications
14 Journal of Engineering Mathematics
14 Nonlinearity
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13 Journal of Fluid Mechanics
13 Russian Journal of Mathematical Physics
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13 Mathematical Physics, Analysis and Geometry
13 Journal of High Energy Physics
13 Discrete and Continuous Dynamical Systems. Series S
12 International Journal of Theoretical Physics
12 Annali di Matematica Pura ed Applicata. Serie Quarta
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11 Nuclear Physics. B
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Mathematics and Computers in Simulation
11 Communications in Partial Differential Equations
11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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8 Acta Mechanica
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8 Quaestiones Mathematicae
8 Calculus of Variations and Partial Differential Equations
8 Advances in Applied Clifford Algebras
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Discrete Dynamics in Nature and Society
8 Differential Equations
8 Journal of Evolution Equations
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8 Journal of Algebra and its Applications
8 Science China. Mathematics
7 Mathematische Annalen
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Mathematical and Computer Modelling
7 Mediterranean Journal of Mathematics
7 Boundary Value Problems
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