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Journal of Nonlinear Mathematical Physics

Short Title: J. Nonlinear Math. Phys.
Publisher: Springer Nature Switzerland, Basel
ISSN: 1402-9251; 1776-0852/e
Online: https://link.springer.com/journal/44198/volumes-and-issues
https://www.atlantis-press.com/journals/jnmp
https://www.tandfonline.com/loi/tnmp20
https://www.worldscientific.com/loi/jnmp
Predecessor: Journal of Nonlinear Mathematical Physics
Comments: Journal; Indexed cover-to-cover; This journal is available open access.
Documents Indexed: 1,393 Publications (since 1998)
References Indexed: 1,274 Publications with 27,800 References.
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Latest Issues

31, No. 1 (2024)
30, No. 4 (2023)
30, No. 3 (2023)
30, No. 2 (2023)
30, No. 1 (2023)
29, No. 4 (2022)
29, No. 3 (2022)
29, No. 2 (2022)
29, No. 1 (2022)
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19, Suppl. 1 (2012)
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18, Suppl. 1 (2011)
17, No. 4 (2010)
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17, Suppl. 1 (2010)
16, No. 4 (2009)
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16, Suppl. 1 (2009)
15, No. 4 (2008)
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15, Suppl. 3 (2008)
15, Suppl. 2 (2008)
15, Suppl. 1 (2008)
14, No. 1-4 (2007)
13, No. 1-4 (2006)
13, Suppl. 1 (2006)
12, No. 4 (2005)
12, No. 3 (2005)
12, No. 2 (2005)
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12, Suppl. 2 (2005)
12, Suppl. 1 (2005)
11, No. 4 (2004)
11, No. 3 (2004)
11, No. 2 (2004)
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11, Suppl. 1 (2004)
10, No. 4 (2003)
10, No. 3 (2003)
10, No. 2 (2003)
10, No. 1 (2003)
10, Suppl. 2 (2003)
10, Suppl. 1 (2003)
9, No. 4 (2002)
9, No. 3 (2002)
9, No. 2 (2002)
9, No. 1 (2002)
9, Suppl. 2 (2002)
...and 16 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 Cheng, Jipeng
11 Grammaticos, Basil
11 Mahomed, Fazal M.
11 Ramani, Alfred
10 Leyvraz, Francois
10 Qiao, Zhijun
9 Grundland, Alfred Michel
9 Guha, Partha
9 Leites, Dimitry A.
9 Prykarpatsky, Anatoliy Karolevych
9 Rogers, Colin
8 Estévez, Pilar G.
8 Gandarias Núñez, Maria Luz
8 Ruijsenaars, Simon N. M.
7 Conte, Robert Maurice
7 Geng, Xianguo
7 He, Jingsong
7 Hu, Xingbiao
7 Lakshmanan, Muthusamy
7 Levi, Decio
7 Perelomov, Askold M.
7 Vekslerchik, Vadym Yevgenovych
7 Zhang, Dajun
6 Azami, Shahroud
6 Blackmore, Denis L.
6 Constantin, Adrian
6 Fan, Engui
6 Grebenev, Vladimir N.
6 Henry, David
6 Li, Chuanzhong
6 Meleshko, Sergey V.
6 Morozov, Oleg I.
6 Muriel, Concepción
6 Oberlack, Martin
6 Tyutin, Igor Viktorovich
6 Wang, Yong
6 Zeng, Yunbo
5 Anco, Stephen C.
5 Andriopoulos, Kostis
5 Bihun, Oksana
5 Bouarroudj, Sofiane
5 Bruzón, Maria Santos
5 Chandrasekar, V. K.
5 Fokas, Athanassios S.
5 Françoise, Jean-Pierre
5 Gubbiotti, Giorgio
5 Hwang, Guenbo
5 Ionescu-Kruse, Delia
5 Khalique, Chaudry Masood
5 Kolev, Boris
5 Lenells, Jonatan
5 Lin, Runliang
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 Tian, Shoufu
5 Veselov, Alexander Petrovich
5 Yu, Guofu
4 Bouzeffour, Fethi
4 Bracken, Paul Francis
4 Cadoni, Mariano
4 Chen, Huizhan
4 Clarkson, Peter A.
4 De Lillo, Silvana
4 Ehrnström, Mats
4 Gegenhasi
4 Geng, Lumin
4 Giné, Jaume
4 Hone, Andrew N. W.
4 Hounkonnou, Mahouton Norbert
4 Ivanov, Rossen I.
4 Johnson, Robin Stanley
4 Konopelchenko, Boris Georgievich
4 Leznov, Andreĭ Nikolaevich
4 Li, Chunxia
4 Li, Jing
4 Liu, Qingping
4 Mason, David Paul
4 Mei, Jianqin
4 Musette, Micheline
4 Özer, Teoman
4 Petrera, Matteo
4 Prykarpatsky, Yarema Anatoliyovych
4 Rodríguez, Miguel Angel
4 Senthilvelan, Murugaian
4 Sommacal, Matteo
...and 1,490 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

1,016 Publications have been cited 6,559 times in 4,982 Documents Cited by Year
Fractional \(q\)-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
93
2007
What a classical \(r\)-matrix really is. Zbl 1015.17015
Kupershmidt, Boris A.
91
1999
On Gerstner’s water wave. Zbl 1362.76009
Henry, David
87
2008
\(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals. Zbl 1158.11009
Kim, Taekyun
82
2007
A variational approach to the stability of periodic peakons. Zbl 1067.35076
Lenells, Jonatan
75
2004
Variational derivation of the Camassa-Holm shallow water equation. Zbl 1157.76005
Ionescu-Kruse, Delia
63
2007
On well-posedness results for Camassa-Holm equation on the line: a survey. Zbl 1069.35076
Molinet, Luc
62
2004
Compactly supported solutions of the Camassa-Holm equation. Zbl 1086.35079
Henry, David
60
2005
A basis of conservation laws for partial differential equations. Zbl 1362.35024
Kara, A. H.; Mahomed, F. M.
53
2002
A note on the Degasperis-Procesi equation. Zbl 1067.35078
Mustafa, Octavian G.
49
2005
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
48
2002
On edge waves in stratified water along a sloping beach. Zbl 1394.76030
Stuhlmeier, Raphael
46
2011
Reflection symmetries of \(q\)-Bernoulli polynomials. Zbl 1362.33021
Kupershmidt, Boris A.
43
2005
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
42
2003
Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier. Zbl 1206.34013
Nucci, M. C.; Tamizhmani, K. M.
41
2010
Adjoint symmetry constraints leading to binary nonlinearization. Zbl 1362.35026
Ma, Wen-Xiu; Zhou, Ruguang
39
2002
The classical problem of water waves: a reservoir of integrable and nearly-integrable equations. Zbl 1362.35264
Johnson, Robin S.
37
2003
Sundman symmetries of nonlinear second-order and third-order ordinary differential equations. Zbl 1075.34033
Euler, Norbert; Euler, Marianna
35
2004
A list of \(1+1\) dimensional integrable equations and their properties. Zbl 1362.37137
Wang, Jing Ping
34
2002
Jacobi last multiplier and Lie symmetries: a novel application of an old relationship. Zbl 1080.34003
Nucci, M. C.
34
2005
On \((q, h)\)-analogue of fractional calculus. Zbl 1189.26006
Čermák, Jan; Nechvátal, Luděk
34
2010
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.
33
2005
Steady water waves. Zbl 1064.35144
Groves, M. D.
32
2004
\(q,k\)-generalized gamma and beta functions. Zbl 1075.33010
Díaz, Rafael; Teruel, Carolina
32
2005
Magnetic curves in Sasakian manifolds. Zbl 1420.53035
Druţă-Romaniuc, Simona Luiza; Inoguchi, Jun-Ichi; Munteanu, Marian Ioan; Nistor, Ana Irina
31
2015
Classification of 3D consistent quad-equations. Zbl 1252.37068
Boll, Raphael
30
2011
Corrigendum: “Classification of 3D consistent quad-equations”. Zbl 1262.37033
Boll, Raphael
30
2012
Coupled KdV equations of Hirota-Satsuma type. Zbl 0947.35142
Sakovich, S. Yu.
29
1999
Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318
Golubchik, I. Z.; Sokolov, V. V.
29
2000
Riemann-Hilbert method and \(N\)-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
29
2017
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
29
2007
On the integrability of a class of nonlinear dispersive wave equations. Zbl 1089.35522
Ivanov, Rossen
27
2005
Lagrangian formulation of a generalized Lane-Emden equation and double reduction. Zbl 1169.34033
Khalique, C. Masood; Mahomed, Fazal M.; Muatjetjeja, Ben
26
2008
\(L_p\)-\(L_q\) decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
25
2004
The Sylvester equation and integrable equations. I: The Korteweg-de Vries system and sine-Gordon equation. Zbl 1420.35299
Xu, Dan-Dan; Zhang, Da-Jun; Zhao, Song-Lin
25
2014
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
25
2007
Lie groups and mechanics: an introduction. Zbl 1069.35070
Kolev, Boris
24
2004
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
24
2003
On the propagation of vector ultra-short pulses. Zbl 1172.35502
Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe
24
2008
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
24
2005
On the Cauchy problem for a nonlinearly dispersive wave equation. Zbl 1021.35100
Yin, Zhaoyang
24
2003
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
23
2005
Wave breaking in a class of nonlocal dispersive wave equations. Zbl 1110.35069
Liu, Hailiang
23
2006
On the nature of the Virasoro algebra. Zbl 1015.17027
Kupershmidt, Boris A.
22
1999
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
22
2005
Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves. Zbl 1245.76009
Henry, David
22
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
22
2010
The Kaldor-Kalecki model of business cycle as a two-dimensional dynamical system. Zbl 0989.90099
Szydłowski, Marek; Krawiec, Adam
21
2001
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
21
2003
Rota-Baxter operators on pre-Lie algebras. Zbl 1203.17016
Li, Xiuxian; Hou, Dongping; Bai, Chengming
21
2007
Invariant linearization criteria for systems of cubically nonlinear second-order ordinary differential equations. Zbl 1190.34045
Mahomed, F. M.; Qadir, Asghar
21
2009
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
21
2005
Solitary traveling water waves of moderate amplitude. Zbl 1362.76017
Geyer, Anna
21
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
21
2009
Deformations of modules of differential forms. Zbl 1030.17022
Agrebaoui, B.; Ben Ammar, M.; Ben Fraj, N.; Ovsienko, V.
21
2003
Classical and nonclassical symmetries of a generalized Boussinesq equation. Zbl 0944.35084
Gandarias, M. L.; Bruzon, M. S.
20
1998
Hamiltonian structure and linear stability of solitary waves of the Green-Naghdi equations. Zbl 1362.35079
Li, Yi A.
20
2002
Euler-Poincaré formalism of (two component) Degasperis-Procesi and Holm-Staley type systems. Zbl 1165.35032
Guha, Partha
20
2007
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
20
2008
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
20
2003
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
20
2003
Integrating factors and \(\lambda\)-symmetries. Zbl 1362.34057
Muriel, C.; Romero, J. L.
19
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.
19
2009
A note on \(q\)-Bernoulli numbers and polynomials. Zbl 1109.33024
Hegazi, A. S.; Mansour, M.
19
2006
Painlevé test and higher order differential equations. Zbl 1028.34082
Muğan, Uğurhan; Jrad, Fahd
18
2002
The Maupertuis principle and canonical transformations of the extended phase space. Zbl 0974.35118
Tsiganov, A. V.
18
2001
Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach. Zbl 1420.35297
Tian, Shou-Fu; Zhang, Tian-Tian; Ma, Pan-Li; Zhang, Xing-Yong
18
2015
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.
18
2004
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
18
2005
Nonlinear stability analysis of the Emden-Fowler equation. Zbl 1217.34094
Böhmer, C. G.; Harko, T.
18
2010
Provenance of Type II hidden symmetries from nonlinear partial differential equations. Zbl 1110.35321
Abraham-Shrauner, Barbara; Govinder, Keshlan S.
18
2006
On integrability of a \((2+1)\)-dimensional perturbed KdV equation. Zbl 0946.35092
Sakovich, S. Yu.
17
1998
The Heun equation and the Calogero-Moser-Sutherland system. III: The finite-gap property and the monodromy. Zbl 1087.81028
Takemura, Kouichi
17
2004
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
17
2002
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
17
2002
Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus’ and Carnot’s theorems. Zbl 1362.39013
Schief, Wolfgang Karl
17
2003
Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations. Zbl 1420.35127
Hashemi, M. S.; Nucci, M. C.
17
2013
Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples. Zbl 1100.42015
Castro, Mirta M.; Grünbaum, F. Alberto
17
2005
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
17
2005
Analogs of the orthogonal, Hamiltonian, Poisson, and contact Lie superalgebras in characteristic 2. Zbl 1362.17031
Lebedev, Alexei
17
2010
Application of the generalised Sundman transformation to the linearisation of two second-order ordinary differential equations. Zbl 1362.34007
Moyo, Sibusiso; Meleshko, Sergey V.
17
2011
On constant vorticity flows beneath two-dimensional surface solitary waves. Zbl 1362.76019
Stuhlmeier, Raphael
17
2012
On bi-integrable natural Hamiltonian systems on Riemannian manifolds. Zbl 1221.37113
Tsiganov, A. V.
17
2011
Symbolic software for the Painlevé test of nonlinear ordinary and partial differential equations. Zbl 1110.35300
Baldwin, Douglas; Hereman, Willy
17
2006
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain \((2+1)\)-dimensional nonlinear evolution equations. Zbl 1119.37324
Senthil Velan, M.; Lakshmanan, M.
16
1998
\(q\)-probability. I: Basic discrete distributions. Zbl 0951.60017
Kupershmidt, Boris A.
16
2000
Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. Zbl 1362.39018
van Assche, Walter; Foupouagnigni, Mama
16
2003
Magnetic fields in 2D and 3D sphere. Zbl 1420.53032
Cabrerizo, Jose L.
16
2013
Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations. Zbl 1420.35064
Yilmaz, Halis
16
2015
A generalization of the sine-Gordon equation to 2+1 dimensions. Zbl 1067.35086
Estévez, P. G.; Prada, J.
16
2004
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
Complete invariant characterization of scalar linear \((1+1)\) parabolic equations. Zbl 1362.35306
Mahomed, Fazal M.
16
2008
Conservation laws for self-adjoint first-order evolution equation. Zbl 1219.35228
Freire, Igor Leite
16
2011
First integrals generated by pseudosymmetries in Nambu-Poisson mechanics. Zbl 1119.37317
Crâşmăreanu, Mircea
15
2000
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
15
2001
Bihamiltonian geometry and separation of variables for Toda lattices. Zbl 0981.37018
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
15
2001
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
15
2004
Symmetry and integrability for stochastic differential equations. Zbl 1411.35293
Gaeta, G.; Lunini, C.
15
2018
Is my ODE a Painlevé equation in disguise? Zbl 1362.34129
Hietarinta, Jarmo; Dryuma, Valery
15
2002
Internal equatorial water waves in the \(f\)-plane. Zbl 1421.76034
Henry, David
15
2015
Existence of radial weak solutions to Steklov problem involving Leray-Lions type operator. Zbl 1509.35120
Razani, A.; Safari, F.
5
2023
Terminal value problems of non-homogeneous fractional linear systems with general memory kernels. Zbl 1509.34017
Wu, Guo-Cheng; Shiri, Babak; Fan, Qin; Feng, Hua-Rong
4
2023
Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections. Zbl 1509.58003
Azami, Shahroud
3
2023
A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. Zbl 1509.35287
Sun, Shi-Fei; Li, Biao
2
2023
Classification of Hamiltonian non-abelian Painlevé type systems. Zbl 1519.37072
Bobrova, Irina; Sokolov, Vladimir
2
2023
Dynamic transition analysis for activator-substrate system. Zbl 1523.37094
Li, Junyan; Wu, Ruili
1
2023
Persistence of kink and periodic waves to singularly perturbed two-component Drinfel’d-Sokolov-Wilson system. Zbl 1523.35255
Huang, Zihong; Wen, Zhenshu
1
2023
Generalized Ricci solitons on non-reductive four-dimensional homogeneous spaces. Zbl 1523.53055
Azami, Shahroud; Fasihi-Ramandi, Ghodratallah; Pirhadi, Vahid
1
2023
\(p\)-adic cellular neural networks. Zbl 1509.68237
Zambrano-Luna, B. A.; Zúñiga-Galindo, W. A.
1
2023
Algebro-geometric constructions of a hierarchy of integrable semi-discrete equations. Zbl 1509.37096
Zhao, Qiulan; Li, Caixue; Li, Xinyue
1
2023
Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions. Zbl 1509.65066
Ali, Ihteram; Haq, Sirajul; Ullah, Rahman; Arifeen, Shams Ul
1
2023
Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions. Zbl 1519.37087
Prinari, Barbara
1
2023
A study of conformal \(\eta \)-Einstein solitons on trans-Sasakian 3-manifold. Zbl 1519.53080
Li, Yanlin; Mondal, Somnath; Dey, Santu; Bhattacharyya, Arindam; Ali, Akram
1
2023
A Kastler-Kalau-Walze type theorem for the \(J\)-twist \(D_J\) of the Dirac operator. Zbl 1519.58016
Liu, Siyao; Wang, Yong
1
2023
A note on function space and boundedness of the general fractional integral in continuous time random walk. Zbl 1486.26009
Fan, Qin; Wu, Guo-Cheng; Fu, Hui
12
2022
Perfect fluid spacetimes and gradient solitons. Zbl 1502.53101
De, Krishnendu; De, Uday Chand; Syied, Abdallah Abdelhameed; Turki, Nasser Bin; Alsaeed, Suliman
5
2022
Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary. Zbl 1486.58016
Wu, Tong; Wang, Jian; Wang, Yong
3
2022
Almost cosymplectic \((k,\mu )\)-metrics as \(\eta \)-Ricci solitons. Zbl 1486.53106
Wang, Wenjie
3
2022
Global well-posedness for the 3D axisymmetric Hall-MHD system with horizontal dissipation. Zbl 1502.35121
Li, Zhouyu; Cui, Meiying
2
2022
Eigenvalues of a class of eigenparameter dependent third-order differential operators. Zbl 1497.34117
Bai, Yulin; Wang, Wanyi; Li, Kun; Zheng, Zhaowen
2
2022
The nth-Darboux transformation and explicit solutions of the PT-symmetry second-type derivative nonlinear Schrödinger equation. Zbl 1497.37090
Zhou, Siqi; Liu, Jiapeng; Chen, Siran; Yao, Yuqin
2
2022
Gauss-Bonnet theorem in the universal covering group of Euclidean motion group \(E(2)\) with the general left-invariant metric. Zbl 1497.53071
Li, Wanzhen; Liu, Haiming
2
2022
Hasimoto maps for nonlinear Schrödinger equations in Minkowski space. Zbl 1502.35152
Gürbüz, Nevin Ertug; Yüzbası, Zühal Küçükarslan; Yoon, Dae Won
1
2022
Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions. Zbl 1502.34099
Qin, Jianfang; Li, Kun; Zheng, Zhaowen; Cai, Jinming
1
2022
Lie bialgebroid of pseudo-differential operators. Zbl 1502.37074
Eslami Rad, Anahita
1
2022
Periodic solutions and KAM tori for the spatial Maxwell restricted \(N+1\)-body problem with Manev potential. Zbl 1502.70025
Ascencio, Mauricio; Vidal, Claudio
1
2022
Global existence and blow-up for the pseudo-parabolic \(p(x)\)-Laplacian equation with logarithmic nonlinearity. Zbl 1486.35283
Zeng, Fugeng; Deng, Qigang; Wang, Dongxiu
1
2022
A different view on dynamics of space curves geometry. Zbl 1486.53008
Tunçer, Yılmaz
1
2022
Subharmonic bifurcation for a non-smooth double pendulum with unilateral impact. Zbl 1497.70009
Guo, Xiu-ying; Zhang, Gang; Tian, Rui-lan
1
2022
Infinitesimal time reparametrisation and its applications. Zbl 1497.34020
Cariñena, José F.; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.
1
2022
Geometric perturbation theory and travelling waves profiles analysis in a Darcy-Forchheimer fluid model. Zbl 1497.35386
Palencia, J. L. Díaz; Rahman, S.
1
2022
The Kastler-Kalau-Walze type theorems for the perturbation of the de Rham Hodge operator. Zbl 1497.58015
Liu, Siyao; Wu, Tong; Wang, Yong
1
2022
Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions. Zbl 1497.35416
Zhao, Yi; Fan, Engui
10
2021
Symmetries, conservation laws, invariant solutions and difference schemes of the one-dimensional Green-Naghdi equations. Zbl 1497.65120
Dorodnitsyn, V. A.; Kaptsov, E. I.; Meleshko, S. V.
8
2021
The orthogonal and symplectic Schur functions, vertex operators and integrable hierarchies. Zbl 1497.37082
Shi, Linjie; Wang, Na; Chen, Minru
7
2021
On Lie symmetry analysis of certain coupled fractional ordinary differential equations. Zbl 1497.34015
Sethukumarasamy, K.; Vijayaraju, P.; Prakash, P.
6
2021
Affine Ricci solitons of three-dimensional Lorentzian Lie groups. Zbl 1497.53147
Wang, Yong
5
2021
On the coupled dispersionless-type equations and the short pulse-type equations. Zbl 1497.35411
Hu, Juan; Ji, Jia-Liang; Yu, Guo-Fu
3
2021
Lie symmetries of the canonical connection: codimension one abelian nilradical case. Zbl 1497.22006
Almusawa, Hassan; Ghanam, Ryad; Thompson, Gerard
3
2021
Analytical properties for the Fifth Order Camassa-Holm (FOCH) model. Zbl 1497.35417
Zhu, Mingxuan; Cao, Lu; Jiang, Zaihong; Qiao, Zhijun
2
2021
On the higher-order inhomogeneous Heisenberg supermagnetic models. Zbl 1482.37067
Han, Rong; Sun, Haichao; Jiang, Nana; Yan, Zhaowen
1
2021
Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics. Zbl 1482.35077
Hu, Beibei; Zhang, Ling; Li, Qinghong; Zhang, Ning
1
2021
Symmetry-preserving difference models of some high-order nonlinear integrable equations. Zbl 1482.65157
Zhao, Zhonglong
1
2021
Focusing NLS equations with nonzero boundary conditions: triangular representations and direct scattering. Zbl 1497.37085
van der Mee, Cornelis
1
2021
On Hermitian and skew-Hermitian matrix algebras over octonions. Zbl 1497.17015
Zohrabi, Arezoo; Zusmanovich, Pasha
1
2021
On Ramsey dynamical model and closed-form solutions. Zbl 1497.37065
Polat, Gülden Gün; Özer, Teoman
1
2021
Statistical de Rham Hodge operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary. Zbl 1497.53039
Wei, Sining; Wang, Yong
1
2021
A local equivariant index theorem for sub-signature operators. Zbl 1497.58013
Bao, Kaihua; Wang, Jian; Wang, Yong
1
2021
Realizations of the Witt and Virasoro algebras and integrable equations. Zbl 1436.17035
Huang, Qing; Zhdanov, Renat
6
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
5
2020
Symmetry reductions and new functional separable solutions of nonlinear Klein-Gordon and telegraph type equations. Zbl 1436.81038
Zhurov, Alexei I.; Polyanin, Andrei D.
4
2020
Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059
Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume
4
2020
Nonautonomous symmetries of the KdV equation and step-like solutions. Zbl 1436.35284
Adler, V. E.
4
2020
Global dynamics of a Lotka-Volterra system in \(\mathbb{R}^3\). Zbl 1436.37027
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
4
2020
Multicomplex solitons. Zbl 1436.35065
Cen, Julia; Fring, Andreas
3
2020
Solutions of the constrained mKP hierarchy by boson-fermion correspondence. Zbl 1436.35285
Chen, Huizhan; Geng, Lumin; Cheng, Jipeng
3
2020
Integrable boundary conditions for the Hirota-Miwa equation and Lie algebras. Zbl 1436.37078
Habibullin, Ismagil; Khakimova, Aigul
3
2020
The group-theoretical analysis of nonlinear optimal control problems with Hamiltonian formalism. Zbl 1436.70003
Gün Polat, Gülden; Özer, Teoman
2
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
2
2020
Elastic null curve flows, nonlinear \(C\)-integrable systems, and geometric realization of Cole-Hopf transformations. Zbl 1436.53079
Küçükarslan Yüzbaşı, Zühal; Anco, Stephen C.
2
2020
On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2
2020
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2
2020
On the discretization of Darboux integrable systems. Zbl 1441.37078
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
2
2020
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation. Zbl 1441.37076
Xu, Xiaoxue; Cao, Cewen; Zhang, Guangyao
2
2020
Decomposition of 2-soliton solutions for the good Boussinesq equations. Zbl 1441.35097
Vatchev, Vesselin
2
2020
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. Zbl 1441.34002
Giné, Jaume; Valls, Claudia
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
Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude. Zbl 1436.35279
Jiang, Bo; Zhou, Youming
1
2020
Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver. Zbl 1436.14059
Görbe, Tamás; Gyenge, Ádám
1
2020
A generalization of the Landau-Lifschitz equation: breathers and rogue waves. Zbl 1436.37086
Li, Ruomeng; Geng, Xianguo; Xue, Bo
1
2020
Induced dynamics. Zbl 1436.37081
Pogrebkov, A. K.
1
2020
Hierarchies of \(q\)-discrete Painlevé equations. Zbl 1436.33019
Alrashdi, Huda; Joshi, Nalini; Tran, Dinh Thi
1
2020
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
1
2020
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system. Zbl 1441.35018
Xia, Yarong; Yao, Ruoxia; Xin, Xiangpeng
1
2020
Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem. Zbl 1441.37080
Huang, Lin
1
2020
Trigonal Toda lattice equation. Zbl 1441.37074
Matsutani, Shigeki
1
2020
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007
Giné, Jaume; Valls, Claudia
11
2019
Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
9
2019
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.
8
2019
Two-component generalizations of the Novikov equation. Zbl 1417.37231
Li, Hongmin
8
2019
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
8
2019
Exact Pollard-like internal water waves. Zbl 1417.74010
Kluczek, Mateusz
8
2019
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
6
2019
Bilinear identities for the constrained modified KP hierarchy. Zbl 1462.35331
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
6
2019
Rational solutions to \(Q3_{\delta}\) in the Adler-Bobenko-Suris list and degenerations. Zbl 1417.37242
Zhao, Song-lin; Zhang, Da-jun
6
2019
Solving the constrained modified KP hierarchy by gauge transformations. Zbl 1417.35166
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
5
2019
A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. Zbl 1418.35330
Rasin, Alexander G.; Schiff, Jeremy
4
2019
Generalized solvable structures and first integrals for ODEs admitting an \(\mathfrak{sl}(2,\mathbb{R})\) symmetry algebra. Zbl 1471.34066
Morando, Paola; Muriel, Concepción; Ruiz, Adrián
4
2019
Differential equations invariant under conditional symmetries. Zbl 1462.35337
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
4
2019
The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble. Zbl 1417.15052
Lyu, Shulin; Griffin, James; Chen, Yang
4
2019
Bilinear identities and squared eigenfunction symmetries of the \(BC_r\)-KP hierarchy. Zbl 1417.35168
Geng, Lumin; Chen, Huizhan; Li, Na; Cheng, Jipeng
3
2019
Integration of the stochastic logistic equation via symmetry analysis. Zbl 1417.60049
Gaeta, Giuseppe
3
2019
An exact solution for geophysical internal waves with underlying current in modified equatorial \(\beta\) -plane approximation. Zbl 1418.86006
Su, Dong; Gao, Hongjun
3
2019
Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions. Zbl 1461.35153
Sarrico, C. O. R.
3
2019
Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 1464.80011
Rogers, Colin
3
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
3
2019
The Riemann-Hilbert problem to coupled nonlinear Schrödinger equation: long-time dynamics on the half-line. Zbl 1417.35054
Guo, Boling; Liu, Nan
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
2
2019
Variational operators, symplectic operators, and the cohomology of scalar evolution equations. Zbl 1418.58006
Fels, M. E.; Yaşar, E.
2
2019
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”. Zbl 1417.81124
Calogero, Francesco; Leyvraz, François
2
2019
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Cited by 4,792 Authors

74 Leach, Peter Gavin Lawrence
70 Calogero, Francesco A.
51 Kim, Taekyun
43 Guha, Partha
41 Bai, Chengming
35 Tian, Shoufu
34 Mahomed, Fazal M.
33 Nucci, Maria Clara
32 Ma, Wen-Xiu
30 Martin, Calin-Iulian
29 Kara, Abdul Hamid
29 Llibre, Jaume
28 Sheng, Yunhe
28 Zhang, Dajun
27 Gandarias Núñez, Maria Luz
26 Gaeta, Giuseppe
26 Ghose Choudhury, Anindya
26 Tsyganov, Andreĭ Vladimirovich
26 Yin, Zhaoyang
24 Henry, David
23 Wazwaz, Abdul-Majid Abdul-Rahman
22 Cheng, Jipeng
22 Escher, Joachim
22 Li, Chuanzhong
22 Senthilvelan, Murugaian
21 Bruzón, Maria Santos
21 Hsu, Hung-Chu
21 Zhang, Tiantian
20 Constantin, Adrian
20 Freire, Igor Leite
20 Ionescu-Kruse, Delia
20 Lakshmanan, Muthusamy
20 Prykarpatsky, Anatoliy Karolevych
20 Valls Anglés, Cláudia
19 Araci, Serkan
19 He, Jingsong
19 Paliathanasis, Andronikos
19 Simsek, Yilmaz
18 Kudryashov, Nikolaĭ Alekseevich
18 Levi, Decio
18 Liu, Yue
18 Meleshko, Sergey V.
18 Muriel, Concepción
18 Qu, Changzheng
18 Tian, Lixin
17 Gubbiotti, Giorgio
17 Khalique, Chaudry Masood
17 Leites, Dimitry A.
17 Ryoo, Cheon Seoung
17 Sinelshchikov, Dmitry I.
16 Chandrasekar, V. K.
16 Guo, Li
16 Inoguchi, Jun-ichi
16 Oberlack, Martin
16 Wang, Xiubin
15 Acikgoz, Mehmet
15 Carillo, Sandra
15 Euler, Norbert
15 Fan, Engui
15 Geng, Xianguo
15 Ivanov, Rossen I.
15 Lenells, Jonatan
15 Liu, Jiefeng
14 Anco, Stephen C.
14 Cariñena, José F.
14 Hu, Xingbiao
14 Leyvraz, Francois
14 Matioc, Bogdan-Vasile
14 Pickering, Andrew
14 Qadir, Asghar
14 Rogers, Colin
14 Sophocleous, Christodoulos
13 Biswas, Anjan
13 Ehrnström, Mats
13 Euler, Marianna
13 Geyer, Anna
13 Guo, Boling
13 Joshi, Nalini
13 Nijhoff, Frank W.
13 Qiao, Zhijun
13 Samei, Mohammad Esmael
12 Bauer, Martin
12 Bouarroudj, Sofiane
12 Bracken, Paul Francis
12 Feng, Baofeng
12 Gordoa, Pilar Ruiz
12 Hone, Andrew N. W.
12 Jang, Lee-Chae
12 Kolev, Boris
12 Smirnov, Yury G.
12 Yan, Zhaowen
12 Zhang, Yi
11 Băleanu, Dumitru I.
11 Basdouri, Imed
11 Błaszak, Maciej
11 Estévez, Pilar G.
11 Farwig, Reinhard
11 Govinder, Keshlan Sathasiva
11 Khakimov, Rustam M.
11 Kim, Young Hee
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Cited in 543 Journals

390 Journal of Nonlinear Mathematical Physics
318 Journal of Mathematical Physics
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32 Nonlinearity
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26 Communications in Theoretical Physics
24 Computers & Mathematics with Applications
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