# zbMATH — the first resource for mathematics

## 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/tnmp20https://www.worldscientific.com/loi/jnmphttps://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

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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)

#### Citations contained in zbMATH Open

851 Publications have been cited 4,585 times in 3,585 Documents Cited by Year
On Gerstner’s water wave. Zbl 1362.76009
Henry, David
2008
$$q$$-Euler numbers and polynomials associated with $$p$$-adic $$q$$-integrals. Zbl 1158.11009
Kim, Taekyun
2007
A variational approach to the stability of periodic peakons. Zbl 1067.35076
Lenells, Jonatan
2004
Fractional $$q$$-calculus on a time scale. Zbl 1157.81315
Atici, Ferhan M.; Eloe, Paul W.
2007
Variational derivation of the Camassa-Holm shallow water equation. Zbl 1157.76005
Ionescu-Kruse, Delia
2007
On well-posedness results for Camassa-Holm equation on the line: a survey. Zbl 1069.35076
Molinet, Luc
2004
Compactly supported solutions of the Camassa-Holm equation. Zbl 1086.35079
Henry, David
2005
A note on the Degasperis-Procesi equation. Zbl 1067.35078
Mustafa, Octavian G.
2005
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
2002
What a classical $$r$$-matrix really is. Zbl 1015.17015
Kupershmidt, Boris A.
1999
A basis of conservation laws for partial differential equations. Zbl 1362.35024
Kara, A. H.; Mahomed, F. M.
2002
Reflection symmetries of $$q$$-Bernoulli polynomials. Zbl 1362.33021
Kupershmidt, Boris A.
2005
On edge waves in stratified water along a sloping beach. Zbl 1394.76030
Stuhlmeier, Raphael
2011
Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier. Zbl 1206.34013
Nucci, M. C.; Tamizhmani, K. M.
2010
Adjoint symmetry constraints leading to binary nonlinearization. Zbl 1362.35026
Ma, Wen-Xiu; Zhou, Ruguang
2002
A list of $$1+1$$ dimensional integrable equations and their properties. Zbl 1362.37137
Wang, Jing Ping
2002
The classical problem of water waves: a reservoir of integrable and nearly-integrable equations. Zbl 1362.35264
Johnson, Robin S.
2003
Sundman symmetries of nonlinear second-order and third-order ordinary differential equations. Zbl 1075.34033
Euler, Norbert; Euler, Marianna
2004
Jacobi last multiplier and Lie symmetries: a novel application of an old relationship. Zbl 1080.34003
Nucci, M. C.
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
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.
2005
Coupled KdV equations of Hirota-Satsuma type. Zbl 0947.35142
Sakovich, S. Yu.
1999
On the integrability of a class of nonlinear dispersive wave equations. Zbl 1089.35522
Ivanov, Rossen
2005
On the Cauchy problem for a nonlinearly dispersive wave equation. Zbl 1021.35100
Yin, Zhaoyang
2003
Lagrangian formulation of a generalized Lane-Emden equation and double reduction. Zbl 1169.34033
Khalique, C. Masood; Mahomed, Fazal M.; Muatjetjeja, Ben
2008
A method for $$q$$-calculus. Zbl 1041.33013
Ernst, Thomas
2003
Wave breaking in a class of nonlocal dispersive wave equations. Zbl 1110.35069
Liu, Hailiang
2006
On $$(q, h)$$-analogue of fractional calculus. Zbl 1189.26006
Čermák, Jan; Nechvátal, Luděk
2010
Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318
Golubchik, I. Z.; Sokolov, V. V.
2000
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
2007
Deformations of modules of differential forms. Zbl 1030.17022
Agrebaoui, B.; Ben Ammar, M.; Ben Fraj, N.; Ovsienko, V.
2003
Classification of 3D consistent quad-equations. Zbl 1252.37068
Boll, Raphael
2011
On the geodesic flow on the group of diffeomorphisms of the circle with a fractional Sobolev right-invariant metric. Zbl 1200.58009
Wunsch, Marcus
2010
Invariant linearization criteria for systems of cubically nonlinear second-order ordinary differential equations. Zbl 1190.34045
Mahomed, F. M.; Qadir, Asghar
2009
Steady water waves. Zbl 1064.35144
Groves, M. D.
2004
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
2005
Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves. Zbl 1245.76009
Henry, David
2007
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
2005
$$L_p$$-$$L_q$$ decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
2004
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
2003
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2005
A note on $$q$$-Bernoulli numbers and polynomials. Zbl 1109.33024
Hegazi, A. S.; Mansour, M.
2006
Classical and nonclassical symmetries of a generalized Boussinesq equation. Zbl 0944.35084
Gandarias, M. L.; Bruzon, M. S.
1998
On the nature of the Virasoro algebra. Zbl 1015.17027
Kupershmidt, Boris A.
1999
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
2005
Hamiltonian structure and linear stability of solitary waves of the Green-Naghdi equations. Zbl 1362.35079
Li, Yi A.
2002
The Kaldor-Kalecki model of business cycle as a two-dimensional dynamical system. Zbl 0989.90099
Szydłowski, Marek; Krawiec, Adam
2001
Lie groups and mechanics: an introduction. Zbl 1069.35070
Kolev, Boris
2004
On bi-integrable natural Hamiltonian systems on Riemannian manifolds. Zbl 1221.37113
Tsiganov, A. V.
2011
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
2003
The Maupertuis principle and canonical transformations of the extended phase space. Zbl 0974.35118
Tsiganov, A. V.
2001
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
Constantin, Adrian; Lenells, Jonatan
2003
The economy of complete symmetry groups for linear higher dimensional systems. Zbl 1362.34052
Andriopoulos, K.; Leach, P. G. L.
2002
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
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
2008
Painlevé test and higher order differential equations. Zbl 1028.34082
Muğan, Uğurhan; Jrad, Fahd
2002
Euler-Poincaré formalism of (two component) Degasperis-Procesi and Holm-Staley type systems. Zbl 1165.35032
Guha, Partha
2007
Provenance of Type II hidden symmetries from nonlinear partial differential equations. Zbl 1110.35321
Abraham-Shrauner, Barbara; Govinder, Keshlan S.
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.
1998
First integrals generated by pseudosymmetries in Nambu-Poisson mechanics. Zbl 1119.37317
Crâşmăreanu, Mircea
2000
$$q,k$$-generalized gamma and beta functions. Zbl 1075.33010
Díaz, Rafael; Teruel, Carolina
2005
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
2005
Conservation laws for self-adjoint first-order evolution equation. Zbl 1219.35228
Freire, Igor Leite
2011
Jacobi’s last multiplier and the complete symmetry group of the Euler-Poinsot system. Zbl 1362.35027
Nucci, M. C.; Leach, P. G. L.
2002
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
2005
Integrating factors and $$\lambda$$-symmetries. Zbl 1362.34057
Muriel, C.; Romero, J. L.
2008
Solitary traveling water waves of moderate amplitude. Zbl 1362.76017
Geyer, Anna
2012
Rota-Baxter operators on pre-Lie algebras. Zbl 1203.17016
Li, Xiuxian; Hou, Dongping; Bai, Chengming
2007
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.
2003
The Heun equation and the Calogero-Moser-Sutherland system. III: The finite-gap property and the monodromy. Zbl 1087.81028
Takemura, Kouichi
2004
On the propagation of vector ultra-short pulses. Zbl 1172.35502
Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe
2008
A new extended q-deformed KP hierarchy. Zbl 1168.37020
Lin, Runliang; Liu, Xiaojun; Zeng, Yunbo
2008
Symbolic software for the Painlevé test of nonlinear ordinary and partial differential equations. Zbl 1110.35300
Baldwin, Douglas; Hereman, Willy
2006
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
2009
On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations: two linearisable hierarchies. Zbl 1284.35021
Euler, Norbert; Euler, Marianna
2009
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
2003
Particle trajectories in linearized irrotational shallow water flows. Zbl 1362.76041
Ionescu-Kruse, Delia
2008
Blow-up phenomena and decay for the periodic Degasperis-Procesi equation with weak dissipation. Zbl 1362.35274
Wu, Shuyin; Yin, Zhaoyang
2008
Corrigendum: “Classification of 3D consistent quad-equations”. Zbl 1262.37033
Boll, Raphael
2012
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
2003
Application of Lie group analysis to a core group model for sexually transmitted diseases. Zbl 1117.34040
Edwards, M.; Nucci, M. C.
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.
2006
Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples. Zbl 1100.42015
Castro, Mirta M.; Grünbaum, F. Alberto
2005
A generalization of the sine-Gordon equation to 2+1 dimensions. Zbl 1067.35086
Estévez, P. G.; Prada, J.
2004
Complete invariant characterization of scalar linear $$(1+1)$$ parabolic equations. Zbl 1362.35306
Mahomed, Fazal M.
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.
2009
Bihamiltonian geometry and separation of variables for Toda lattices. Zbl 0981.37018
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
2001
Dark equations. Zbl 1001.35107
Kupershmidt, B. A.
2001
Asymptotically isochronous systems. Zbl 1161.70010
Calogero, Francesco; Gomez-Ullate, David
2008
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.
2006
On an integrable differentiable-difference equation with a source. Zbl 1110.35346
Gegenhasi; Hu, Xing-Biao
2006
On integrability of a $$(2+1)$$-dimensional perturbed KdV equation. Zbl 0946.35092
Sakovich, S. Yu.
1998
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
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.
2004
Jacobi’s last multiplier and the complete symmetry group of the Ermakov-Pinney equation. Zbl 1079.34026
Nucci, M. C.; Leach, P. G. L.
2005
Is my ODE a Painlevé equation in disguise? Zbl 1362.34129
Hietarinta, Jarmo; Dryuma, Valery
2002
Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus’ and Carnot’s theorems. Zbl 1362.39013
Schief, Wolfgang Karl
2003
On constant vorticity flows beneath two-dimensional surface solitary waves. Zbl 1362.76019
Stuhlmeier, Raphael
2012
On periodic water waves with Coriolis effects and isobaric streamlines. Zbl 1362.76016
Matioc, Anca-Voichita; Matioc, Bogdan-Vasile
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.
2020
Multicomplex solitons. Zbl 1436.35065
Cen, Julia; Fring, Andreas
2020
Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059
Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume
2020
Euler’s triangle and the decomposition of tensor powers of the adjoint $$\mathfrak{sl}(2)$$-module. Zbl 1436.17013
Perelomov, Askold M.
2020
Realizations of the Witt and Virasoro algebras and integrable equations. Zbl 1436.17035
Huang, Qing; Zhdanov, Renat
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
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
2020
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
2020
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation. Zbl 1441.37076
Xu, Xiaoxue; Cao, Cewen; Zhang, Guangyao
2020
Exact Pollard-like internal water waves. Zbl 1417.74010
Kluczek, Mateusz
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.
2019
Two-component generalizations of the Novikov equation. Zbl 1417.37231
Li, Hongmin
2019
Products in the category of $$\mathbb{Z}^n_2$$-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
2019
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 07107729
Giné, Jaume; Valls, Claudia
2019
Rational solutions to $$Q3_{\delta}$$ in the Adler-Bobenko-Suris list and degenerations. Zbl 1417.37242
Zhao, Song-lin; Zhang, Da-jun
2019
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
2019
Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 1464.80011
Rogers, Colin
2019
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
2019
Bilinear identities and squared eigenfunction symmetries of the $$BC_r$$-KP hierarchy. Zbl 1417.35168
Geng, Lumin; Chen, Huizhan; Li, Na; Cheng, Jipeng
2019
A construction of multidimensional Dubrovin-Novikov brackets. Zbl 1462.37078
Strachan, Ian A. B.
2019
Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions. Zbl 1461.35153
Sarrico, C. O. R.
2019
Bilinear identities for the constrained modified KP hierarchy. Zbl 1462.35331
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
2019
Differential equations invariant under conditional symmetries. Zbl 1462.35337
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
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
2019
The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble. Zbl 1417.15052
Lyu, Shulin; Griffin, James; Chen, Yang
2019
Solving the constrained modified KP hierarchy by gauge transformations. Zbl 1417.35166
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
2019
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”. Zbl 1417.81124
Calogero, Francesco; Leyvraz, François
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
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.
2019
A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. Zbl 1418.35330
Rasin, Alexander G.; Schiff, Jeremy
2019
Integration of the stochastic logistic equation via symmetry analysis. Zbl 1417.60049
Gaeta, Giuseppe
2019
The Riemann-Hilbert problem to coupled nonlinear Schrödinger equation: long-time dynamics on the half-line. Zbl 1417.35054
Guo, Boling; Liu, Nan
2019
Symmetry and integrability for stochastic differential equations. Zbl 1411.35293
Gaeta, G.; Lunini, C.
2018
Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061
Rogers, Colin; Clarkson, Peter A.
2018
The gauge transformation of the modified KP hierarchy. Zbl 1420.35285
Cheng, Jipeng
2018
Rosenhain-thomae formulae for higher genera hyperelliptic curves. Zbl 1420.14069
Eilers, Keno
2018
Supersymmetric Sawada-Kotera equation: Bäcklund-Darboux transformations and applications. Zbl 1417.35173
Mao, Hui; Liu, Q. P.; Xue, Lingling
2018
Morphisms cohomology and deformations of Hom-algebras. Zbl 1417.22010
Arfa, Anja; Ben Fraj, Nizar; Makhlouf, Abdenacer
2018
Meromorphic and formal first integrals for the Lorenz system. Zbl 1420.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
2018
Conservation laws of the generalized Riemann equations. Zbl 1420.35158
Gao, Binfang; Tian, Kai; Liu, Q. P.; Feng, Lujuan
2018
Lie point symmetries and ODEs passing the Painlevé test. Zbl 1417.34211
Levi, D.; Sekera, D.; Winternitz, P.
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
2018
On decomposition of the ABS lattice equations and related Bäcklund transformations. Zbl 1420.35302
Zhang, Danda; Zhang, Da-Jun
2018
Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. Zbl 1420.35391
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
2018
Integrability conditions for complex homogeneous kukles systems. Zbl 1417.34069
Giné, Jaume; Valls, Claudia
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
2018
Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings. Zbl 1419.34063
Calogero, Francesco
2018
Hopf magnetic curves in the anti-de Sitter space $$\mathbb{H}^3_1$$. Zbl 1417.53084
Calvaruso, Giovanni; Munteanu, Marian Ioan
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.
2018
Further Riccati differential equations with elliptic coefficients and meromorphic solutions. Zbl 1417.34208
Guillot, Adolfo
2018
Singular Hartree equation in fractional perturbed Sobolev spaces. Zbl 1417.35182
Michelangeli, Alessandro; Olgiati, Alessandro; Scandone, Raffaele
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.
2018
Nonlocal symmetries of Plebański’s second heavenly equation. Zbl 1411.58007
Lelito, Aleksandra; Morozov, Oleg I.
2018
Magnetic curves in $$\mathrm{Sol}_3$$. Zbl 1411.53012
Erjavec, Zlatko; Inoguchi, Jun-ichi
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
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.
2018
On the discretization of Laine equations. Zbl 1420.35303
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
2018
The multiplication of distributions in the study of a Riemann problem in fluid dynamics. Zbl 1421.76150
Sarrico, C. O. R.; Paiva, A.
2017
Riemann-Hilbert method and $$N$$-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
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
2017
Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling. Zbl 1420.35384
Vakhnenko, Oleksiy O.
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
2017
Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. Zbl 1420.35080
Michelangeli, Alessandro; Olgiati, Alessandro
2017
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Zbl 1420.35015
Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K.
2017
On Lie-point symmetries for Ito stochastic differential equations. Zbl 1420.60068
Gaeta, G.; Lunini, C.
2017
Variational symmetries and pluri-Lagrangian systems in classical mechanics. Zbl 1421.70031
Petrera, Matteo; Suris, Yuri B.
2017
On the oscillons in the signum-Gordon model. Zbl 1420.35148
Świerczyński, Z.
2017
Bilinearization and soliton solutions of $$N=1$$ supersymmetric coupled dispersionless integrable system. Zbl 1420.37081
Mirza, Arifa; Ul Hassan, Mahmood
2017
New C-integrable and S-integrable systems of nonlinear partial differential equations. Zbl 1420.35306
Calogero, Francesco
2017
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
2017
On hybrid Ermakov-Painlevé systems. Integrable reduction. Zbl 1420.34108
Rogers, Colin
2017
Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations. Zbl 1420.37060
Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
2017
Explicit integration of a generic Hénon-Heiles system with quartic potential. Zbl 1420.37042
Sottocornola, Nicola
2017
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems. Zbl 1420.34055
Llibre, Jaume; Valls, Clàudia
2017
Bäcklund transformations between four Lax-integrable 3D equations. Zbl 1420.37105
Morozov, Oleg I.; Pavlov, Maxim V.
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&rsquo;Shchik, I. S.; Morozov, O. I.; Vojčák, P.
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.
2017
Miura and auto-Backlund transformations for the $$q$$-deformed KP and $$q$$-deformed modified KP hierarchies. Zbl 1420.35284
Cheng, Jipeng
2017
Nonlocal symmetries and conservation laws of the sinh-Gordon equation. Zbl 1421.35225
Tang, Xiao-Yan; Liang, Zu-Feng
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
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.
2017
On the Darboux integrability of a three-dimensional forced-damped differential system. Zbl 1420.37040
Llibre, Jaume; Oliveira, Regilene; Valls, Claudia
2017
New properties of the Zeros of Krall polynomials. Zbl 1420.33001
Bihun, Oksana
2017
Liouville integrability of conservative peakons for a modified CH equation. Zbl 1420.35283
Chang, Xiangke; Szmigielski, Jacek
2017
Solutions of the buoyancy-drag equation with a time-dependent acceleration. Zbl 1420.37114
Bouquet, Serge E.; Conte, Robert; Kelsch, Vincent; Louvet, Fabien
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
2017
On modulated NLS-Ermakov systems. Zbl 1420.35379
Rogers, Colin; Chow, Kwok
2017
The heptagon-wheel cocycle in the Kontsevich graph complex. Zbl 1420.53084
Buring, Ricardo; Kiselev, Arthemy V.; Rutten, Nina J.
2017
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube. Zbl 1420.37064
Gubbiotti, G.; Scimiterna, C.; Levi, D.
2016
On the dynamics of a class of rational Kolmogorov systems. Zbl 1420.34053
Boukoucha, Rachid; Bendjeddou, Ahmed
2016
Parameterless discrete Painlevé equations and their Miura relations. Zbl 1420.34105
Grammaticos, B.; Ramani, A.
2016
Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line. Zbl 1420.37107
Xu, Jian
2016
Darboux transformations of the supersymmetric BKP hierarchy. Zbl 1420.37050
Li, Chuanzhong
2016
Semi-discrete hyperbolic equations admitting five dimensional characteristic $$x$$-ring. Zbl 1420.37098
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
2016
Ermakov-modulated nonlinear Schrödinger models. Integrable reduction. Zbl 1420.34064
Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi
2016
Conservation laws and optimal system of extended quantum Zakharov-Kuznetsov equation. Zbl 1420.35071
Jiang, Yao-Lin; Lu, Yi; Chen, Cheng
2016
Novel solvable many-body problems. Zbl 1421.70017
Bihun, Oksana; Calogero, Francesco
2016
Integrable systems from inelastic curve flows in 2- and 3- dimensional Minkowski space. Zbl 1420.37102
Alkan, Kivilcim; Anco, Stephen C.
2016
Derivation of generalized Camassa-Holm equations from Boussinesq-type equations. Zbl 1420.35065
Erbay, H. A.; Erbay, S.; Erkip, A.
2016
Periodic solutions of symmetric Kepler perturbations and applications. Zbl 1420.34066
Alberti, Angelo; Vidal, Claudio
2016
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#### Cited by 3,451 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 Leyvraz, Francois 12 Carillo, Sandra 12 Govinder, Keshlan Sathasiva 12 Gubbiotti, Giorgio 12 Ivanov, Rossen I. 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 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 9 Rozikov, Utkir A. ...and 3,351 more Authors
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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 40 Discrete and Continuous Dynamical Systems 39 Communications in Mathematical Physics 38 Physica D 29 Journal of Computational and Applied Mathematics 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 29 Journal of Mathematical Fluid Mechanics 27 Mathematical Methods in the Applied Sciences 27 Monatshefte für Mathematik 25 Physics Letters. A 25 Studies in Applied Mathematics 25 Journal of Inequalities and Applications 25 Advances in Mathematical Physics 24 Reports on Mathematical Physics 24 Regular and Chaotic Dynamics 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 19 Mathematical Problems in Engineering 18 Computers & Mathematics with Applications 18 Journal of Mathematical Sciences (New York) 18 Journal of Applied Mathematics 17 Advances in Mathematics 17 Journal of Algebra 16 Journal of Nonlinear Science 15 International Journal of Modern Physics B 15 Journal of Functional Analysis 15 Proceedings of the American Mathematical Society 15 Differential Geometry and its Applications 14 Journal of Engineering Mathematics 14 Nonlinearity 14 Chaos 13 Journal of Fluid Mechanics 13 Russian Journal of Mathematical Physics 13 Journal of Difference Equations and Applications 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 12 Quarterly of Applied Mathematics 12 International Journal of Computer Mathematics 12 Linear Algebra and its Applications 12 Symmetry 12 Analysis and Mathematical Physics 11 Journal of Computational Physics 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 10 Nuclear Physics. B 10 Ukrainian Mathematical Journal 9 Journal of Statistical Physics 9 Qualitative Theory of Dynamical Systems 9 Journal of Applied Mathematics and Computing 9 Journal of Geometric Mechanics 9 Journal of Applied Analysis and Computation 8 Acta Mechanica 8 Mathematical Notes 8 Quaestiones Mathematicae 8 Applied Mathematical Modelling 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 European Journal of Mechanics. B. Fluids 8 Differential Equations 8 Journal of Evolution Equations 8 Discrete and Continuous Dynamical Systems. Series B 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 7 Frontiers of Mathematics in China 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 International Journal of Modern Physics A 6 Reviews in Mathematical Physics ...and 328 more Journals
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#### Cited in 60 Fields

 1,620 Partial differential equations (35-XX) 1,046 Dynamical systems and ergodic theory (37-XX) 582 Ordinary differential equations (34-XX) 447 Fluid mechanics (76-XX) 303 Mechanics of particles and systems (70-XX) 275 Nonassociative rings and algebras (17-XX) 271 Quantum theory (81-XX) 262 Differential geometry (53-XX) 200 Special functions (33-XX) 200 Difference and functional equations (39-XX) 182 Global analysis, analysis on manifolds (58-XX) 161 Number theory (11-XX) 146 Numerical analysis (65-XX) 103 Statistical mechanics, structure of matter (82-XX) 87 Combinatorics (05-XX) 78 Biology and other natural sciences (92-XX) 76 Real functions (26-XX) 76 Geophysics (86-XX) 69 Associative rings and algebras (16-XX) 66 Algebraic geometry (14-XX) 62 Mechanics of deformable solids (74-XX) 62 Relativity and gravitational theory (83-XX) 60 Probability theory and stochastic processes (60-XX) 59 Topological groups, Lie groups (22-XX) 52 Operator theory (47-XX) 48 Optics, electromagnetic theory (78-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Functional analysis (46-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 33 Integral equations (45-XX) 32 Functions of a complex variable (30-XX) 27 Group theory and generalizations (20-XX) 21 Integral transforms, operational calculus (44-XX) 21 Systems theory; control (93-XX) 17 Manifolds and cell complexes (57-XX) 16 Several complex variables and analytic spaces (32-XX) 14 Geometry (51-XX) 13 Approximations and expansions (41-XX) 12 Commutative algebra (13-XX) 12 Computer science (68-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Statistics (62-XX) 9 Information and communication theory, circuits (94-XX) 8 Category theory; homological algebra (18-XX) 8 Convex and discrete geometry (52-XX) 7 Field theory and polynomials (12-XX) 7 Measure and integration (28-XX) 6 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 2 General algebraic systems (08-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 1 Potential theory (31-XX)