## 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-issueshttps://www.atlantis-press.com/journals/jnmphttps://www.tandfonline.com/loi/tnmp20https://www.worldscientific.com/loi/jnmp Predecessor: Journal of Nonlinear Mathematical Physics Comments: Indexed cover-to-cover; This journal is available open access.
 Documents Indexed: 1,291 Publications (since 1998) References Indexed: 1,170 Publications with 24,610 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 Cheng, Jipeng 11 Grammaticos, Basil 11 Mahomed, Fazal M. 11 Ramani, Alfred 10 Leyvraz, Francois 9 Grundland, Alfred Michel 9 Guha, Partha 9 Leites, Dimitry A. 9 Prykarpatsky, Anatoliy Karolevych 9 Rogers, Colin 8 Gandarias Núñez, Maria Luz 8 Qiao, Zhijun 8 Ruijsenaars, Simon N. M. 7 Conte, Robert Maurice 7 Geng, Xianguo 7 He, Jingsong 7 Hu, Xingbiao 7 Lakshmanan, Muthusamy 7 Perelomov, Askold M. 7 Vekslerchik, Vadym Yevgenovych 7 Zhang, Dajun 6 Blackmore, Denis L. 6 Constantin, Adrian 6 Fan, Engui 6 Grebenev, Vladimir N. 6 Henry, David 6 Levi, Decio 6 Meleshko, Sergey V. 6 Morozov, Oleg I. 6 Muriel, Concepción 6 Oberlack, Martin 6 Tyutin, Igor Viktorovich 6 Zeng, Yunbo 5 Anco, Stephen C. 5 Andriopoulos, Kostis 5 Bihun, Oksana 5 Bouarroudj, Sofiane 5 Bruschi, Mario 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 Johnson, Robin Stanley 5 Kolev, Boris 5 Lenells, Jonatan 5 Li, Jing 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 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 Gegenhasi 4 Geng, Lumin 4 Giné, Jaume 4 Hone, Andrew N. W. 4 Hounkonnou, Mahouton Norbert 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 Mei, Jianqin 4 Musette, Micheline 4 Özer, Teoman 4 Petrera, Matteo 4 Prykarpatsky, Yarema Anatoliyovych 4 Senthilvelan, Murugaian 4 Sommacal, Matteo 4 Szmigielski, Jacek 4 Tian, Shoufu 4 Tsyganov, Andreĭ Vladimirovich 4 Vakhnenko, Oleksiy O. 4 Van der Mee, Cornelis Victor Maria 4 Wang, Yong 4 Winternitz, Pavel ...and 1,290 more Authors
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### Fields

 581 Partial differential equations (35-XX) 533 Dynamical systems and ergodic theory (37-XX) 230 Ordinary differential equations (34-XX) 141 Quantum theory (81-XX) 123 Mechanics of particles and systems (70-XX) 117 Fluid mechanics (76-XX) 97 Differential geometry (53-XX) 88 Nonassociative rings and algebras (17-XX) 76 Global analysis, analysis on manifolds (58-XX) 70 Difference and functional equations (39-XX) 46 Special functions (33-XX) 46 Statistical mechanics, structure of matter (82-XX) 36 Biology and other natural sciences (92-XX) 30 Topological groups, Lie groups (22-XX) 29 Mechanics of deformable solids (74-XX) 22 Probability theory and stochastic processes (60-XX) 22 Numerical analysis (65-XX) 21 Algebraic geometry (14-XX) 19 Relativity and gravitational theory (83-XX) 18 Number theory (11-XX) 18 Operator theory (47-XX) 18 Manifolds and cell complexes (57-XX) 16 Associative rings and algebras (16-XX) 14 Optics, electromagnetic theory (78-XX) 11 Functional analysis (46-XX) 11 Geophysics (86-XX) 10 Combinatorics (05-XX) 10 Real functions (26-XX) 10 Functions of a complex variable (30-XX) 9 Group theory and generalizations (20-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Operations research, mathematical programming (90-XX) 4 Category theory; homological algebra (18-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-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) 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)

### Citations contained in zbMATH Open

911 Publications have been cited 5,108 times in 3,996 Documents Cited by Year
Fractional $$q$$-calculus on a time scale. Zbl 1157.81315
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2007
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
What a classical $$r$$-matrix really is. Zbl 1015.17015
Kupershmidt, Boris A.
1999
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
A basis of conservation laws for partial differential equations. Zbl 1362.35024
Kara, A. H.; Mahomed, F. M.
2002
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
2002
On edge waves in stratified water along a sloping beach. Zbl 1394.76030
Stuhlmeier, Raphael
2011
Reflection symmetries of $$q$$-Bernoulli polynomials. Zbl 1362.33021
Kupershmidt, Boris A.
2005
Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier. Zbl 1206.34013
Nucci, M. C.; Tamizhmani, K. M.
2010
Ma, Wen-Xiu; Zhou, Ruguang
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
A method for $$q$$-calculus. Zbl 1041.33013
Ernst, Thomas
2003
Jacobi last multiplier and Lie symmetries: a novel application of an old relationship. Zbl 1080.34003
Nucci, M. C.
2005
A list of $$1+1$$ dimensional integrable equations and their properties. Zbl 1362.37137
Wang, Jing Ping
2002
On $$(q, h)$$-analogue of fractional calculus. Zbl 1189.26006
Čermák, Jan; Nechvátal, Luděk
2010
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
Groves, M. D.
2004
Classification of 3D consistent quad-equations. Zbl 1252.37068
Boll, Raphael
2011
Lagrangian formulation of a generalized Lane-Emden equation and double reduction. Zbl 1169.34033
Khalique, C. Masood; Mahomed, Fazal M.; Muatjetjeja, Ben
2008
Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318
Golubchik, I. Z.; Sokolov, V. V.
2000
On the integrability of a class of nonlinear dispersive wave equations. Zbl 1089.35522
Ivanov, Rossen
2005
$$L_p$$-$$L_q$$ decay estimates for wave equations with time-dependent coefficients. Zbl 1071.35093
Reissig, Michael
2004
On the Cauchy problem for a nonlinearly dispersive wave equation. Zbl 1021.35100
Yin, Zhaoyang
2003
Wave breaking in a class of nonlocal dispersive wave equations. Zbl 1110.35069
Liu, Hailiang
2006
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
2005
$$q,k$$-generalized gamma and beta functions. Zbl 1075.33010
Díaz, Rafael; Teruel, Carolina
2005
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
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
Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves. Zbl 1245.76009
Henry, David
2007
Navier-Stokes equations with nonhomogeneous Dirichlet data. Zbl 1362.35205
Amann, Herbert
2003
Invariant linearization criteria for systems of cubically nonlinear second-order ordinary differential equations. Zbl 1190.34045
2009
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
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
2005
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
Lie groups and mechanics: an introduction. Zbl 1069.35070
Kolev, Boris
2004
Rota-Baxter operators on pre-Lie algebras. Zbl 1203.17016
Li, Xiuxian; Hou, Dongping; Bai, Chengming
2007
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2005
The Kaldor-Kalecki model of business cycle as a two-dimensional dynamical system. Zbl 0989.90099
2001
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
2003
Euler-Poincaré formalism of (two component) Degasperis-Procesi and Holm-Staley type systems. Zbl 1165.35032
Guha, Partha
2007
A note on $$q$$-Bernoulli numbers and polynomials. Zbl 1109.33024
Hegazi, A. S.; Mansour, M.
2006
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
2008
The Maupertuis principle and canonical transformations of the extended phase space. Zbl 0974.35118
Tsiganov, A. V.
2001
On bi-integrable natural Hamiltonian systems on Riemannian manifolds. Zbl 1221.37113
Tsiganov, A. V.
2011
Corrigendum: “Classification of 3D consistent quad-equations”. Zbl 1262.37033
Boll, Raphael
2012
On the propagation of vector ultra-short pulses. Zbl 1172.35502
Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe
2008
Solitary traveling water waves of moderate amplitude. Zbl 1362.76017
Geyer, Anna
2012
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
A generalization of the sine-Gordon equation to 2+1 dimensions. Zbl 1067.35086
2004
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics. Zbl 1080.35163
Naicker, V.; Andriopoulos, K.; Leach, P. G. L.
2005
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
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
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
Painlevé test and higher order differential equations. Zbl 1028.34082
2002
First integrals generated by pseudosymmetries in Nambu-Poisson mechanics. Zbl 1119.37317
Crâşmăreanu, Mircea
2000
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
2004
The Heun equation and the Calogero-Moser-Sutherland system. III: The finite-gap property and the monodromy. Zbl 1087.81028
Takemura, Kouichi
2004
Conservation laws for self-adjoint first-order evolution equation. Zbl 1219.35228
Freire, Igor Leite
2011
Symbolic software for the Painlevé test of nonlinear ordinary and partial differential equations. Zbl 1110.35300
Baldwin, Douglas; Hereman, Willy
2006
Provenance of Type II hidden symmetries from nonlinear partial differential equations. Zbl 1110.35321
Abraham-Shrauner, Barbara; Govinder, Keshlan S.
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
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
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
2003
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
2005
Blow-up phenomena and decay for the periodic Degasperis-Procesi equation with weak dissipation. Zbl 1362.35274
Wu, Shuyin; Yin, Zhaoyang
2008
Integrating factors and $$\lambda$$-symmetries. Zbl 1362.34057
Muriel, C.; Romero, J. L.
2008
Magnetic curves in Sasakian manifolds. Zbl 1420.53035
Druţă-Romaniuc, Simona Luiza; Inoguchi, Jun-Ichi; Munteanu, Marian Ioan; Nistor, Ana Irina
2015
On integrability of a $$(2+1)$$-dimensional perturbed KdV equation. Zbl 0946.35092
Sakovich, S. Yu.
1998
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
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
A new extended q-deformed KP hierarchy. Zbl 1168.37020
Lin, Runliang; Liu, Xiaojun; Zeng, Yunbo
2008
On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations: two linearisable hierarchies. Zbl 1284.35021
Euler, Norbert; Euler, Marianna
2009
Complete invariant characterization of scalar linear $$(1+1)$$ parabolic equations. Zbl 1362.35306
Mahomed, Fazal M.
2008
Particle trajectories in linearized irrotational shallow water flows. Zbl 1362.76041
Ionescu-Kruse, Delia
2008
Application of the generalised Sundman transformation to the linearisation of two second-order ordinary differential equations. Zbl 1362.34007
Moyo, Sibusiso; Meleshko, Sergey V.
2011
On constant vorticity flows beneath two-dimensional surface solitary waves. Zbl 1362.76019
Stuhlmeier, Raphael
2012
Riemann-Hilbert method and $$N$$-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
2017
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
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
Generalisations of the Laplace-Runge-Lenz vector. Zbl 1039.70007
Leach, P. G. L.; Flessas, G. P.
2003
Nonlinear stability analysis of the Emden-Fowler equation. Zbl 1217.34094
Böhmer, C. G.; Harko, T.
2010
Asymptotically isochronous systems. Zbl 1161.70010
Calogero, Francesco; Gomez-Ullate, David
2008
On an integrable differentiable-difference equation with a source. Zbl 1110.35346
Gegenhasi; Hu, Xing-Biao
2006
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
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
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
2022
Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary. Zbl 1486.58016
Wu, Tong; Wang, Jian; Wang, Yong
2022
On the higher-order inhomogeneous Heisenberg supermagnetic models. Zbl 1482.37067
Han, Rong; Sun, Haichao; Jiang, Nana; Yan, Zhaowen
2021
On Lie symmetry analysis of certain coupled fractional ordinary differential equations. Zbl 07576832
Sethukumarasamy, K.; Vijayaraju, P.; Prakash, P.
2021
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
Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059
Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume
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
Integrable boundary conditions for the Hirota-Miwa equation and Lie algebras. Zbl 1436.37078
Habibullin, Ismagil; Khakimova, Aigul
2020
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2020
Global dynamics of a Lotka-Volterra system in $$\mathbb{R}^3$$. Zbl 1436.37027
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
Multicomplex solitons. Zbl 1436.35065
Cen, Julia; Fring, Andreas
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
Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver. Zbl 1436.14059
Görbe, Tamás; Gyenge, Ádám
2020
Solutions of the constrained mKP hierarchy by boson-fermion correspondence. Zbl 1436.35285
Chen, Huizhan; Geng, Lumin; Cheng, Jipeng
2020
Induced dynamics. Zbl 1436.37081
Pogrebkov, A. K.
2020
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
2020
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system. Zbl 1441.35018
Xia, Yarong; Yao, Ruoxia; Xin, Xiangpeng
2020
Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem. Zbl 1441.37080
Huang, Lin
2020
On the discretization of Darboux integrable systems. Zbl 1441.37078
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
2020
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation. Zbl 1441.37076
Xu, Xiaoxue; Cao, Cewen; Zhang, Guangyao
2020
Decomposition of 2-soliton solutions for the good Boussinesq equations. Zbl 1441.35097
Vatchev, Vesselin
2020
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. Zbl 1441.34002
Giné, Jaume; Valls, Claudia
2020
On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
Hierarchies of $$q$$-discrete Painlevé equations. Zbl 1436.33019
Alrashdi, Huda; Joshi, Nalini; Tran, Dinh Thi
2020
Nonautonomous symmetries of the KdV equation and step-like solutions. Zbl 1436.35284
2020
Euler’s triangle and the decomposition of tensor powers of the adjoint $$\mathfrak{sl}(2)$$-module. Zbl 1436.17013
2020
The group-theoretical analysis of nonlinear optimal control problems with Hamiltonian formalism. Zbl 1436.70003
Gün Polat, Gülden; Özer, Teoman
2020
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007
Giné, Jaume; Valls, Claudia
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
Products in the category of $$\mathbb{Z}^n_2$$-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
2019
Exact Pollard-like internal water waves. Zbl 1417.74010
Kluczek, Mateusz
2019
Two-component generalizations of the Novikov equation. Zbl 1417.37231
Li, Hongmin
2019
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
2019
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
2019
Rational solutions to $$Q3_{\delta}$$ in the Adler-Bobenko-Suris list and degenerations. Zbl 1417.37242
Zhao, Song-lin; Zhang, Da-jun
2019
An exact solution for geophysical internal waves with underlying current in modified equatorial $$\beta$$ -plane approximation. Zbl 1418.86006
Su, Dong; Gao, Hongjun
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
Integration of the stochastic logistic equation via symmetry analysis. Zbl 1417.60049
Gaeta, Giuseppe
2019
Solving the constrained modified KP hierarchy by gauge transformations. Zbl 1417.35166
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng
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
Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 1464.80011
Rogers, Colin
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
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
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
On slant magnetic curves in $$S$$-manifolds. Zbl 1418.53053
Güvenç, Şaban; Özgür, Cihan
2019
A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. Zbl 1418.35330
Rasin, Alexander G.; Schiff, Jeremy
2019
Variational operators, symplectic operators, and the cohomology of scalar evolution equations. Zbl 1418.58006
Fels, M. E.; Yaşar, E.
2019
Systems of Hamilton-Jacobi equations. Zbl 1418.70027
Cambronero, Julio; Álvarez, Javier Pérez
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
2019
A construction of multidimensional Dubrovin-Novikov brackets. Zbl 1462.37078
Strachan, Ian A. B.
2019
$$N = 2$$ supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt equations. Zbl 1448.81343
Popowicz, Ziemowit
2019
Symmetry and integrability for stochastic differential equations. Zbl 1411.35293
Gaeta, G.; Lunini, C.
2018
The gauge transformation of the modified KP hierarchy. Zbl 1420.35285
Cheng, Jipeng
2018
Meromorphic and formal first integrals for the Lorenz system. Zbl 1420.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
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
Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061
Rogers, Colin; Clarkson, Peter A.
2018
Rosenhain-thomae formulae for higher genera hyperelliptic curves. Zbl 1420.14069
Eilers, Keno
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
Supersymmetric Sawada-Kotera equation: Bäcklund-Darboux transformations and applications. Zbl 1417.35173
Mao, Hui; Liu, Q. P.; Xue, Lingling
2018
Singular Hartree equation in fractional perturbed Sobolev spaces. Zbl 1417.35182
Michelangeli, Alessandro; Olgiati, Alessandro; Scandone, Raffaele
2018
Morphisms cohomology and deformations of Hom-algebras. Zbl 1417.22010
Arfa, Anja; Ben Fraj, Nizar; Makhlouf, Abdenacer
2018
Magnetic curves in $$\mathrm{Sol}_3$$. Zbl 1411.53012
Erjavec, Zlatko; Inoguchi, Jun-ichi
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
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
On decomposition of the ABS lattice equations and related Bäcklund transformations. Zbl 1420.35302
Zhang, Danda; Zhang, Da-Jun
2018
On the discretization of Laine equations. Zbl 1420.35303
Zheltukhin, Kostyantyn; Zheltukhina, Natalya
2018
On nonlinearity in three-dimensional equatorial flows. Zbl 1417.86004
Henry, David
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
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. Zbl 1417.35010
Valchev, T. I.; Yanovski, Aleksandar B.
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
2018
Composition of Lie group elements from basis Lie algebra elements. Zbl 1417.22012
Bluman, George W.; Mrani-Zentar, Omar; Finlay, Deshin
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
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
Riemann-Hilbert method and $$N$$-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
2017
The multiplication of distributions in the study of a Riemann problem in fluid dynamics. Zbl 1421.76150
Sarrico, C. O. R.; Paiva, A.
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
Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. Zbl 1420.35080
Michelangeli, Alessandro; Olgiati, Alessandro
2017
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
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
On Lie-point symmetries for Ito stochastic differential equations. Zbl 1420.60068
Gaeta, G.; Lunini, C.
2017
Miura and auto-Backlund transformations for the $$q$$-deformed KP and $$q$$-deformed modified KP hierarchies. Zbl 1420.35284
Cheng, Jipeng
2017
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Zbl 1420.35015
Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K.
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
Bäcklund transformations between four Lax-integrable 3D equations. Zbl 1420.37105
Morozov, Oleg I.; Pavlov, Maxim V.
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
...and 811 more Documents
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### Cited by 3,889 Authors

 73 Leach, Peter Gavin Lawrence 61 Calogero, Francesco A. 50 Kim, Taekyun 39 Guha, Partha 37 Bai, Chengming 33 Nucci, Maria Clara 30 Mahomed, Fazal M. 29 Ma, Wen-Xiu 29 Wazwaz, Abdul-Majid Abdul-Rahman 26 Kara, Abdul Hamid 25 Llibre, Jaume 24 Gandarias Núñez, Maria Luz 24 Henry, David 24 Tsyganov, Andreĭ Vladimirovich 24 Yin, Zhaoyang 23 Ghose Choudhury, Anindya 23 Martin, Calin-Iulian 22 Escher, Joachim 22 Gaeta, Giuseppe 20 Constantin, Adrian 20 Ionescu-Kruse, Delia 20 Senthilvelan, Murugaian 19 Araci, Serkan 19 Bruzón, Maria Santos 19 Sheng, Yunhe 18 Lakshmanan, Muthusamy 18 Liu, Yue 18 Paliathanasis, Andronikos 18 Valls Anglés, Cláudia 17 Hsu, Hung-Chu 17 Kudryashov, Nikolaĭ Alekseevich 17 Prykarpatsky, Anatoliy Karolevych 17 Simsek, Yilmaz 16 Khalique, Chaudry Masood 16 Levi, Decio 16 Oberlack, Martin 16 Ryoo, Cheon Seoung 16 Sinelshchikov, Dmitry I. 16 Tian, Lixin 15 Acikgoz, Mehmet 15 Chandrasekar, V. K. 15 Euler, Norbert 15 Lenells, Jonatan 15 Tian, Shoufu 14 Ivanov, Rossen I. 14 Matioc, Bogdan-Vasile 14 Qu, Changzheng 13 Biswas, Anjan 13 Carillo, Sandra 13 Cheng, Jipeng 13 Euler, Marianna 13 Fan, Engui 13 Freire, Igor Leite 13 Gubbiotti, Giorgio 13 Hu, Xingbiao 13 Leites, Dimitry A. 13 Leyvraz, Francois 13 Muriel, Concepción 13 Sophocleous, Christodoulos 13 Zhang, Dajun 12 Bracken, Paul Francis 12 Cariñena, José F. 12 Govinder, Keshlan Sathasiva 12 Guo, Boling 12 He, Jingsong 12 Joshi, Nalini 12 Kolev, Boris 12 Pickering, Andrew 12 Qadir, Asghar 11 Anco, Stephen C. 11 Błaszak, Maciej 11 Ehrnström, Mats 11 Geyer, Anna 11 Lee, Hui Young 11 Meleshko, Sergey V. 11 Mu, Chunlai 11 Samei, Mohammad Esmael 11 Smirnov, Yury G. 10 Basdouri, Imed 10 Bauer, Martin 10 Farwig, Reinhard 10 Gordoa, Pilar Ruiz 10 Grundland, Alfred Michel 10 Guo, Li 10 Guo, Zhengguang 10 Himonas, A. Alexandrou 10 Khakimov, Rustam M. 10 Lin, Chang-Shou 10 Liu, Jiefeng 10 Liu, Zhengrong 10 Mi, Yongsheng 10 Özer, Teoman 10 Qiao, Zhijun 10 Rañada, Manuel F. 10 Raynaud, Xavier 10 Shen, Chunyu 10 Vakhnenko, Oleksiy O. 9 Andriopoulos, Kostis 9 Băleanu, Dumitru I. 9 Bihun, Oksana ...and 3,789 more Authors
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### Cited in 478 Journals

 317 Journal of Nonlinear Mathematical Physics 270 Journal of Mathematical Physics 110 Theoretical and Mathematical Physics 106 Applied Mathematics and Computation 104 Journal of Mathematical Analysis and Applications 101 Journal of Geometry and Physics 95 Journal of Differential Equations 79 Communications in Nonlinear Science and Numerical Simulation 76 Advances in Difference Equations 72 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 66 Chaos, Solitons and Fractals 61 Nonlinear Analysis. Real World Applications 60 Abstract and Applied Analysis 54 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 53 Applied Mathematics Letters 52 Letters in Mathematical Physics 49 Physica D 48 International Journal of Geometric Methods in Modern Physics 47 Applicable Analysis 45 Nonlinear Dynamics 42 Discrete and Continuous Dynamical Systems 41 Communications in Mathematical Physics 33 Journal of Mathematical Fluid Mechanics 32 Physics Letters. A 32 Monatshefte für Mathematik 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 32 Journal of Inequalities and Applications 31 Advances in Mathematical Physics 30 Journal of Computational and Applied Mathematics 27 Mathematical Methods in the Applied Sciences 26 Reports on Mathematical Physics 25 Studies in Applied Mathematics 24 Regular and Chaotic Dynamics 23 Wave Motion 23 Journal of Algebra 23 Journal of Physics A: Mathematical and Theoretical 22 Communications in Algebra 22 Acta Applicandae Mathematicae 21 Archive for Rational Mechanics and Analysis 19 Journal of Nonlinear Science 19 Journal of Mathematical Sciences (New York) 19 Mathematical Problems in Engineering 18 Computers & Mathematics with Applications 18 Advances in Mathematics 18 Journal of Applied Mathematics 17 Differential Geometry and its Applications 16 Nonlinearity 16 Journal of Functional Analysis 16 Proceedings of the American Mathematical Society 16 Mathematical Physics, Analysis and Geometry 16 Analysis and Mathematical Physics 15 International Journal of Modern Physics B 15 Journal of Difference Equations and Applications 14 Journal of Engineering Mathematics 14 Nuclear Physics. B 14 Mathematics and Computers in Simulation 14 Chaos 14 Discrete and Continuous Dynamical Systems. Series S 13 Journal of Fluid Mechanics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Quarterly of Applied Mathematics 13 International Journal of Computer Mathematics 13 Linear Algebra and its Applications 13 Russian Journal of Mathematical Physics 13 Journal of High Energy Physics 12 International Journal of Theoretical Physics 12 Journal of Applied Mathematics and Computing 12 Boundary Value Problems 12 Symmetry 12 AIMS Mathematics 11 Journal of Computational Physics 11 Ukrainian Mathematical Journal 11 Communications in Partial Differential Equations 11 Qualitative Theory of Dynamical Systems 11 Waves in Random and Complex Media 11 International Journal of Applied and Computational Mathematics 11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Quaestiones Mathematicae 10 European Journal of Mechanics. B. Fluids 10 Journal of Evolution Equations 10 Journal of Geometric Mechanics 10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Acta Mechanica 9 Journal of Statistical Physics 9 Mathematical Notes 9 Applied Mathematical Modelling 9 Discrete Dynamics in Nature and Society 9 Differential Equations 9 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Algebra and its Applications 9 Journal of Applied Analysis and Computation 8 Mathematische Annalen 8 International Journal of Mathematics 8 Calculus of Variations and Partial Differential Equations 8 Computational and Applied Mathematics 8 Advances in Applied Clifford Algebras 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Mediterranean Journal of Mathematics ...and 378 more Journals
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### Cited in 60 Fields

 1,795 Partial differential equations (35-XX) 1,135 Dynamical systems and ergodic theory (37-XX) 642 Ordinary differential equations (34-XX) 494 Fluid mechanics (76-XX) 321 Mechanics of particles and systems (70-XX) 309 Nonassociative rings and algebras (17-XX) 297 Differential geometry (53-XX) 293 Quantum theory (81-XX) 234 Difference and functional equations (39-XX) 216 Special functions (33-XX) 202 Global analysis, analysis on manifolds (58-XX) 168 Number theory (11-XX) 168 Numerical analysis (65-XX) 124 Statistical mechanics, structure of matter (82-XX) 112 Real functions (26-XX) 100 Combinatorics (05-XX) 93 Geophysics (86-XX) 87 Biology and other natural sciences (92-XX) 82 Associative rings and algebras (16-XX) 74 Mechanics of deformable solids (74-XX) 73 Algebraic geometry (14-XX) 71 Relativity and gravitational theory (83-XX) 68 Operator theory (47-XX) 68 Probability theory and stochastic processes (60-XX) 63 Optics, electromagnetic theory (78-XX) 61 Topological groups, Lie groups (22-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 Functional analysis (46-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 39 Integral equations (45-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 32 Functions of a complex variable (30-XX) 30 Group theory and generalizations (20-XX) 24 Integral transforms, operational calculus (44-XX) 23 Systems theory; control (93-XX) 20 Several complex variables and analytic spaces (32-XX) 19 Approximations and expansions (41-XX) 19 Computer science (68-XX) 18 Manifolds and cell complexes (57-XX) 14 Commutative algebra (13-XX) 14 Geometry (51-XX) 13 Statistics (62-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Information and communication theory, circuits (94-XX) 10 Category theory; homological algebra (18-XX) 9 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 8 Operations research, mathematical programming (90-XX) 7 Field theory and polynomials (12-XX) 7 Astronomy and astrophysics (85-XX) 6 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 2 Abstract harmonic analysis (43-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX)