Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity

DOI10.1007/S11071-016-2759-4zbMath1355.35007OpenAlexW2322637261MaRDI QIDQ347346

Sachin Kumar

Publication date: 30 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2759-4

zbMATH Keywords

exact solutionsPainlevé analysisLie symmetriesVakhnenko-Parkes equation with power law nonlinearity

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear evolution equations (47J35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (7)

Lie symmetry analysis of a stochastic gene evolution in double-chain deoxyribonucleic acid system ⋮ On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system ⋮ Invariant solutions of Biswas-Milovic equation ⋮ Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation ⋮ The integrable Vakhnenko-Parkes (VP) and the modified Vakhnenko-parkes (MVP) equations: multiple real and complex soliton solutions ⋮ Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method ⋮ Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics

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