Symmetry computation and reduction of a wave model in \(2+1\) dimensions

DOI10.1007/s11071-016-2997-5zbMath1371.37124arXiv1510.04962OpenAlexW2517338439MaRDI QIDQ2407798

J. D. Lejarreta, Cristina Sardón, Pilar G. Estevez

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1510.04962

zbMATH Keywords

reductionnonlinearKdV equationsolitonPainlevé testLie symmetries

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation ⋮ Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries ⋮ A (2+1)-dimensional shallow water equation and its explicit lump solutions ⋮ A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions ⋮ Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions

Uses Software

• DLMF

Cites Work

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• Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities
• Exact \(N\)-soliton solutions and dynamics of a new AKNS equation with time-dependent coefficients
• Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
• Evolution of lump solutions for the KP equation
• Classical and nonclassical symmetries for the Helmholtz equation
• The role of symmetries in solving differential equations
• Nonclassical symmetries of evolutionary partial differential equations and compatibility.
• Nonclassical symmetries as special solutions of heir-equations
• Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions
• OVERTURNING SOLITONS IN NEW TWO-DIMENSIONAL INTEGRABLE EQUATIONS
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• N-soliton solutions to a -dimensional integrable equation
• On the reduction methods for ordinary differential equations
• Non-isospectral problem in (2 + 1) dimensions
• New higher-dimensional fifth-order nonlinear equations with multiple soliton solutions
• Lump Solutions for PDE's: Algorithmic Construction and Classification
• Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions
• Nonclassical potential solutions of partial differential equations

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