Symmetry reductions of the Lax pair for the 2 + 1-dimensional Konopelchenko-Dubrovsky equation

DOI10.1016/j.amc.2009.01.016zbMath1170.35525OpenAlexW2062268979MaRDI QIDQ1021557

Hongyan Zhi

Publication date: 8 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.016

zbMATH Keywords

Lax pairsymmetry reductionKonopelchenko-Dubrovsky equationclassical Lie group approach

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (6)

Symmetry reductions of a nonisospectral Lax pair for a \((2+1)\)-dimensional breaking soliton system ⋮ On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory ⋮ Soliton solutions of KD system using similarity transformations method ⋮ Symmetry reductions of \((2+1)\)-dimensional CDGKS equation and its reduced Lax pairs

Uses Software

• Maple

Cites Work

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• Symmetries and exact solutions of the Sharma-Tass-Olver equation
• New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
• Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
• Lie point symmetry and some new soliton-like solutions of the Konopelchenko-Dubrovsky equations
• Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
• Rigorous bounds on the power spectrum of arbitrary prime eta -order renormalisation group equations
• Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy
• Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean Self-Dual Yang-Mills Equations
• Symmetries and differential equations

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