Similarity reduction, nonlocal and master symmetries of sixth order Korteweg–deVries equation

DOI10.1063/1.3126486zbMath1187.35223OpenAlexW2004641333MaRDI QIDQ3565273

R. Sahadevan, L. Nalinidevi

Publication date: 3 June 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3126486

zbMATH Keywords

Lie groupsKorteweg-de Vries equationpartial differential equationsmaster equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

Integrability and Lie symmetry analysis of deformed \(N\)-coupled nonlinear Schrödinger equations ⋮ Conservation laws of deformed \(N\)-coupled nonlinear Schrödinger equations and deformed \(N\)-coupled Hirota equations ⋮ The generalized Kupershmidt deformation for constructing new discrete integrable systems ⋮ Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves ⋮ Integrability and group theoretical aspects of deformed \(N\)-coupled Hirota equations ⋮ New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials ⋮ Mixed hierarchy of soliton equations ⋮ Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators ⋮ Solving negative and mixed Toda hierarchies by Jacobi inversion problems ⋮ The geometric property of soliton solutions for the integrable KdV6 equations ⋮ N-soliton solutions of the KdV6 and mKdV6 equations

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