A note on a class of solitary-like solutions of the Tzitzéica equation generated by a similarity reduction

DOI10.1016/j.physd.2007.12.008zbMath1147.35085OpenAlexW2070183849MaRDI QIDQ928948

Alfred Huber

Publication date: 11 June 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.12.008

zbMATH Keywords

nonlinear partial differential equationssimilarity solutionsTzitzéica equationLie group formalismsolitary-like solutions

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)

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A new time dependent approach for solving electrochemical interfaces. I: Theoretical considerations using Lie group analysis ⋮ A novel algebraic procedure for solving non-linear evolution equations of higher order ⋮ A generalized exponential transform method for solving non-linear evolution equations of physical relevance ⋮ Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation ⋮ The Cavalcante-Tenenblat equation - Does the equation admits physical significance? ⋮ On non-linear evolution equations of higher order - the introduction and application of a novel computational approach ⋮ The sine-Gordon-equation with perturbation terms of power Jacobian elliptic functions

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