A note on new solitary and similarity class of solutions of a fourth-order non-linear evolution equation

DOI10.1016/J.AMC.2008.03.032zbMath1156.35399OpenAlexW2026272467MaRDI QIDQ942408

Alfred Huber

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.032

zbMATH Keywords

manifolds of solutionssimilarity solutionsLie group formalismsolitary class of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Solutions to PDEs in closed form (35C05)

Related Items (4)

A new time dependent approach for solving electrochemical interfaces. I: Theoretical considerations using Lie group analysis ⋮ 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

Cites Work

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• On class of solutions of nonlinear partial differential equation of sixth order generated by a classical and non-classical symmetry analysis
• Solitary solutions of some nonlinear evolution equations
• A novel class of solutions for a nonlinear third order wave equation generated by the Weierstraß transformation
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations

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