Symmetry reduction and soliton-like solutions for the generalized Korteweg-de Vries equation

DOI10.1134/S1995080218090366zbMath1417.35162arXiv1701.08460OpenAlexW2584425921MaRDI QIDQ669526

Juan-Miguel Gracia

Publication date: 15 March 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08460

zbMATH Keywords

symmetriessolitongeneralized Korteweg-de Vries equationsimilarity reduction

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie (super)algebras to physics, etc. (17B81) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Cites Work

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• Similarity methods for differential equations
• Solitary wave evolution for mKdV equations
• On the (generalized) Korteweg-de Vries equation
• Symmetry properties of a generalized Korteweg-de Vries equation and some explicit solutions
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Symmetry classification of KdV-type nonlinear evolution equations
• Symmetries and differential equations

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