Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation

DOI10.1016/J.CHAOS.2009.03.186zbMath1198.35016OpenAlexW1967809276MaRDI QIDQ603496

Wang-Chuan Ye, Biao Li

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.186

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Symmetry study of the coupled Burgers system
• Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations
• On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics
• Do symmetry constraints yield exact solutions?
• Nonlinear eigenvalue problems with symmetry
• Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation
• Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method
• New similarity reductions of the Boussinesq equation
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Water waves and Korteweg–de Vries equations
• Invariances and Conservation Laws of the Korteweg‐de Vries Equation
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

This page was built for publication: Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation