Symmetries for a family of Boussinesq equations with nonlinear dispersion

DOI10.1016/j.cnsns.2009.01.005zbMath1221.35326OpenAlexW2067034859MaRDI QIDQ717953

Maria de los Santos Bruzon Gallego, Maria Luz Gandarias

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.01.005

zbMATH Keywords

exact solutionshidden symmetriesnonclassical symmetriespotential symmetries

Mathematics Subject Classification ID

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

Related Items

Symmetry Analysis and Conservation Laws of a Family of Boussinesq Equations, New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method, Unnamed Item, Lie Point Symmetries and Travelling Wave Solutions for the Generalized Drinfeld–Sokolov System, Conservation laws for a Boussinesq equation., New solutions for solving Boussinesq equation via potential symmetries method, Travelling wave solutions for a generalized double dispersion equation, \(Q\)-symmetry and conditional \(Q\)-symmetries for Boussinesq equation, Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation, Potential method applied to Boussinesq equation, Group-theoretical framework for potential symmetries of evolution equations, Group classification and exact solutions of generalized modified Boussinesq equation

Uses Software

• SYM
• SYMMGRP.MAX

Cites Work

• Unnamed Item
• Unnamed Item
• Compact and noncompact dispersive patterns
• The computer calculation of Lie point symmetries of large systems of differential equations
• Provenance of Type II hidden symmetries from nonlinear partial differential equations
• Nonlinear Dispersion and Compact Structures
• Classical and Nonclassical Symmetries of a Generalized Boussinesq Equation