Symmetry reduction and new non-traveling wave solutions of \((2 + 1)\)-dimensional breaking soliton equation

DOI10.1016/J.CNSNS.2009.08.013zbMath1222.35051OpenAlexW1985240718MaRDI QIDQ720078

Da-Quan Xian

Publication date: 13 October 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.2009.08.013

zbMATH Keywords

symmetrybreaking soliton equationLie group methodhomoclinic test techniquenon-traveling wave explicit solutions

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (6)

Abundant explicit non-traveling wave solutions for the (2+1)-dimensional breaking soliton equation ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation ⋮ Homoclinic breather and rogue wave solutions to Maccari equation ⋮ New Non-Travelling Wave Solutions of Calogero Equation ⋮ Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations ⋮ Bilinear Form andN-Shock-Wave Solutions for a (2+1)-Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function

Cites Work

• Homoclinic breather-wave solutions for sine-Gordon equation
• Explicit solutions of the \(2+1\)-dimensional breaking soliton equation
• Reduction and New Explicit Solutions of (2+1)-Dimensional Breaking Soliton Equation
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