New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations

DOI10.1016/j.amc.2008.10.064zbMath1159.35406OpenAlexW2046764041MaRDI QIDQ1002297

Mohammed Khalfallah, A. H. Khater, A. S. Abdel Rady, El-Sayed Osman

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.064

zbMATH Keywords

Jacobi elliptic functionsoliton solutioncoupled Korteweg-de Vries equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51)

Related Items (14)

A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations ⋮ Extended Jacobi elliptic function expansion solutions of variant Boussinesq equations ⋮ The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation ⋮ Soliton solutions for some nonlinear partial differential equations in mathematical physics using He's variational method ⋮ The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials ⋮ The Jacobi elliptic function method and its application for two component BKP hierarchy equations ⋮ New soliton solutions for a Kadomtsev-Petviashvili (KP) like equation coupled to a Schrödinger equation ⋮ Variational approach, soliton solutions and singular solitons for new coupled ZK system ⋮ On soliton solutions for a generalized Hirota-Satsuma coupled KdV equation ⋮ Multi-soliton solution, rational solution of the Boussinesq-Burgers equations ⋮ New periodic wave and soliton solutions for a Kadomtsev-Petviashvili (KP) like equation coupled to a Schrödinger equation ⋮ Derivation of soliton solutions to nonlinear evolution equations using He's variational principle ⋮ Multi soliton solution for the system of coupled Korteweg-de Vries equations ⋮ On soliton solutions of the \((2+1)\) dimensional Boussinesq equation

Cites Work

• Exact solutions for some nonlinear partial differential equations
• New transformations and new approach to find exact solutions to nonlinear equations
• Solitary wave solutions for variant Boussinesq equations
• A simple transformation for nonlinear waves.
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Extended tanh-function method and its applications to nonlinear equations
• Exact envelope-soliton solutions of a nonlinear wave equation
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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