On soliton solutions for a generalized Hirota-Satsuma coupled KdV equation

DOI10.1016/j.cnsns.2009.03.011zbMath1221.35358OpenAlexW2079150112MaRDI QIDQ718105

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

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.2009.03.011

zbMATH Keywords

Riccati equationtraveling wave solutionssoliton-like solutionsextended homogeneous balance methodperiodic-like solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (11)

A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations ⋮ Soliton solutions for some nonlinear partial differential equations in mathematical physics using He's variational method ⋮ Conservation laws, soliton solutions for modified Camassa-Holm equation and \((2+1)\)-dimensional ZK-BBM equation ⋮ Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov-Kuznetsov equations ⋮ The Jacobi elliptic function method and its application for two component BKP hierarchy equations ⋮ Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method ⋮ New soliton solutions for a Kadomtsev-Petviashvili (KP) like equation coupled to a Schrödinger equation ⋮ Bifurcation, traveling wave solutions, and stability analysis of the fractional generalized Hirota-Satsuma coupled KdV equations ⋮ Variational approach, soliton solutions and singular solitons for new coupled ZK system ⋮ 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

Cites Work

• New exact traveling wave solutions of the \((3 + 1)\) dimensional Kadomtsev-Petviashvili (KP) equation
• New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations
• A new note on a homogeneous balance method
• Exact travelling wave solutions for the generalized shallow water wave equation.
• Two new applications of the homogeneous balance method
• New exact solutions for a generalized variable coefficients 2D KdV equation
• Solitary wave solutions for variant Boussinesq equations
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Exact solutions for a compound KdV-Burgers equation
• Exact traveling wave solutions of the Boussinesq-Burgers equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

This page was built for publication: On soliton solutions for a generalized Hirota-Satsuma coupled KdV equation