New exact travelling wave solutions to the complex coupled KdV equations and modified KdV equation

DOI10.1016/j.cnsns.2007.03.007zbMath1221.35381OpenAlexW1999590091MaRDI QIDQ718768

Huiqun Zhang

Publication date: 24 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.2007.03.007

zbMATH Keywords

exact complex solutionsauxiliary ordinary differential equationgeneral nonlinear equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (5)

Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions ⋮ A new sub-equation method applied to obtain exact travelling wave solutions of some complex nonlinear equations ⋮ Unnamed Item ⋮ Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow. I ⋮ A systematic method for solving differential-difference equations

Cites Work

• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
• A series of new exact solutions for a complex coupled KdV system
• On exact solutions of the coupled Klein--Gordon--Schrödinger and the complex coupled KdV equations using mapping method
• Solitary wave solutions for variant Boussinesq equations
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations
• Nonlinear evolution of lower hybrid waves
• A List of 1 + 1 Dimensional Integrable Equations and Their Properties
• Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation

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