Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system

DOI10.1016/S0960-0779(03)00302-3zbMath1068.35131OpenAlexW2016667737MaRDI QIDQ1877956

Benny Y. C. Hon, En-gui Fan

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00302-3

Mathematics Subject Classification ID

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

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Uses Software

• MACSYMA
• ATFM

Cites Work

• Unnamed Item
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
• A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• Extended tanh-function method and its applications to nonlinear equations
• Solitary wave solutions of nonlinear wave equations
• Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations