On shifted periodic solutions of two nonlinear equations

DOI10.1016/j.chaos.2004.06.042zbMath1070.35064OpenAlexW1968188478MaRDI QIDQ1776638

Xian-Jing Lai, Jie-Fang Zhang

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.042

zbMATH Keywords

Jacobi elliptic functionsKadomtsev-Petviashvili equationmodified Zakharov-Kuznetsov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

Novel interacting phenomena in (2+1) dimensional AKNS system

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
• Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
• New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
• Solitary wave solutions of nonlinear wave equations
• Periodic solutions of nonlinear equations obtained by linear superposition
• Cyclic identities involving Jacobi elliptic functions
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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