Extended Jacobi elliptic function expansion method and its application to nonlinear evolution equation

DOI10.1016/j.chaos.2008.06.006zbMath1198.35243OpenAlexW2048885646MaRDI QIDQ602465

Dazhao Lü, Xiao-Yong Wen

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.06.006

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Other special methods applied to PDEs (35A25) Boltzmann equations (35Q20)

Related Items (4)

Weakly nonlinear waves propagating in hyperelastic cylindrical rod tranquility of compressible Murnaghan material ⋮ Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations ⋮ \(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system ⋮ Meromorphic solutions of nonlinear ordinary differential equations

Uses Software

• ATFM

Cites Work

• Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations
• Elimination methods
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
• Exact solutions for a compound KdV-Burgers equation
• A simple transformation for nonlinear waves.
• Jacobi elliptic function solutions for two variant Boussinesq equations
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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