Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation

DOI10.1016/j.chaos.2006.09.030zbMath1143.35357OpenAlexW1994479027MaRDI QIDQ2426944

Zhu Li, Huan He Dong

Publication date: 14 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.09.030

zbMATH Keywords

sine-Gordon equationtravelling wave solutionsJacobi elliptic function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05)

Related Items (3)

EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED HIROTA–SATSUMA COUPLED KdV EQUATION ⋮ New generalized Jacobi elliptic function rational expansion method ⋮ A generalized Weierstrass elliptic function expansion method for solving some nonlinear partial differential equations

Cites Work

• Darboux transformations of classical Boussinesq system and its new solutions
• Abundant families of new traveling wave solutions for the coupled Drinfel'd-Sokolov-Wilson equation
• New double periodic and multiple soliton solutions of the generalized \((2 + 1)\)-dimensional Boussinesq equation
• Extended tanh-function method and its applications to nonlinear equations
• An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems

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