Abundant families of new traveling wave solutions for the coupled Drinfel'd-Sokolov-Wilson equation

DOI10.1016/j.chaos.2004.09.024zbMath1062.35018OpenAlexW1967978011MaRDI QIDQ1775714

Yu-Qin Yao

Publication date: 4 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.2004.09.024

zbMATH Keywords

singular solutionskink-shaped solutionsbell-shaped solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Solutions to PDEs in closed form (35C05) Overdetermined systems of PDEs with variable coefficients (35N10)

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Cites Work

• New exact solutions for three nonlinear evolution equations
• Travelling-wave solutions of coupled nonlinear evolution equations
• 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
• Solitary wave solutions of nonlinear wave equations
• Soliton structure of the Drinfel’d–Sokolov–Wilson equation
• An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
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