AUXILIARY EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR EVOLUTION EQUATIONS

DOI10.1142/S0129183103005200zbMath1079.35541OpenAlexW2025092238MaRDI QIDQ5699952

Sirendaoreji, Sun Jiong

Publication date: 27 October 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183103005200

zbMATH Keywords

symbolic computationtravelling wave solutionAuxiliary equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Explicit and exact solutions for the generalized reaction Duffing equation
• Solitary wave solutions for variant Boussinesq equations
• A simple transformation for nonlinear waves.
• Mathematics of dispersive water waves
• Extended tanh-function method and its applications to nonlinear equations
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Solitary wave solutions of nonlinear wave equations
• A symmetric regularized-long-wave equation
• Variational methods and applications to water waves
• Model equations for long waves in nonlinear dispersive systems
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations

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