A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations

DOI10.1016/j.physleta.2007.07.064zbMath1217.35154OpenAlexW2049755530MaRDI QIDQ552623

Guo-Cheng Wu, Tie-cheng Xia

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.064

zbMATH Keywords

periodic solutionssoliton solutionsnonlinear evolution equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Nonlinear evolution equations (47J35)

Related Items

The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations ⋮ Hyperbolic, trigonometric, and rational function solutions of Hirota-Ramani equation via \((G'/G)\)-expansion method ⋮ Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation ⋮ Lie symmetries and conservation laws of the Hirota-Ramani equation ⋮ The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations ⋮ Solitary-wave solutions of the Klein-Gordon equation with quintic nonlinearity ⋮ A modified form of \(\left(\frac{G^\prime}{G}\right)\)-expansion method and its application to potential Kadomtsev-Petviashvili (PKP) equation ⋮ Uniformly constructing soliton solutions and periodic solutions to Burgers-Fisher equation ⋮ A new expansion and new families of exact traveling solutions to Hirota equation

Cites Work

• Generalized tanh method with symbolic computation and generalized shallow water wave equation
• A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations
• Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
• On a New Modified Extended Tanh-Function Method
• Exact solutions for some coupled nonlinear equations. II
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations