The application of He's exp-function method to a nonlinear differential-difference equation

DOI10.1016/j.chaos.2008.02.021zbMath1198.65136OpenAlexW2064752162WikidataQ115359339 ScholiaQ115359339MaRDI QIDQ602353

Xu Cen, Chao-Qing Dai, Sheng-Sheng Wu

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.2008.02.021

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (5)

Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation ⋮ Exact solutions for a third-order KdV equation with variable coefficients and forcing term ⋮ Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs

Cites Work

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• A new method for constructing soliton solutions to differential-difference equation with symbolic computation
• Jacobian elliptic function method for nonlinear differential-difference equations
• A new method for solving nonlinear differential-difference equations
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Multi-component Volterra and Toda type integrable equations
• Rational formal solutions of differential-difference equations
• Application of Fibonacci tane function to nonlinear differential-difference equations
• Exact discrete soliton solutions of the nonlinear differential-difference equations
• Computation of densities and fluxes of nonlinear differential‐difference equations
• TRAVELLING WAVE SOLUTIONS TO THE COUPLED DISCRETE NONLINEAR SCHRÖDINGER EQUATIONS
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Lectures on the Inverse Scattering Transform

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