Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method

DOI10.1016/j.amc.2009.09.056zbMath1186.34004OpenAlexW2094704954MaRDI QIDQ1047891

İsmail Aslan

Publication date: 8 January 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/2236

zbMATH Keywords

discrete nonlinear Schrödinger equation\((G'/G)\)-expansion methodlattice equationToda lattice equationnonlinear differential-difference equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Explicit solutions, first integrals of ordinary differential equations (34A05) Ordinary lattice differential equations (34A33) Lattice functional-differential equations (34K31)

Related Items

A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations ⋮ Observations on the basic \((G'/G)\)-expansion method for finding solutions to nonlinear evolution equations ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Some exact solutions for Toda type lattice differential equations using the improved (G′/G)-expansion method ⋮ Analytic investigation of the \((2+1)\)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions ⋮ The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations ⋮ Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ Exact solutions for fractional partial differential equations by a new fractional sub-equation method ⋮ Variable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method for nonlinear differential-difference equations ⋮ The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method ⋮ Exact solutions of some systems of fractional differential-difference equations ⋮ The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system

Uses Software

• DDESpecialSolutions

Cites Work

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