A discrete generalization of the extended simplest equation method

DOI10.1016/j.cnsns.2009.08.008zbMath1222.65114OpenAlexW2004944012MaRDI QIDQ720065

İsmail Aslan

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/2705

zbMATH Keywords

extended simplest equation methoddifferential-difference equationlattice equationWadati lattice equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33) Traveling wave solutions (35C07)

Related Items (12)

On traveling waves in lattices: the case of Riccati lattices ⋮ A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations ⋮ Some exact solutions for Toda type lattice differential equations using the improved (G′/G)-expansion method ⋮ OPTICAL SOLITON WAVE SOLUTIONS OF THE FRACTIONAL COMPLEX PARAXIAL WAVE DYNAMICAL MODEL ALONG WITH KERR MEDIA ⋮ Comment on: ``The (G\(^{\prime}\)/G)-expansion method for the nonlinear lattice equations ⋮ Exact solutions for nonlinear differential difference equations in mathematical physics ⋮ The modified rational Jacobi elliptic functions method for nonlinear differential difference equations ⋮ Jacobi elliptic solutions for nonlinear differential difference equations in mathematical physics ⋮ Rational Jacobi elliptic solutions for nonlinear differential-difference lattice equations ⋮ Construction of exact solutions for fractional-type difference-differential equations via symbolic computation ⋮ The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method ⋮ The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system

Uses Software

• DDESpecialSolutions

Cites Work

• Discrete tanh method for nonlinear difference-differential equations
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• A new method for constructing soliton solutions to differential-difference equation with symbolic computation
• Be careful with the Exp-function method
• A new method for solving nonlinear differential-difference equations
• Exact solitary waves of the Fisher equation
• The homotopy perturbation method for discontinued problems arising in nanotechnology
• ADM-Padé technique for the nonlinear lattice equations
• Multi-component Volterra and Toda type integrable equations
• Extended simplest equation method for nonlinear differential equations
• Some solutions of discrete sine-Gordon equation
• Simplest equation method to look for exact solutions of nonlinear differential equations
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Periodic Solutions for a Class of Nonlinear Differential-Difference Equations
• Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions

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