Some solutions of discrete sine-Gordon equation

DOI10.1016/j.chaos.2006.03.018zbMath1129.35456OpenAlexW2085203413MaRDI QIDQ2468898

Min Ji, Fuding Xie, Hong Zhao

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.018

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Additive difference equations (39A10)

Related Items (12)

Discrete tanh method for nonlinear difference-differential 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 ⋮ Variable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method for nonlinear differential-difference equations ⋮ Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs ⋮ The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method ⋮ A discrete generalization of the extended simplest equation method ⋮ Traveling Wave Solutions for Nonlinear Differential-Difference Equations of Rational Types ⋮ The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system ⋮ Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method

Cites Work

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• Symmetry approach to the integrability problem
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• A new method for solving nonlinear differential-difference equations
• Exact solutions to sine-Gordon-type equations
• Master symmetries for differential-difference equations of the Volterra type
• Theory of nonlinear lattices.
• The tanh method and a variable separated ODE method for solving double sine-Gordon equation
• To a transformation theory of two-dimensional integrable systems
• On Study of Solutions of Kac-van Moerbeke Lattice and Self-dual Network Equations
• Nonlinear differential−difference equations
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice

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