Variable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method for nonlinear differential-difference equations

DOI10.1016/J.PHYSLETA.2011.07.022zbMath1252.37062OpenAlexW1997557868MaRDI QIDQ691898

Bo Tang, Leilei Wei, Shaoli Wang, Yin-Nian He

Publication date: 4 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.07.022

zbMATH Keywords

rational solutionhyperbolic function solutiontrigonometric function solutionnonlinear differential-difference equationvariable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Trigonometric approximation (42A10) Approximation by rational functions (41A20) Approximation by polynomials (41A10) Exponential and trigonometric functions (33B10) Trigonometric solutions to PDEs (35C09)

Related Items (6)

A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations ⋮ Exact solutions for a coupled discrete nonlinear Schrödinger system with a saturation nonlinearity ⋮ Nonlinear differential equations of the second, third and fourth order with exact solutions ⋮ The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations ⋮ Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative ⋮ Exact solutions of some systems of fractional differential-difference equations

Cites Work

• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Discrete tanh method for nonlinear difference-differential equations
• A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• A generalized \((\frac{G'}{G})\)-expansion method and its applications
• The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method
• Exact travelling wave solutions for the Zakharov-Kuznetsov equation
• The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
• ADM-Padé technique for the nonlinear lattice equations
• Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method
• Some solutions of discrete sine-Gordon equation
• The conserved quantities and symmetries of the two-dimensional Toda lattice hierarchy
• Periodic Solutions for a Class of Nonlinear Differential-Difference Equations
• Integrable semi-discretization of the coupled modified KdV equations
• New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water

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