The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method
From MaRDI portal
Publication:984299
DOI10.1016/j.amc.2010.03.124zbMath1193.35179OpenAlexW2021693300MaRDI QIDQ984299
Publication date: 19 July 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.124
lattice equationnonlinear differential-difference equationAblowitz-Ladik lattice systemextended (\(G^{\prime}/G\))-expansion method
KdV equations (Korteweg-de Vries equations) (35Q53) Methods of ordinary differential equations applied to PDEs (35A24) Partial difference equations (39A14)
Related Items (7)
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 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 ⋮ The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations ⋮ Extended mixed function method and its application for solving two classic Toda lattice 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
- 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
- A discrete generalization of the extended simplest equation method
- Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method
- The homotopy perturbation method for discontinued problems arising in nanotechnology
- Application of the \(G^{\prime}/G\)-expansion method to Kawahara type equations using symbolic computation
- The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
- A generalized \((\frac {G^\prime}{G})\)-expansion method and its application to the (2 + 1)-dimensional Broer-Kaup equations
- Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
- ADM-Padé technique for the nonlinear lattice equations
- On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations
- Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method
- Theory of nonlinear lattices.
- Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
- Some solutions of discrete sine-Gordon equation
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- A Nonlinear Difference Scheme and Inverse Scattering
- Periodic Solutions for a Class of Nonlinear Differential-Difference Equations
- Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics
- Application of ModifiedG′/G-Expansion Method to Traveling Wave Solutions for Whitham–Broer–Kaup-Like Equations
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
This page was built for publication: The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method