A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations
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Publication:370229
DOI10.1155/2013/810363zbMath1275.65035OpenAlexW1979977626WikidataQ58917513 ScholiaQ58917513MaRDI QIDQ370229
Publication date: 19 September 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/810363
traveling wave solutionstrigonometric function solutionshyperbolic function solutionsdiscrete \((2 + 1)\)-dimensional Toda lattice equationnonlinear differential-difference equationsrational function solutionsvariable-coefficient Riccati subequation method
Lattice functional-differential equations (34K31) Numerical methods for functional-differential equations (65L03)
Uses Software
Cites Work
- Rational Jacobi elliptic solutions for nonlinear differential-difference lattice equations
- The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations
- Exponential function rational expansion method for nonlinear differential-difference equations
- Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system
- Discrete tanh method for nonlinear difference-differential equations
- The exponential function rational expansion method and exact solutions to nonlinear lattice equations system
- A note on the \(G'/G\)-expansion method
- The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations
- Variable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method for nonlinear differential-difference equations
- Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
- Adomian decomposition method for nonlinear differential-difference equations
- A discrete generalization of the extended simplest equation method
- Exact solitary waves of the Fisher equation
- Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
- Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method
- Theory of nonlinear lattices
- Combined Wronskian solutions to the 2D Toda molecule equation
- Simplest equation method to look for exact solutions of nonlinear differential equations
- Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
- Nonlinear differential−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