Rational formal solutions of hybrid lattice equation

DOI10.1016/J.AMC.2006.07.112zbMath1114.65083OpenAlexW1989297847MaRDI QIDQ876617

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.112

zbMATH Keywords

algorithm symbolic computation Maple periodic wave solutions solitary wave solutions differential-difference equations hybrid lattice equation rational formal solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

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Cites Work

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Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
Master symmetries for differential-difference equations of the Volterra type
Darboux transformations for discrete systems
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A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
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The Bäcklund transformation and novel solutions for the Toda lattice
To a transformation theory of two-dimensional integrable systems
The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations
A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
Conditions for the existence of higher symmetries of evolutionary equations on the lattice
Construction scheme for discrete Miura transformations
Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations

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