Exact solutions of discrete complex cubic Ginzburg-Landau equation via extended tanh-function approach

DOI10.1016/j.camwa.2007.11.031zbMath1145.65325OpenAlexW2013548571MaRDI QIDQ950025

Sheng-Sheng Wu, Xu Cen, Chao-Qing Dai

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.031

zbMATH Keywords

exact solutionsnonlinear differential-difference equationsdiscrete complex cubic Ginzburg-Landau equationextended tanh-function approachrange of parameters

Mathematics Subject Classification ID

Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Numerical studies based on higher-order accuracy lattice Boltzmann model for the complex Ginzburg-Landau equation ⋮ Dissipative localised structures for the complex discrete Ginzburg-Landau equation ⋮ Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation ⋮ Domain wall arrays, fronts, and bright and dark solitons in a generalized derivative nonlinear Schrödinger equation ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation

Cites Work

• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Jacobian elliptic function method for nonlinear differential-difference equations
• Motion and stability properties of solitons in discrete dissipative structures
• The world of the complex Ginzburg-Landau equation
• A Nonlinear Difference Scheme and Inverse Scattering

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