Soliton-like solutions for the modified variable-coefficient Ginzburg-Landau equation

DOI10.1016/j.cnsns.2008.01.011zbMath1221.35315OpenAlexW1970933842MaRDI QIDQ716651

Bo Tian, Ye-Zhou Li, Jian-guo Liu

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.01.011

zbMATH Keywords

symbolic computationGinzburg-Landau equationsoliton-like solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

High-order compact ADI method using predictor-corrector scheme for 2D complex Ginzburg-Landau equation ⋮ Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation ⋮ Optical solitons with time-dependent dispersion, nonlinearity and attenuation in a Kerr-law media

Cites Work

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• Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
• On exact solutions of modified complex Ginzburg-Landau equation
• Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation
• New similarity reductions of the Boussinesq equation
• New similarity solutions for the modified Boussinesq equation
• Nonlinear Schrödinger equation including growth and damping
• Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
• On the nonlinear response of a marginally unstable plane parallel flow to a two-dimensional disturbance
• Stability of non-Boussinesq convection via the complex Ginzburg–Landau model

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