New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation

DOI10.1016/j.amc.2009.06.038zbMath1203.35273OpenAlexW1973148481MaRDI QIDQ609298

Zi-Tian Li

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.038

zbMATH Keywords

Ginzburg-Landau equationperiodic wave\((\frac{G'}{G})\)-expansion methodauxiliary function methodhomoclinic wave

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Ginzburg-Landau equations (35Q56) Trigonometric solutions to PDEs (35C09)

Related Items (6)

Multidromion soliton and rouge wave for the \((2 + 1)\)-dimensional Broer-Kaup system with variable coefficients ⋮ Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity ⋮ Construction of new exact solutions for the (3 + 1)-dimensional Burgers system ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ New kink-shaped solutions and periodic wave solutions for the \((2+1)\)-dimensional sine-Gordon equation ⋮ Breather type of chirped soliton solutions for the 2D Ginzburg-Landau equation

Cites Work

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• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method
• Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
• The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On the generation of waves by wind

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