The complex cubic--quintic Ginzburg--Landau equation: Hopf bifurcations yielding traveling waves

DOI10.1016/j.matcom.2006.10.022zbMath1111.35081OpenAlexW1996860648MaRDI QIDQ875325

S. Roy Choudhury, Stefan C. Mancas

Publication date: 13 April 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.022

zbMATH Keywords

stabilityperiodic orbitsHopf bifurcationhomoclinic orbits

Mathematics Subject Classification ID

Related Items (6)

Exact solitary wave and periodic-peakon solutions of the complex Ginzburg-Landau equation: dynamical system approach ⋮ Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity ⋮ Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation ⋮ Dissipative periodic and chaotic patterns to the KdV-Burgers and Gardner equations ⋮ Standing waves of the complex Ginzburg-Landau equation ⋮ Existence of standing waves for the complex Ginzburg-Landau equation

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