Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation
✍ Scribed by Zhen-xiang Dai; Yuan-fen Xu
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 704 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0253-4827
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📜 SIMILAR VOLUMES
The one-dimensional (1D) generalized modified complex Ginzburg-Landau (MCGL) equation for the traveling wave systems is analytically studied. Exact solutions of this equation are obtained using a method which combines the Painlev e e test for integrability in the formalism of Weiss-Tabor-Carnevale a
Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation (CGLE). These correspond to plane waves of the PDE. In addition to the most general situation, we also derive the degeneracy condit