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Stability of shock waves in the modified quintic complex Ginzburg-Landau equation

✍ Scribed by F. B. Pelap; A. J. Kenfack; M. M. Faye


Book ID
106487463
Publisher
Springer US
Year
2007
Tongue
English
Weight
185 KB
Volume
10
Category
Article
ISSN
1536-0059

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Bifurcations of plane wave (CW) solution
✍ Stefan C. Mancas; S.Roy Choudhury 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 293 KB

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