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Bifurcations and competing coherent structures in the cubic-quintic Ginzburg–Landau equation I: Plane wave (CW) solutions

✍ Scribed by Stefan Mancas; S. Roy Choudhury


Book ID
108088546
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
309 KB
Volume
27
Category
Article
ISSN
0960-0779

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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