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Exact solutions in nonlinearly coupled cubic–quintic complex Ginzburg–Landau equations

✍ Scribed by Emmanuel Yomba; Gholam-Ali Zakeri


Book ID
119348005
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
849 KB
Volume
377
Category
Article
ISSN
0375-9601

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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