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Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation

✍ Scribed by Kapitula, Todd; Sandstede, Björn

Book ID
115395690
Publisher
Optical Society of America
Year
1998
Tongue
English
Weight
236 KB
Volume
15
Category
Article
ISSN
0740-3224

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Bifurcations of plane wave (CW) solution
Bifurcations of plane wave (CW) solutions in the complex cubic–quintic Ginzburg–Landau equation
✍ 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