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Motion of pulses and vortices in the cubic–quintic complex Ginzburg–Landau equation without viscosity

✍ Scribed by Hidetsugu Sakaguchi


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
375 KB
Volume
210
Category
Article
ISSN
0167-2789

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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