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The traveling wave solutions of the perturbed nonlinear Schrödinger equation and the cubic–quintic Ginzburg Landau equation using the modified -expansion method

✍ Scribed by A.R. Shehata


Book ID
108051770
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
226 KB
Volume
217
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES


Traveling hole solutions to the complex
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We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrrdinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.

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