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Homoclinic Orbit for the Cubic–Quintic Ginzburg–Landau Equation

✍ Scribed by Pengcheng Xu; Qianshun Chang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
298 KB
Volume
10
Category
Article
ISSN
0960-0779

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✦ Synopsis

The GinzburgÐLandau equation with small complex coe.cients is discussed in this paper[ A transformation is introduced to change the equation into a three order\ ordinary di}erential equation and the existence of the homoclinic orbit for this system has been proved by analytical methods[

📜 SIMILAR VOLUMES

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