Dark solitons in N-coupled higher order nonlinear Schrödinger equations

✍ Scribed by P. Seenuvasakumaran; A. Mahalingam; K. Porsezian

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 278 KB
• Volume: 13
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2006.07.014

✦ Synopsis

By considering the third order dispersion, self-steepening and stimulated Raman scattering effects, we analyse the dark soliton propagation in N-coupled higher order nonlinear Schro ¨dinger equations. Using Painleve ´analysis, we prove that this system is completely integrable. The result is confirmed further by the presentation of Lax pair. Using the Hirota method, the construction of soliton solution is discussed.