Seenuvasakumaran, P. ; Mahalingam, A. ; Porsezian, K. (2008) Dark solitons in N-coupled higher order nonlinear Schrödinger equations Communications in Nonlinear Science and Numerical Simulation, 13 (7). pp. 1318-1328. ISSN 1007-5704
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.cnsns.2006.07.014
Abstract
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 Schrödinger equations. Using Painlevé 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Complete Integrable System; Third Order Dispersion; Stimulated Raman Scattering; Lax Pair; Painlevé Analysis |
| ID Code: | 83959 |
| Deposited On: | 23 Feb 2012 12:47 |
| Last Modified: | 23 Feb 2012 12:47 |
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