Radhakrishnan, R. ; Lakshmanan, Muthusamy (1995) Bright and dark soliton solutions to coupled nonlinear Schrodinger equations Journal of Physics A: Mathematical & General, 28 (9). pp. 2683-2692. ISSN 1751-8121
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Official URL: http://iopscience.iop.org/0305-4470/28/9/025
Related URL: http://dx.doi.org/10.1088/0305-4470/28/9/025
Abstract
A set of two coupled nonlinear Schrodinger equations (CNLS) describes the two mode propagation in an optical fibre. The Painleve singularity structure analysis singles out two integrable parametric choices, including the Manakov model. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CNLS equations in both the anomalous as well as normal dispersion regions for the integrable cases. Solving the Hirota bilinear equations, bright and dark N-soliton solutions are explicitly obtained.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics Publishing. |
| ID Code: | 19345 |
| Deposited On: | 22 Nov 2010 12:45 |
| Last Modified: | 26 Feb 2011 10:30 |
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