On Darboux-Bäcklund Transformation and Positon Type Solution of Coupled Nonlinear Optical Waves |
| D.C. Sen and A.R. Chowdhury High Energy Physics Division, Department of Physics, Jadavpur University Calcutta-700032, India Received: April 8, 1999; revised version September 23, 1999; in final form February 18, 2000 |
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| A Darboux-Bäcklund transformation is used to obtain a positon type solution of the nonlinear equations describing the propagation of coupled nonlinear optical pulses.This form of the positon solution is then compared with that obtained by the special limiting procedure applied to a two-soliton solution. It is observed that though the algebraic form of the two solutions is different yet both of these have singularities and the position of the singularities remains on the similar curve in the (x,t) plane. We also depict the form of these solutions graphically. Finally, it may be added that the method of Darboux-Bäcklund transformation is convenient for generating more than one-positon solution. |
| DOI: 10.12693/APhysPolA.98.3 PACS numbers: 02.30.+g, 52.35.Sb, 52.35.Mw |