On Darboux-Bäcklund Transformation and Positon Type Solution of Coupled Nonlinear Optical Waves

• Authors: D.C. Sen , A.R. Chowdhury
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.30.+g; 52.35.Mw; 52.35.Sb

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2000
• Volume: 98
• Issue: 1-2
• Pages: 3-10

Dates

published

2000-07

received

1999-04-08

(unknown)

1999-09-23

(unknown)

2000-02-18

Contributors

author

D.C. Sen

• High Energy Physics Division, Department of Physics, Jadavpur University Calcutta-700032, India

author

A.R. Chowdhury

• High Energy Physics Division, Department of Physics, Jadavpur University Calcutta-700032, India