Complex short pulse and coupled complex short pulse equations

PHYSICA D-NONLINEAR PHENOMENA

卷:297

Article

Feng, Bao-Feng

关键词: Complex short pulse equation;    Coupled complex short pulse equation;    Hirota bilinear method;    Pfaffian;    Envelope soliton;    Soliton interaction;   

DOI  :  10.1016/j.physd.2014.12.002

来源: Elsevier

【 摘 要 】

In the present paper, we propose a complex short pulse equation and a coupled complex short equation to describe ultra-short pulse propagation in optical fibers. They are integrable due to the existence of Lax pairs and infinite number of conservation laws. Furthermore, we find their multi-soliton solutions in terms of pfaffians by virtue of Hirota's bilinear method. One- and two-soliton solutions are investigated in details, showing favorable properties in modeling ultra-short pulses with a few optical cycles. Especially, same as the coupled nonlinear Schrodinger equation, there is an interesting phenomenon of energy redistribution in soliton interactions. It is expected that, for the ultra-short pulses, the complex and coupled complex short pulses equation will play the same roles as the nonlinear Schrodinger equation and coupled nonlinear Schrodinger equation. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free