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arXiv · 1312.6431

Complex short pulse and coupled complex short pulse equations

Bao-Feng Feng
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Abstract

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 shown to be integrable due to the existence of Lax pairs and infinite number of conservation laws. Furthermore, we construct their multi-soliton solutions in terms of pfaffians by virtue of Hirota 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, interactions between two solitons are basically inelastic, which deserve further study and has potential applications.

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Bao-Feng Feng. 2013-12-22. Complex short pulse and coupled complex short pulse equations. https://doi.org/10.1016/j.physd.2014.12.002

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