Soliton and Periodic solutions of the Short Pulse Model Equation

Details Soliton and Periodic solutions of the Short Pulse Model Equation Soliton and Periodic solutions of the Short Pulse Model Equation

2009-12-14

arxiv.org/abs/0912.2576v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Handbook of Solitons: Research, Technology and Applications edted by S.P. Lang and S.H. Bedore, Nova Publishers, New York, 200

Scientific paper

The short pulse (SP) equation is a novel model equation describing the propagation of ultra-short optical pulses in nonlinear media. This article reviews some recent results about the SP equation. In particular, we focus our attention on its exact solutions. By using a newly developed method of solution, we derive multisoliton solutions as well as 1-and 2-phase periodic solutions and investigate their properties.

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