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arxiv: 0912.2576 · v1 · submitted 2009-12-14 · 🌊 nlin.SI

Soliton and Periodic solutions of the Short Pulse Model Equation

classification 🌊 nlin.SI
keywords equationsolutionsmodelperiodicpulseshortarticleattention
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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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