Soliton and Periodic solutions of the Short Pulse Model Equation
Exactly Solvable and Integrable Systems
2009-12-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0912.2576,
title = {Soliton and Periodic solutions of the Short Pulse Model Equation},
author = {Yoshimasa Matsuno},
journal= {arXiv preprint arXiv:0912.2576},
year = {2009}
}
Comments
Handbook of Solitons: Research, Technology and Applications edted by S.P. Lang and S.H. Bedore, Nova Publishers, New York, 2009, to appear