The short pulse equation is integrable
可精确求解与可积系统
2007-05-23 v1 数学物理
偏微分方程分析
math.MP
光学
摘要
We prove that the Schafer-Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses in nonlinear media is integrable. First, we discover a Lax pair of the SPE which turns out to be of the Wadati-Konno-Ichikawa type. Second, we construct a chain of transformations which relates the SPE with the sine-Gordon equation.
引用
@article{arxiv.nlin/0409034,
title = {The short pulse equation is integrable},
author = {Anton Sakovich and Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0409034},
year = {2007}
}
备注
7 pages