Evolution equations: Frobenius integrability, conservation laws and travelling waves
Analysis of PDEs
2016-03-01 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We give new results concerning the Frobenius integrability and solution of evolution equations admitting travelling wave solutions. In particular, we give a powerful result which explains the extraordinary integrability of some of these equations. We also discuss "local" conservations laws for evolution equations in general and demonstrate all the results for the Korteweg de Vries equation.
Keywords
Cite
@article{arxiv.1409.2690,
title = {Evolution equations: Frobenius integrability, conservation laws and travelling waves},
author = {Geoff Prince and Naghmana Tehseen},
journal= {arXiv preprint arXiv:1409.2690},
year = {2016}
}
Comments
11 pages, 2 figures