The short pulse equation and associated constraints
Exactly Solvable and Integrable Systems
2009-10-12 v2 Pattern Formation and Solitons
Abstract
The short pulse equation (SPE) is considered as an initial-boundary value problem. It is found that the solutions of the SPE must satisfy an integral relation otherwise the temporal derivative exhibits discontinuities. This integral relation is not necessary for a solution to exist. An infinite number of such constraints can be dynamically generated by the evolution equation.
Keywords
Cite
@article{arxiv.0906.1536,
title = {The short pulse equation and associated constraints},
author = {Theodoros P. Horikis},
journal= {arXiv preprint arXiv:0906.1536},
year = {2009}
}