On Decompositions of the KdV 2-Soliton
Pattern Formation and Solitons
2009-11-11 v1 Exactly Solvable and Integrable Systems
Abstract
The KdV equation is the canonical example of an integrable non-linear partial differential equation supporting multi-soliton solutions. Seeking to understand the nature of this interaction, we investigate different ways to write the KdV 2-soliton solution as a sum of two or more functions. The paper reviews previous work of this nature and introduces new decompositions with unique features, putting it all in context and in a common notation for ease of comparison.
Keywords
Cite
@article{arxiv.nlin/0602036,
title = {On Decompositions of the KdV 2-Soliton},
author = {Nicholas Benes and Alex Kasman and Kevin Young},
journal= {arXiv preprint arXiv:nlin/0602036},
year = {2009}
}