On the construction of the KP line-solitons and their interactions
Exactly Solvable and Integrable Systems
2011-05-10 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
The line-soliton solutions of the Kadomtsev--Petviashvili (KP) equation are investigated in this article using the tau-function formalism. In particular, the Wronskian and the Grammian forms of the tau-function are discussed, and the equivalence of these two forms are established. Furthermore, the interaction properties of two special types of 2-soliton solutions of the KP equation are studied in details.
Keywords
Cite
@article{arxiv.0911.2290,
title = {On the construction of the KP line-solitons and their interactions},
author = {Sarbarish Chakravarty and Tim Lewkow and Ken-ichi Maruno},
journal= {arXiv preprint arXiv:0911.2290},
year = {2011}
}
Comments
16 pages, 6 figures, To appear in Applicable Analysis, Special Issue "Solitons and Integrable Systems"