Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation
Exactly Solvable and Integrable Systems
2018-02-09 v3
Abstract
We study soliton interaction in the Modified Kadomtsev-Petviashvili-(II) equation (MKP-(II)) using the totally non-negative Grassmannian. One constructs the multi-kink soliton of MKP equation using the -function and the Binet-Cauchy formula, and then investigates the interaction between kink solitons and line solitons. Especially, Y-type kink-soliton resonance, O-type kink soliton and P-type kink soliton of X-shape are investigated. Their amplitudes of interaction are computed after choosing appropriate phases.
Keywords
Cite
@article{arxiv.1705.04827,
title = {Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation},
author = {Jen-Hsu Chang},
journal= {arXiv preprint arXiv:1705.04827},
year = {2018}
}
Comments
19 pages, 3 figures