Matrix Boussinesq solitons and their tropical limit
Exactly Solvable and Integrable Systems
2018-12-10 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We study soliton solutions of matrix "good" Boussinesq equations, generated via a binary Darboux transformation. Essential features of these solutions are revealed via their "tropical limit", as exploited in previous work about the KP equation. This limit associates a point particle interaction picture with a soliton (wave) solution.
Keywords
Cite
@article{arxiv.1805.09711,
title = {Matrix Boussinesq solitons and their tropical limit},
author = {Aristophanes Dimakis and Folkert Müller-Hoissen and Xiao-Min Chen},
journal= {arXiv preprint arXiv:1805.09711},
year = {2018}
}
Comments
24 pages, 11 figures, second version: some minor amendments