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arXiv · 1805.09711

Matrix Boussinesq solitons and their tropical limit

Aristophanes Dimakis·Folkert Müller-Hoissen·Xiao-Min Chen
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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.

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Aristophanes Dimakis, Folkert Müller-Hoissen, Xiao-Min Chen. 2018-12-07. Matrix Boussinesq solitons and their tropical limit. https://doi.org/10.1088/1402-4896%2Faaf6da

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