Matrix Boussinesq solitons and their tropical limit
arXiv:1805.09711 · doi:10.1088/1402-4896/aaf6da
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.
24 pages, 11 figures, second version: some minor amendments