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Matrix Boussinesq solitons and their tropical limit

Published 24 May 2018 in nlin.SI, math-ph, math.MP, and nlin.PS | (1805.09711v2)

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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