Matrix Boussinesq solitons and their tropical limit

Dimakis, A.; Müller-Hoissen, Folkert; Chen, X. M.

doi:10.1088/1402-4896/aaf6da

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Matrix Boussinesq solitons and their tropical limit

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Müller-Hoissen, Folkert
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Dimakis, A., Müller-Hoissen, F., & Chen, X. M. (2019). Matrix Boussinesq solitons and their tropical limit. Physica Scipta, 94(3): 035206. doi:10.1088/1402-4896/aaf6da.

Cite as: https://hdl.handle.net/21.11116/0000-0002-AF3D-6

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.