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arXiv · 1705.04827

Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation

Jen-Hsu Chang
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Abstract

We study soliton interaction in the Modified Kadomtsev-Petviashvili-(II) equation (MKP-(II)) using the totally non-negative Grassmannian. One constructs the multi-kink soliton of MKP equation using the $τ$-function and the Binet-Cauchy formula, and then investigates the interaction between kink solitons and line solitons. Especially, Y-type kink-soliton resonance, O-type kink soliton and P-type kink soliton of X-shape are investigated. Their amplitudes of interaction are computed after choosing appropriate phases.

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Jen-Hsu Chang. 2018-02-08. Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation. https://arxiv.org/abs/1705.04827

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