Soliton interaction in the modified Kadomtsev–Petviashvili-(II) equation

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 $\tau$-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.

KEYWORDS:

• $\tau$-function
• Grassmannian
• resonance
• kink soliton

AMS SUBJECT CLASSIFICATIONS:

• 37 K40
• 14 H70

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This work is supported by the Ministry of Science and Technology of Taiwan [grant number MOST 105-2115-M-606-001].