Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation
Jen-Hsu Chang
TL;DR
This paper investigates the interaction of various solitons in the Modified Kadomtsev-Petviashvili-(II) equation using Grassmannian techniques, revealing complex resonance patterns and amplitude behaviors.
Contribution
It introduces a method to construct multi-kink solitons in MKP-(II) and analyzes their interactions, including resonance and amplitude calculations, using the totally non-negative Grassmannian.
Findings
Identified Y-type kink-soliton resonance patterns
Computed interaction amplitudes for different kink configurations
Analyzed X-shaped line soliton interactions
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 -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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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies