The resonant structure of Kink-Solitons in the Modified KP Equation

2018/10/16 by Jen-Hsu Chang, Chang, Jen-Hsu
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1810.06962

openalex publication_date 2018/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Wronskian representation of τ-function, one can investigate the resonant structure of kink-soliton and line-soliton of the modified KP equation. It is found that the resonant structure of the the soliton graph is obtained by superimposition of the two corresponding soliton graphs of the two Le-Diagrams given an irreducible Schubert cell in a totally non-negative Grassmannian Gr(N,M) _{≥ 0}. Several examples are given.

Citations

• Total positivity, Grassmannians, and networks
• The Interactions of Solitons in the Novikov-Veselov Equation

Related

• KP solitons and total positivity for the Grassmannian
• Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation
• Triangulations and soliton graphs for totally positive Grassmannian
• KP theory, plabic networks in the disk and rational degenerations of M--curves
• Real Line Solitons of the BKP Equation