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

Abstract

Using the Wronskian representation of $\tau$-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 $Gr(N,M{)}_{\ge 0}$. Several examples are given.

19 pages, 4 figures

References in corpus (5)

• Total positivity, Grassmannians, and networks
• A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation
• Mach-Type Soliton in the Novikov-Veselov Equation
• The Interactions of Solitons in the Novikov-Veselov Equation
• Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation