Speaker : Jen-Hsu Chang (Defense University)
Title : Interactions of Multi-Kink Solitons In the Modified Kadomtsev-Petviashvili-(II) Equation
Time : 2018-01-29 (Mon) 11:00 - 12:00
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: We study resonant theory in the Modified KP equation (MKP) using the totally nonnegative Grassmannian based on Kodama’s group investigations. One constructs the multi-kinks solitons solutions of MKP equation using the $\tau$ function and the Binet-Cauchy formula, and then can study the interactions between kink solitons and line solitons. Thus, we can get terraces shape solutions. Especially, the diffraction of kink fronts, Y-type kink soliton resonance, O-type and the P-type interactions of X-shape with kink solitons are investigated. Also, the amplitudes of the intersection of the line solitons and kink fronts are computed. In addition, one makes a comparison with the KP-(II) equation.