Speaker : Jen-Hsu Chang (Defense University) Interactions of Multi-Kink Solitons In the Modified Kadomtsev-Petviashvili-(II) Equation 2018-01-29 (Mon) 11:00 - 12:00 Seminar Room 617, Institute of Mathematics (NTU Campus) 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.