Dromion interactions of (2+1)-dimensional nonlinear evolution equations
Starting from two line solitons, the solution of integrable (2+1)-dimensional mKdV system and KdV system in bilinear form yields a dromion solution or a "Solitoff" solution. Such a dromion solution is localized in all directions and the Solitoff solution decays exponentially in all directions except a preferred one for the physical field or a suitable potential. The interactions between two dromions and between the dromion and Solitoff are studied by the method of figure analysis for a (2+1)-dimensional modified KdV equation and a (2+1)-dimensional KdV type equation. Our analysis shows that the interactions between two dromions may be elastic or inelastic for different forms of solutions.
Ruan
Hy
Institute of Modern Physics, Ningbo University, Ningbo 315211, China and Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China.
Chen
Yx