SOLITON RESONANCES FOR THE MODIFIED KADOMTSEV-PETVIASHVILI EQUATIONS IN UNIFORM AND NON-UNIFORM MEDIA

摘要

The phenomena of soliton resonance can occur in (2+1)-dimensional modified Kadomtsev-Petviashvili equation (mKP). In this paper, we study the multisoliton solutions in Hirota's forms for isospectral and non-isospectral mKP. We take two-soliton solutions as examples to investigate soliton resonances occurring in uniform and non-uniform media according to different values of the phase shift parameter.