M-lump and interactive solutions to a (31)-dimensional nonlinear system

This paper aims at computing M-lump solutions for the -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state obtained by employing the long wave limit with respect to the N-soliton solutions which are got by using the direct methods. Subsequently, we discuss the dynamic properties of the M-lump solutions which describe the multiple collisions of lumps. Based on the obtained lump solutions, the lump-kink solutions are also obtained. In addition, the periodic interactive solutions are given.