M-lump solutions to a (3+1)-dimensional nonlinear evolution equation

Abstract This paper aims at computing the M-lump solutions which decay to a uniform state in all directions for a ( 3 + 1 ) -dimensional nonlinear evolution equation. These solutions are constructed by taking a “long wave” limit of the corresponding N-soliton solutions obtained by direct methods. The dynamic properties of M-lump solutions describing multiple collisions of lumps are presented. In addition, we investigate the interaction between stripe solitons and lumps which is further discussed implying that lumps will be drowned or swallowed by the stripe solitons. Finally the dynamic properties of interactive wave solutions are graphically depicted by choosing the values of parameters.

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