Abstract
Some new solitary solutions of (3+1)-dimensional Jimbo-Miwa equation such as breather solutions, double breather solutions and mixed solutions of different forms are studied via applying Hirota's bilinear form and constructing various trial functions. Besides, the degradation phenomenon of breather solution to lump-type solution is investigated, and dynamical behaviors of the interaction between solitary solutions and lump-type solutions varying with time t is discussed. Finally, the interactive result between N-soliton solution (N takes any positive integer) and lump-type solution is studied by reducing dimension, and the detailed proof process is presented.
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