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Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1433.35338

Summary: In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation, which can be reduced to the classical equation, is investigated based on the Hirota bilinear method. The lump and lump strip solutions for this equation are obtained with the help of symbolic computation. Those solutions are derived from polynomial solutions, and can be simply classified into some classes. Analysis for the obtained solutions are presented, and their dynamic properties are discussed. Results are helpful for the study of soliton interactions in nonlinear mathematical physics.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C08 Soliton solutions
35C05 Solutions to PDEs in closed form
35Q51 Soliton equations
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References:

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