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A $$(3+1)$$ ( 3 + 1 ) -dimensional B-type Kadomtsev–Petviashvili equation, which can be applied to describe the propagation of non-linear waves in fluid dynamics, is under investigation in this paper. Based on the binary Bell polynomials, Hirota method, and symbolic computation, the bilinear form is obtained. Bäcklund transformations are derived in the Bell-polynomial and bilinear forms...
In this paper, a (2 + 1)-dimensional nonlinear evolution equation generated via the Jaulent–Miodek hierarchy is investigated. Based on the Bell polynomials and Hirota method, bilinear forms and Bäcklund transformations are derived. One- and two-soliton solutions are constructed via symbolic computation. Soliton solutions are obtained through the Bäcklund transformations. We can get three types by...
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