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Browsing College of Science by Subject "(3 + 1)-dimensional generalized b-type kadomtsev-petviashvili equation"
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Item Exact solutions and conservation laws of a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation(Springer, 2013-07-23) Abudiab, Mufid; Khalique, Chaudry MasoodIn this paper we study a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili (BKP) equation. This equation is an extension of the well-known Kadomtsev-Petviashvili equation, which describes weakly dispersive and small amplitude waves propagating in quasi-two-dimensional media. We first obtain exact solutions of the BKP equation using the multiple-exp function and simplest equation methods. Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.