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Zhang, Yi; Xu, Yue; Ma, Kun

New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions. (English) Zbl 1473.35494

Commun. Nonlinear Sci. Numer. Simul. 37, 77-89 (2016).
Summary: In this paper, the variable-coefficient Kadomtsev-Petviashvili (vcKP) equation with self-consistent sources is presented by two different methods, one is the source generation procedure, the other is the Pfaffianization procedure, and the solutions for the two new coupled systems are given through Grammian-type Pfaffian determinants.

Cited in 6 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)

Keywords:

variable-coefficient KP equation; self-consistent sources; Grammian solution; pfaffianization procedure; source generation procedure
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Full Text: DOI

References:

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