Pfaffian and rational solutions for a new form of the (3+1) -dimensional BKP equation in fluid dynamics

被引：9

作者：

Cheng, Li ^{[1
]}

Zhang, Yi ^{[2
]}

机构：

[1] Jinhua Polytech, Normal Sch, Jinhua 321007, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 10期

关键词：

KADOMTSEV-PETVIASHVILI EQUATION; HIROTA BILINEAR EQUATIONS; SOLITON-SOLUTIONS; LINEAR-SUBSPACES; GENERALIZED KP; LUMP SOLUTIONS; SCHRODINGER;

D O I：

10.1140/epjp/i2018-12313-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the fundamental Pfaffian identity, a Pfaffian formulation is established for a new form of the (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. Generating functions for Pfaffian entries need to satisfy a linear system of partial differential equations involving the combined equations. The resulting solutions formulas provide us with a comprehensive approach to construct rational solutions, particularly lump-type solutions. Furthermore, a large class of lump-type solutions is also constructed by straightforward symbolic computations.

引用

页数：10

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