Generalized Wronskian and Grammian Solutions to a Isospectral B-type Kadomtsev-Petviashvili equation

被引：9
|
作者：
Cheng, Jianjun [1 ]
Wang, Zhen [1 ]
Zhang, Hongqing [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2014年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
isospectral BKP equation; Wronskian determinant; Grammian determinant; Young diagram; SOLITON-SOLUTIONS; KORTEWEG-DEVRIES;
D O I：
10.1080/14029251.2014.894718
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generally speaking, the BKP hierarchy which only has Pfaffian solutions. In this paper, based on the Grammian and Wronskian derivative formulae, generalized Wronskian and Grammian determinant solutions are obtained for the isospectral BKP equation (the second member on the BKP hierarchy) in the Hirota bilinear form. Especially, with the help of the properties of the computing of Young diagram, we have first applied Young diagram proved the proposition of this paper. Moreover, by considering the different combinations of the entries in Wronskian, we obtain various types of Wronskian solutions.
引用
收藏
页码：17 / 33
页数：17
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