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
相关论文
共 50 条
  • [11] Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart
    Asaad, Magdy G.
    Ma, Wen-Xiu
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5524 - 5542
  • [12] Integrability aspects, rational type solutions and invariant solutions of an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Mandal, Uttam Kumar
    Malik, Sandeep
    Kumar, Sachin
    Zhang, Yi
    Das, Amiya
    CHAOS SOLITONS & FRACTALS, 2024, 181
  • [13] Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation
    Tao Xu
    Fu-Wei Sun
    Yi Zhang
    Juan Li
    Computational Mathematics and Mathematical Physics, 2014, 54 : 97 - 113
  • [14] Pfaffianization of the generalized variable-coefficient Kadomtsev-Petviashvili equation
    Meng, Xiang-Hua
    Tian, Bo
    Zhang, Hai-Qiang
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1300 - 1305
  • [15] Backlund transformations and soliton solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
    Huang, Zhi-Ruo
    Tian, Bo
    Zhen, Hui-Ling
    Jiang, Yan
    Wang, Yun-po
    Sun, Ya
    NONLINEAR DYNAMICS, 2015, 80 (1-2) : 1 - 7
  • [16] Lump-type solutions of a generalized Kadomtsev-Petviashvili equation in (3+1)-dimensions
    Cheng, Xue-Ping
    Ma, Wen-Xiu
    Yang, Yun-Qing
    CHINESE PHYSICS B, 2019, 28 (10)
  • [17] Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation
    Yu, Guo-Fu
    Hu, Xing-Biao
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (01) : 184 - 191
  • [18] New analytical wave structures for generalized B-type Kadomtsev-Petviashvili equation by improved modified extended tanh function method
    Ghayad, Mohammed S.
    Ahmed, Hamdy M.
    Badra, Niveen M.
    Rezazadeh, Hadi
    Hosseinzadeh, Mohammad Ali
    Rabie, Wafaa B.
    PHYSICA SCRIPTA, 2024, 99 (12)
  • [19] On the generalized Kadomtsev-Petviashvili equation with generalized evolution and variable coefficients
    Esfahani, Amin
    PHYSICS LETTERS A, 2010, 374 (35) : 3635 - 3645
  • [20] Soliton and quasi-periodic wave solutions for b-type Kadomtsev–Petviashvili equation
    Manjit Singh
    R. K. Gupta
    Indian Journal of Physics, 2017, 91 : 1345 - 1354
12345