[1]徐 鹃.变系数(n+1)-维KP方程的Wronskian和Grammian解[J].温州大学学报(自然科学版),2013,(01):013-17.
 XU Juan.Wronskian and Grammian Solutions to the (n + 1)-dimensional KP Equation with Variable Coefficients[J].Journal of Wenzhou University,2013,(01):013-17.
点击复制

变系数(n+1)-维KP方程的Wronskian和Grammian解
分享到:

《温州大学学报》(自然科学版)[ISSN:1674-3563/CN:33-1344/N]

卷:
期数:
2013年01期
页码:
013-17
栏目:
数学研究
出版日期:
2013-02-25

文章信息/Info

Title:
Wronskian and Grammian Solutions to the (n + 1)-dimensional KP Equation with Variable Coefficients
作者:
徐 鹃
浙江师范大学数理与信息工程学院,浙江金华 321004
Author(s):
XU Juan
College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China 321004
关键词:
变系数(n+1)-维KP方程Wronskian解Grammian解
Keywords:
Variable-coefficient (n + 1)-dimensional KP Equation Wronskian Solution Grammian Solution
分类号:
O175.12
文献标志码:
A
摘要:
基于Hirota直接方法,将变系数(n+1)-维KP方程化成Hirota双线性形式,再借助Wronskian技巧和Pfaffian性质,对该方程进行求解,得到了其广义的Wronskian解和Grammian解.
Abstract:
The paper explored the process of the generalized Wronskian and Grammian solutions. The steps mainly include: to change the variable-coefficient (n + 1)-dimensional KP equation to bilinear form based on Hirota method, and then to solve the equation with the help of Wronskin technique and Pfaffian properties.

参考文献/References:

[1] Freeman N C, Nimmo J J C. Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The Wronskian technique [J]. Phys Lett A, 1983, (95): 1-3.
[2] Nimmo J J C, Freeman N C. The use of B?cklund transformations in obtaining N-soliton solutions in Wronskian form [J]. J Phys A: Math Gen, 1983, (17): 1415-1424.
[3] Ma W X. Wronskian and Grammian solutions to a (3+1)-dimensional generalized KP equation [J]. Appl Math Comput, 2011, (217): 10016-10023.
[4] Yu G F, Hu X B. Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation [J]. Math Comput Simul, 2009, (80): 184-191.
[5] Wu J P, Geng X G. Grammian determinant solution and Pfaffianization for a (3+1)-dimensional soliton equation [J]. Commun Theor Phys, 2009, (52): 791-794.
[6] Zhang Y, Cheng T F, Ding D J, et al. Wronskian and Grammian solutions for (2+1)-dimensional soliton equation [J]. Commun Theor Phys, 2011, (55): 20-24.
[7] Zhang Y, Lv Y N. On the nonisospectral modified Kadomtsev-Peviashvili equation [J]. J Math Anal Appl, 2008, (342): 534-541.
[8] Ye L Y, Lv Y N, Zhang Y. Grammian solutions to a variable-coefficient KP equation [J]. Chin Phys Lett, 2008, (25): 357-358.

备注/Memo

备注/Memo:
收稿日期:2012-06-08
作者简介:徐鹃(1989- ),女,浙江衢州人,硕士研究生,研究方向:系统理论
更新日期/Last Update: 2013-02-25