Binary Darboux transformation for a variable-coefficient nonisospectral modified Kadomtsev-Petviashvili equation with symbolic computation

作者:Li, J (Li, Juan)[ 1,2,3 ] ; Gu, XF (Gu, Xing-Fa)[ 1,2,3 ] ; Yu, T (Yu, Tao)[ 1,2,3 ] ; Zhan, YL (Zhan, Yu-Lin)[ 1,2 ] ; Liu, Z (Liu, Zhi)[ 4 ] ; Lv, X (Lv, Xing)[ 5 ] ; Li, LL (Li, Ling-Ling)[ 1,2 ] ; Wang, CM (Wang, Chun-Mei)[ 1,2 ]

NONLINEAR DYNAMICS

卷: 83  期: 3  页: 1463-1468

DOI: 10.1007/s11071-015-2419-0

出版年: FEB 2016

摘要

A variable-coefficient nonisospectral modified Kadomtsev-Petviashvili equation with two Painlev, branches is investigated in this paper. Through the generalized singular manifold method, a couple of Lax pairs for such an equation are constructed on account of the relationship between manifolds and eigenfunctions. Meanwhile, utilizing the aforementioned Lax pairs, a binary Darboux transformation of this equation has been presented.

通讯作者地址: Li, J (通讯作者)

Chinese Acad Sci, Inst Remote Sensing & Digital Earth, State Key Lab Remote Sensing Sci, Box 9718, Beijing 100101, Peoples R China.

通讯作者地址: Li, J (通讯作者)

Beijing Normal Univ, Box 9718, Beijing 100101, Peoples R China.

地址:

[ 1 ] Chinese Acad Sci, Inst Remote Sensing & Digital Earth, State Key Lab Remote Sensing Sci, Box 9718, Beijing 100101, Peoples R China

[ 2 ] Beijing Normal Univ, Box 9718, Beijing 100101, Peoples R China

[ 3 ] Natl Space Adm, Demonstrat Ctr Spaceborne Remote Sensing, Beijing 100101, Peoples R China

[ 4 ] Shandong Management Univ, Dept Informat Engn, Jinan 250100, Peoples R China

[ 5 ] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China