Darboux transformation and Grammian solutions for nonisospectral modified Kadomtsev-Petviashvili equation with symbolic computation

被引：0

作者：

Li Juan ^{[1
]}

Tian Bo ^{[1
,2
,3
]}

Zhang Hai-Qiang ^{[1
]}

Xu Tao ^{[1
]}

Zhang Ya-Xing ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2008年 / 50卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonisospectral modified Kadomtsev-Petviashvili equation; Darboux transformation; Grammian solution; symbolic computation;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper, under investigation is a nonisospectral modified Kadomtsev-Petviashvili equation, which is shown to have two Painleve branches through the Painleve analysis. With symbolic computation, two Lax pairs for such an equation are derived by applying the generalized singular manifold method. Furthermore, based on the two obtained Lax pairs, the binary Darboux transformation is constructed and then the N-th-iterated potential transformation formula in the form of Grammian is also presented.

引用

页码：411 / 416

页数：6

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