Darboux Transformation and Grammian Solutions for Nonisospectral Modified Kadomtsev-Petviashvili Equation with Symbolic Computation

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...

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Bibliographic Details
Published in:Communications in theoretical physics 2008-08, Vol.50 (8), p.411-416
Main Author: LI Juan FIAN Bo ZHANG Hai-Qiang XU Tao ZHANG Ya-Xing
Format: Article
Language:English
Subjects:
变换形式
求解方法
符号计算
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Summary: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/50/2/26