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

作     者：LI Juan FIAN Bo ZHANG Hai-Qiang XU Tao ZHANG Ya-Xing 

作者机构：School of Science P.O. Box 122 Beijing University of Posts and Telecommunications Beijing 100876 China State Key Laboratory of Software Development Environment Beijing University of Aeronautics and Astronautics Beijing 100083 China Key Laboratory of Optical Communication and Lightwave Technologies Ministry of Education Beijing University of Posts and Telecommunications Beijing 100876 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第50卷第8期

页      面：411-416页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by National Natural Science Foundation of China under Grant Nos.60772023 and 60372095 the Key Project of the Ministry of Education under Grant No.106033 the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE-07-001 Beijing University of Aeronautics and Astronautics,the National Basic Research Program of China (973 Program) under Grant No.2005CB321901 by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024 the Ministry of Education 

主　　题：nonisospectral modified Kadomtsev-Petviashvili equation Darboux transformation Grammiansolution symbolic computation 

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.