In the present paper,under investigation is a nonisospectral modified Kadomtsev-Petviashvili equation, which is shown to have two Painlevé branches through the Painlevé analysis.With symbolic computation,two...In the present paper,under investigation is a nonisospectral modified Kadomtsev-Petviashvili equation, which is shown to have two Painlevé branches through the Painlevé 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.展开更多
基金The project supported by the Key Project of the Chinese Ministry of Education under Grant No.106033the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024+2 种基金Chinese Ministry of Education,the National Natural Science Foundation of China under Grant Nos.60772023 and 60372095the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE-07-001Beijing University of Aeronautics and Astronautics,and by the National Basic Research Program of China(973 Program)under Grant No.2005CB321901
基金supported by National Natural Science Foundation of China under Grant Nos.60772023 and 60372095the Key Project of the Ministry of Education under Grant No.106033+3 种基金the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE-07-001Beijing University of Aeronautics and Astronautics,the National Basic Research Program of China (973 Program) under Grant No.2005CB321901by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024the Ministry of Education
文摘In the present paper,under investigation is a nonisospectral modified Kadomtsev-Petviashvili equation, which is shown to have two Painlevé branches through the Painlevé 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.