Wronskian and Grammian Determinant Solutions for a Variable-Coefficient Kadomtsev-Petviashvili Equation  

作　　者：YAO Zhen-Zhi ZHANG Chun-Yi ZHU Hong-Wu MENG Xiang-Hua LU Xing SHAN Wen-Rui TIAN Bo 

机构地区：[1]School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China [3]Meteorology Center of Air Force Command Post, Changchun 130051, China [4]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China [5]Key Laboratory of Optical Communication and Lightwave Technologies, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

出　　处：《Communications in Theoretical Physics》2008年第5期1125-1128,共4页理论物理通讯（英文版）

基　　金：The project supported by the Key Project of the Ministry of Education under Grant No.106033;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024;National Natural Science Foundation of China under Grant Nos.60372095 and 60772023;the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE07-001;Beijing University of Aeronautics and Astronautics,and the National Basic Research Program of China(973 Program)under Grant No.2005CB321901

摘　　要：In this paper, we derive the bilinear form for a variable-coefficient Kadomtsev Petviashvili-typed equation. Based on the bilinear form, we obtain the Wronskian determinant solution, which is proved to be indeed an exact solution of this equation through the Wronskian technique. In addition, we testify that this equation can be reduced to a Jacobi identity by considering its solution as a Grammian determinant by means of Pfaffian derivative formulae.

关 键 词：variable-coefficient Kadomtsev-Petviashvili equation Wronskian determinant Grammian deter-minant PFAFFIAN Jacobi identity 

分 类 号：O411.1[理学—理论物理]