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.
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
