|
|||||
|
|
Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation |
|
| Authors: | Guo-Fu Yu Xing-Biao Hu |
| Affiliation: | 1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. LSEC, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, PR China |
| Abstract: | In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev–Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential equations is made for solving the resultant linear systems. A special method is constructed to solve the representative systems. |
| Keywords: | Solitons Pfaffian Grammian determinant Kadomtsev&ndash Petviashvili equation |
| 本文献已被 ScienceDirect 等数据库收录！ | |