In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of suftlcient conditions of systems of linear partia...In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of suftlcient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.展开更多
基金Supported by the National Science Foundation of China under Grant Nos.11101426 and 11201027the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20121101120043
文摘In this paper, new extended Grammian determinant solutions to a (3 + 1)-dimensional KP equation are presented by using Hirora's bilinear method, and a broad set of suftlcient conditions of systems of linear partial differential equations is given. Moreover, some special solutions of the representative systems are obtained through a systematic analysis.