Wronskian and Grammian Solutions to the (3+1)-Dimensional BKP Equation
نویسندگان
چکیده
In this paper, the (3+1)-dimensional BKP equation is mainly being discussed. Based on the the Wronskian technique and the Pfaffian properties, Wronskian and Grammian solutions have been established. Generating functions for matrix entries satisfy linear system of partial differential equations involving a free parameter.
منابع مشابه
Wronskian and Grammian solutions to a (3 + 1)-dimensional generalized KP equation
Wronskian and Grammian formulations are established for a (3 + 1)-dimensional generalized KP equation, based on the Plücker relation and the Jacobi identity for determinants. Generating functions for matrix entries satisfy a linear system of partial differential equations involving a free parameter. Examples of Wronskian and Grammian solutions are computed and a few particular solutions are plo...
متن کاملWronskian and Grammian Solutions for Generalized (n + 1)-Dimensional KP Equation with Variable Coefficients
The generalized (n + 1)-dimensional KP equation with variable coefficients is investigated in this paper. The bilinear form of the equation has been obtained by the Hirota direct method. In addition, with the help of Wronskian technique and the Pfaffian properties, Wronskian and Grammian solutions have been generated.
متن کاملDeterminant Solutions to a (3+1)-Dimensional Generalized KP Equation with Variable Coefficients∗
A system of linear conditions is presented for Wronskian and Grammian solutions to a (3+1)-dimensional generalized vcKP equation. The formulations of these solutions require a constraint on variable coefficients.
متن کاملPfaffian form of the Grammian determinant solutions of the BKP hierarchy
The Grammian determinant type solutions of the KP hierarchy, obtained through the vectorial binary Darboux transformation, are reduced, imposing suitable differential constraint on the transformation data, to Pfaffian solutions of the BKP hierarchy. On leave of absence from Beijing Graduate School, CUMT, Beijing 100083, China Supported by Beca para estancias temporales de doctores y tecnólogos ...
متن کاملExtended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations
New exact Grammian determinant solutions to two (3+1)-dimensional nonlinear evolution equations are derived. Extended set of sufficient conditions consisting of linear partial differential equations with variable-coefficients is presented. Moreover, a systematic analysis of linear partial differential equations is used for solving the representative linear systems. The bilinear Bäcklund transfo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015