Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart

作者：Asaad Magdy G^*; Ma Wen Xiu

来源：Applied Mathematics and Computation, 2012, 218(9): 5524-5542.

DOI：10.1016/j.amc.2011.11.042

• Pfaffian solutions
• BKP equation
• Modified BKP equation
• Bilinear Backlund transformation
• Soliton solutions
• Wave solutions
• Rational solutions

A class of exact Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation is obtained. A set of sufficient conditions consisting of systems of linear partial differential equations involving free parameters is generated to guarantee that the Pfaffian solves the equation. A Backlund transformation of the equation is presented. The equation is transformed into a set of bilinear equations, and a few classes of traveling wave solutions, rational solutions and Pfaffian solutions to the extended bilinear equations are furnished. Examples of the Pfaffian solutions are explicitly computed, and a few solutions are plotted.

• 出版日期2012-1