Multiple wave solutions and auto-Backlund transformation for the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation

The multiple Exp-function method is used to construct multiple wave solutions to the (3 + 1)-dimensional generalized BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the standard truncated Painleve analysis, we obtained an auto-Backlund transformation and some types of exact solutions of the (3 + 1)-dimensional generalized BKP equation. Moreover, the linear superposition principles of hyperbolic and trigonometric function solutions are also presented. (C) 2015 Elsevier Ltd. All rights reserved.