New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein–Gordon Equation

Abstract

With the help of the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to obtain the Jacobi doubly periodic wave solutions of the (2+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation and the generalized Klein–Gordon equation. The method is also valid for other (1+1)-dimensional and higher dimensional systems.