Further improved extended Fan sub-equation method and new exact solutions of the (2+1)-dimensional Broer-Kaup-Kupershmidt equations

Abstract In this paper, a further improved extended Fan sub-equation method is proposed by taking a more general transformation to seek more types of exact solutions of non-linear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations to illustrate the validity and advantages of this method. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions, Weierstrass elliptic doubly-like periodic solutions.

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