Abstract
In this paper, a (3 + 1)-dimensional generalized B-type Kadomtsev–Petviashvili (BKP) equation is mainly discussed. Based on the Wronskian technique, a Wronskian formulation is established. Generating functions for matrix entries satisfy a linear system of partial differential equations involving a free parameter. The resulting solutions formulae provide us with a comprehensive approach to constructing rational solutions, positons and complexitons for the (3 + 1)-dimensional generalized BKP equation.
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