Soliton solution to BKP equation in Wronskian form

摘要

We find out a group of identities, named Wronskian identities of bilinear KP hierarchy here, as well as two useful properties of D-operator. This makes it possible to easily search for some new Wronskian solutions for PDE which owns bilinear form, and to simplify the process of the proof. As an application of this new method, we propose the first Wronskian condition for the BKP I equation and for the BKP II equation, respectively. In addition, we also discuss several generalized BKP equations and obtain their Wronskian conditions.