| In this paper, the Hirota bilinear method is researched deeply. First, the definition and properties of bilinear differential operator is introduced. Then the steps of solving soliton e-quations are showed by solving the KDV equation. After that, the writer explains that how a soliton equation turns into a bilinear equation in detail. The next, many soliton equations with this method can be constructed. Superposition principle of bilinear equations are introduced and many examples are given. The (3+1) dimensional KP equation and (2+1) dimensional Boussinesq equation are solved with the Wronskian skills. The6th BKP equation is solved with the Pfaffian skills. |
