Invariant Transformation of the Kadomtsev-Petviashvili Equation

抄録

Similarity solutions of the Kadomtsev-Petviashvili equation are studied by means of finite transformation. It is shown that the similarity reductions to the equation of fewer independent variables are special cases of finite invariant transformation. The resonant interactions of similar-type solitons moving in non-steady and non-uniform background are studied.