Igor Anders

Institute for Low Temperature Physics
47, Lenin Ave., Kharkov, 61103, Ukraine
E-mail: anders@ilt.kharkov.ua

Asymptotics of the coupled solutions of the Kadomtsev-Petviashvili equation

Abstract:
We determine the set in R2 and the measure on this set which allow to construct the coupled non-localized solutions of the KP-I equation, which are connected by the change of variables x-->-x, t--> -t, and split into the asymptotic solitons as t--> \infty in the neighbourhood of the leading edge and back front of the solution respectively. The solitons corresponding to each of the solutions have the different amplitudes and lines of constant phase.