Asymptotics of coupled solutions of the Kadomtsev-Petviashvili equation

We determine a subset in R-2 and a measure on this set which allow to construct coupled non-localized solutions of the KP-I equation, which are connected by the change of variables (x, t) bar right arrow (-x, -t), and split into asymptotic solitons as t --> infinity in the neighbourhood of the leading edge of the solutions. The solitons corresponding to each of the solutions have different amplitudes and lines of constant phase. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.