Investigated the nonlinear equation in partial derivatives on a complex function that has a couple Lax. Found a self-similar solution, built 1 - and 2-soliton solution method of Hirota.
nonlinear equation in partial derivatives, a pair of Lacquer-sa, the method Hirota, soliton solution
1. Red´kina T.V. Nekotorye svoystva kompleksifikatsii uravneniya Kortevega - de Vriza. //Izvestiya AN SSSR. Ser. matem. T.55, № 6, 1991, s.1300-1311.
2. Hirota R. Direct methods of finding exact solutions of nonlinear evolution equations, in Bäcklund transformations, R. M. Miura, ed., Lecture Notes in Mathematics 515, Springer-Verlag, New York, 1976