Lviv National University
79000, Lviv, Universytetska str.,1

E-mail:   matmod@franko.lviv.ua

Nonlinear mappings generalizing a classic Darboux transformations

Abstract:
A class of nonlinear mappings generalizing a classic Darboux transformations is constructed in exact form. The power of application of these transformations in (2+1)-dimensional theory of solitons is demonstrated on the well-known Devi-Stewardson (DS) models and matrix Kadomtsev-Petviashvili equation (MKP). The accurate solutions of nonlinear evolution equations may be obtained by composition of linear waves.