The results of simulation of evolution and interaction of the multidimensional soliton structures being described by the equations of nonlinear BK system, namely: generalized KP equation and 3-GNLS equation are presented. ...

This edition of the Lecture Notes of TICMI is devoted to the problems of study of nonlinear wave structures of the soliton and vortex types in complex continuous media including theory and simulation of these processes and ...

In this paper we study the dynamical systems associated with the generalized Kadomtsev-Petviashvili (GKP) equation with variable dispersion and consider the structure of possible multidimensional solutions and their ...