Nonlinear Dynamics of Solitary Wave Structures in Complex Continuous Media

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, 3-DNLS and 3-GNLS equations are presented. It is shown that the collision interaction can be elastic and non-elastic with the N-soliton structures' formation. The results are in conformity with the stability conditions obtained earlier analytically for the equations of the BK system.