A Study of the Behavioral Controllability for Superposed Kuznetsov–Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schrödinger Equation

The (3+1)-dimensional variable-coefficient nonlinear Schrodinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time T sub(m)and the accumulated time Td0ibased on maximum amplitude of Kuznetsov-Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated