Collision-induced amplitude dynamics of fast 2D solitons in saturable nonlinear media with weak nonlinear loss

We study the amplitude dynamics of two-dimensional (2D) solitons in a fast collision described by coupled nonlinear Schrödinger equations with saturable nonlinearity and weak loss. extend perturbative technique for calculating collision-induced two one-dimensional (1D) to derive theoretical expression 2D solitons. Our approach is based on major steps. The first step standard adiabatic perturbation calculations energy balance perturbed solitons, second step, which crucial one, analysis change envelope soliton. Furthermore, we also present dependence shift angle colliding In addition, show that current can be simply applied 1D analytic are confirmed numerical simulations corresponding presence cubic loss quintic