spatial solitons in schrodinger equation with a spatially modulated nonlinearity: variational approach

In is paper, we have studied the propagation of spatial solitons in the medium with a spatially modulated nonlinearity. wave equation includes the terms of diffraction and periodic self- focusing. to solve the wave equation, we have employed numerical method including monte carlo based euler-lagrange variational schema. the effect of the nonlinearity strength related to periodic kerr self-focusing, on the physical properties of the systems such as maximum intensity and soliton width oscillations are considered.