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.