Nonlinear tunneling effect in the (2+1)-dimensional cubic-quintic nonlinear Schrödinger equation with variable coefficients

摘要: By means of the similarity transformation, we obtain exact solutions (2+1)-dimensional generalized nonlinear Schrodinger equation, which describes propagation optical beams in a cubic-quintic medium with inhomogeneous dispersion and gain. A one-to-one correspondence between such constant-coefficient equation exists when two certain compatibility conditions are satisfied. Under these conditions, discuss tunneling effect self-similar solutions. Considering fluctuation fiber parameter real application, balance do not satisfy, then perform direct numerical analysis initial 5% white noise for bright similariton passing through diffraction barrier well. Numerical calculations indicate stable over tens lengths.