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

作者：Dai, C. Q.^*; Yang, Q.; He, J. D.; Wang, Y. Y.

来源：European Physical Journal D, 2011, 63(1): 141-148.

DOI：10.1140/epjd/e2011-20031-6

• EXACT SPATIAL SIMILARITONS
• SOLITARY WAVE SOLUTIONS
• OPTICAL SIMILARITONS
• VARYING DISPERSION
• SOLITONS
• MANAGEMENT
• FIBERS
• BRIGHT

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

• 出版日期2011-6
• 单位浙江师范大学; 宿州学院; 嘉兴学院; 苏州大学; 浙江农林大学