caa a22 4500 44586558X CHVBK 20180317145456.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1140/epjd/e2011-20031-6 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-20031-6 Nonlinear tunneling effect in the (2+1)-dimensional cubic-quintic nonlinear Schrödinger equation with variable coefficients [Elektronische Daten] [C. Dai, Q. Yang, J. He, Y. Wang] By means of the similarity transformation, we obtain exact solutions of the (2+1)-dimensional generalized nonlinear Schrödinger 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 Schrödinger 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. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Dai C. School of Sciences, Zhejiang A&F University, Lin'an, 311300, Zhejiang, P.R. China aut Yang Q. College of Mathematics and Information Engineering, Jiaxing University, 314001, Jiaxing, P.R. China aut He J. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, P.R. China aut Wang Y. School of Sciences, Zhejiang A&F University, Lin'an, 311300, Zhejiang, P.R. China aut The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 141-148 1434-6060 63:1<141 2011 63 10053 https://doi.org/10.1140/epjd/e2011-20031-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-20031-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dai C. School of Sciences, Zhejiang A&F University, Lin'an, 311300, Zhejiang, P.R. China aut NATIONALLICENCE 700 1- Yang Q. College of Mathematics and Information Engineering, Jiaxing University, 314001, Jiaxing, P.R. China aut NATIONALLICENCE 700 1- He J. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, P.R. China aut NATIONALLICENCE 700 1- Wang Y. School of Sciences, Zhejiang A&F University, Lin'an, 311300, Zhejiang, P.R. China aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 141-148 1434-6060 63:1<141 2011 63 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer