Bright spatial solitons in quintic-septimal nonlinear media with two families of PT-symmetric potentials
School of Electronics Information, Zhejiang University of Media and Communications, 310018, Hangzhou, China
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Accepted: 29 November 2017
Published online: 21 December 2017
We discuss a (2 + 1)-dimensional nonlinear Schrödinger equation in quintic-septimal nonlinear media with different diffractions and two kinds of PT-symmetric potentials, and derive two families of bright spatial soliton solutions. Moreover, we study the stability of analytical bright spatial soliton solutions by means of the eigenvalue method to carry out linear stability analysis and numerical rerun to further determine the stable cases of solutions. Results from the eigenvalue method well agree with results from the direct numerical simulation. Under the 2D extended Scarf II potentials, the bright spatial soliton stably evolves in a defocusing quintic and focusing septimal nonlinear medium. However, in other nonlinear media, the original shapes of bright spatial solitons are distorted and cannot been maintained, and finally bright spatial solitons collapse into noise.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017