Localized modes of the (n+1)-dimensional Schrödinger equation with power-law nonlinearities in PT-symmetric potentials
作者： Chao-Qing Dai , Xiao-Fei Zhang , Yan Fan , Liang Chen
DOI: 10.1016/J.CNSNS.2016.07.002
关键词:
摘要: We investigate the generalized (n+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity in PT-symmetric potentials, and derive two families of analytical sech-type Gaussian-type localized modes (soliton solutions). Based on these solutions, powers, power-flow densities phase jumps are analyzed. The linear stability analysis direct numerical simulation for exact solutions indicate that both stable below some thresholds imaginary part potentials (except extended Rosen-Morse potential) focusing medium, while they always unstable defocusing medium. gain (loss) related to values potential (Wn) should be enough small compared fixed value real (V0) order ensure solutions.
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