Propagation of local spatial solitons in power-law nonlinear PT-symmetric potentials based on finite difference

被引：4

作者：

Ji, Hao ^{[1
]}

Xu, Yinghong ^{[1
]}

Dai, Chaoqing ^{[2
]}

Zhang, Lipu ^{[3
]}

机构：

[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China

[2] Zhejiang A&F Univ, Dept Phys, Hangzhou 311300, Peoples R China

[3] Commun Univ Zhejiang, Coll Media Engn, Hangzhou 310018, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2021年 / 73卷 / 12期

关键词：

nonlinear Schrodinger equation; localized spatial solitons; PT-symmetric potential; ADI difference scheme; stability; SCHRODINGER-EQUATION; OPTICAL SOLITONS; STABILITY; MEDIA;

D O I：

10.1088/1572-9494/ac29b6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the (2+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity under the parity-time-symmetry potential by using the Crank-Nicolson alternating direction implicit difference scheme, which can also be used to solve general boundary problems under the premise of ensuring accuracy. We use linear Fourier analysis to verify the unconditional stability of the scheme. To demonstrate the effectiveness of the scheme, we compare the numerical results with the exact soliton solutions. Moreover, by using the scheme, we test the stability of the solitons under the small environmental disturbances.

引用

页数：11

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