Solitons of the generalized nonlinear Schrodinger equation

被引：9

作者：

Tsoy, Eduard N. ^{[1
]}

Suyunov, Laziz A. ^{[1
]}

机构：

[1] Uzbek Acad Sci, Phys Tech Inst, Chingiz Aytmatov Str 2-B, Tashkent 100084, Uzbekistan

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 414卷

关键词：

Soliton; The nonlinear Schrodinger equation; Quintic nonlinearity; Soliton stability;

D O I：

10.1016/j.physd.2020.132659

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact solutions in a form of bright solitons are obtained for the nonlinear Schrodinger equations with general quartic or quintic nonlinearities. The solutions, expressed in terms of the elliptic integrals, are implicit. An existence of flat-top solitons is shown, and the corresponding condition is obtained. The stability of solitons is analyzed for different system parameters. Numerical simulations show three different scenarios of the soliton instability, namely the soliton decay, oscillations and collapse. (c) 2020 Elsevier B.V. All rights reserved.

引用

页数：6

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