Exactly integrable nonisospectral models for femtosecond colored solitons and their reversible transformations

被引：36

作者：

Serkin, V. N. ^{[1
]}

Belyaeva, T. L. ^{[2
]}

机构：

[1] Benemerita Univ Autonoma Puebla, Ave 4 Sur 104, Puebla 72001, Mexico

[2] Univ Autonoma Estado Mexico, Ave Inst Literar 100, Toluca TOLUCA, Mexico

来源：

OPTIK | 2018年 / 158卷

关键词：

Nonautonomous colored solitons; Noise separation from a soliton; The Raman soliton self-scattering effect; Linear external potential; NONLINEAR SCHRODINGER-EQUATION; OPTICAL SOLITONS; HIROTA EQUATION; NONAUTONOMOUS SOLITONS; DISPERSION; BRIGHT; PHYSICS; FIBERS; MEDIA; DARK;

D O I：

10.1016/j.ijleo.2018.01.020

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present three exactly integrable nonisospectral nonlinear evolution models with varying in time linear potentials: the forced complex modified Korteweg-de Vries (cmKdV), the forced Hirota, and the forced Sasa-Satsuma equations. In all three models we have added the time-varying linear potential to effectively simulate two effects of tremendous significance for soliton management and fiber optics communications: the sliding filter method of the noise separation from a soliton and the Raman soliton self-scattering effect. We find nonlinear gauge transformations between introduced nonisospectral models arranged in such a way that their soliton solutions, accelerating in the linear potential nonautonomous solitons, can be directly obtained without resolving the nonisospectral inverse scattering transform problem. (C) 2018 Elsevier GmbH: All rights reserved.

引用

页码：1289 / 1294

页数：6

共 36 条

[31] Nonlinear equations linearized using the generalized Cole-Hopf substitutions and the exactly integrable models of the one-dimensional compressible fluid flows
Zhuravlev, V. M.
Zinov'ev, D. A.
JETP LETTERS, 2008, 87 (05) : 266 - 270
[32] Nonlinear equations linearized using the generalized Cole-Hopf substitutions and the exactly integrable models of the one-dimensional compressible fluid flows
V. M. Zhuravlev
D. A. Zinov’ev
JETP Letters, 2008, 87 : 266 - 270
[33] Integrable models for Bose-Einstein condensates in a double-well potential formulated from Holstein-Primakoff transformations
Tonel, A. P.
Ymai, L. H.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (12)
[34] Nonlinear dynamics of nonautonomous solitons in external potentials expressed by time-varying power series: exactly solvable higher-order nonlinear and dispersive models
T. L. Belyaeva
V. N. Serkin
Nonlinear Dynamics, 2022, 107 : 1153 - 1162
[35] Nonlinear dynamics of nonautonomous solitons in external potentials expressed by time-varying power series: exactly solvable higher-order nonlinear and dispersive models
Belyaeva, T. L.
Serkin, V. N.
NONLINEAR DYNAMICS, 2022, 107 (01) : 1153 - 1162
[36] TWO-DIMENSIONAL EXACTLY AND COMPLETELY INTEGRABLE DYNAMICAL-SYSTEMS - MONOPOLES, INSTANTONS, DUAL MODELS, RELATIVISTIC STRINGS, LUND-REGGE MODEL, GENERALIZED TODA LATTICE, ETC
LEZNOV, AN
SAVELIEV, MV
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 89 (01) : 59 - 75

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