Nonlinear Lorentzian-type standing wave solutions of ac-driven sine-Gordon equation

被引：1

作者：

Raju, Thokala Soloman ^{[1
]}

机构：

[1] Natl Inst Sci & Technol, Dept Phys, Brahmapur 761008, Odisha, India

来源：

PHYSICS LETTERS A | 2021年 / 414卷

关键词：

Ac-driven sine-Gordon equation; Controlling chaos; Mobius-type standing waves; GEOMETRICAL RESONANCE; SPATIOTEMPORAL CHAOS; OPTICAL SOLITONS; SUPPRESSION;

D O I：

10.1016/j.physleta.2021.127623

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Readily evaluated nonlinear Lorentzian-type standing wave solutions of ac-driven sine-Gordon equation are presented, by applying a nonfeedback mechanism for chaos control. Three distinct species of Mobius-type standing waves are described: (i) periodic breathers, (ii) hyperbolic breathers, and (iii) Jacobian elliptic breathers. Parameter domains are delineated in which these novel waves exist. For instance, it is exhibited that the amplitude of the periodic breather is proportional to the strength of the ac-driver. For the kink-type and periodic-kink-type waves the strength of the forcing term should be always greater than or equal to 4, in order that these waves to be observed physically as fluxons in long Josephson junctions. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：4

共 25 条

[1] A new approach for one-dimensional sine-Gordon equation [J].

Akgul, Ali ;

Inc, Mustafa ;

Kilicman, Adem ;

Baleanu, Dumitru .

ADVANCES IN DIFFERENCE EQUATIONS, 2016, :1-20

[2] CONTROLLING EXTENDED SYSTEMS OF CHAOTIC ELEMENTS [J].

AUERBACH, D .

PHYSICAL REVIEW LETTERS, 1994, 72 (08) :1184-1187

[3] Resonance phenomena in bistable systems [J].

Chacón, R .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (07) :1823-1829

[4] Geometrical resonance in a driven symmetric bistable system subjected to strong or to weak damping [J].

Chacon, R .

PHYSICAL REVIEW E, 1996, 54 (06) :6153-6159

[5] ROUTES TO SUPPRESSING CHAOS BY WEAK PERIODIC PERTURBATIONS [J].

CHACON, R ;

BEJARANO, JD .

PHYSICAL REVIEW LETTERS, 1993, 71 (19) :3103-3106

[6] Chaos and geometrical resonance in the damped pendulum subjected to periodic pulses [J].

Chacon, R .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (03) :1477-1483

[7] Geometrical resonance as a chaos eliminating mechanism [J].

Chacon, R .

PHYSICAL REVIEW LETTERS, 1996, 77 (03) :482-485

[8] Maintenance and suppression of chaos by weak harmonic perturbations:: A unified view [J].

Chacón, R .

PHYSICAL REVIEW LETTERS, 2001, 86 (09) :1737-1740

[9] Analytic study on the influences of higher-order effects on optical solitons in fiber laser [J].

Fan, Xiaoyu ;

Qu, Tianqi ;

Huang, Shucheng ;

Chen, Xiaoxiao ;

Cao, Menghua ;

Zhou, Qin ;

Liu, Wenjun .

OPTIK, 2019, 186 :326-331

[10] CONTROLLING CARDIAC CHAOS [J].

GARFINKEL, A ;

SPANO, ML ;

DITTO, WL ;

WEISS, JN .

SCIENCE, 1992, 257 (5074) :1230-1235

← 1 2 3 →