STABILIZATION OF BREATHERS IN A PARAMETRICALLY DRIVEN SINE-GORDON SYSTEM WITH LOSS

被引：27

作者：

GRONBECHJENSEN, N ^{[1
]}

KIVSHAR, YS ^{[1
]}

SAMUELSEN, MR ^{[1
]}

机构：

[1] KHARKOV LOW TEMP PHYS & ENGN INST, KHARKOV 310164, UKRAINE, USSR

来源：

PHYSICAL REVIEW B | 1991年 / 43卷 / 07期

关键词：

D O I：

10.1103/PhysRevB.43.5698

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We demonstrate that in a parametrically driven sine-Gordon system with loss, a breather, if driven, can be maintained in a steady state at half the external frequency. In the small-amplitude limit the system is described by the effective perturbed nonlinear Schrodinger equation. For an arbitrary breather amplitude the threshold field is determined by a perturbation method and compared with direct numerical simulations. Excellent agreement is found.

引用

页码：5698 / 5701

页数：4

共 16 条

[1]

AKHIEZER AI, 1967, SPIN WAVES

[2]

BARONE A, 1982, PHYSICS APPLICATIONS

[3]

BARYAKHTAR VG, 1980, ZH EKSP TEOR FIZ+, V78, P1509

[4] INFLUENCE OF SOLITONS IN THE INITIAL STATE ON CHAOS IN THE DRIVEN DAMPED SINE-GORDON SYSTEM [J].

BISHOP, AR ;

FESSER, K ;

LOMDAHL, PS ;

TRULLINGER, SE .

PHYSICA D, 1983, 7 (1-3) :259-279

[5]

BOGDAN MM, 1985, SOV J LOW TEMP PHYS, V11, P547

[6] THEORY OF NON-LINEAR OSCILLATING DIPOLAR EXCITATIONS IN ONE-DIMENSIONAL CONDENSATES [J].

KAUP, DJ ;

NEWELL, AC .

PHYSICAL REVIEW B, 1978, 18 (10) :5162-5167

[7] DYNAMICS OF SOLITONS IN NEARLY INTEGRABLE SYSTEMS [J].

KIVSHAR, YS ;

MALOMED, BA .

REVIEWS OF MODERN PHYSICS, 1989, 61 (04) :763-915

[8]

KIVSHAR YS, UNPUB

[9]

Kosevich A.M., 1983, NONLINEAR MAGNETIZAT

[10]

KOSEVICH AM, IN PRESS PHYS REP

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