Vibrations and oscillatory instabilities of gap solitons

被引：234

作者：

Barashenkov, IV ^{[1
]}

Pelinovsky, DE

Zemlyanaya, EV

机构：

[1] Univ Cape Town, Dept Math Appl, ZA-7701 Rondebosch, South Africa

[2] Joint Inst Nucl Res, Lab Comp Tech & Automat, Dubna 141980, Russia

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.80.5117

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Stability of optical gap solitons is analyzed within a coupled-mode theory. Lower intensity solitons are shown to always possess a vibration mode responsible for their long-lived oscillations. As the intensity of the soliton is increased, the vibration mode falls into resonance with two branches of the long-wavelength radiation producing a cascade of oscillatory instabilities of higher intensity solitons.

引用

页码：5117 / 5120

页数：4

共 31 条

[1] SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].

ACEVES, AB ;

WABNITZ, S .

PHYSICS LETTERS A, 1989, 141 (1-2) :37-42

[2] INTERACTION DYNAMICS FOR THE SOLITARY WAVES OF A NON-LINEAR DIRAC MODEL [J].

ALVAREZ, A ;

CARRERAS, B .

PHYSICS LETTERS A, 1981, 86 (6-7) :327-332

[3] STABILITY OF THE MINIMUM SOLITARY WAVE OF A NONLINEAR SPINORIAL MODEL [J].

ALVAREZ, A ;

SOLER, M .

PHYSICAL REVIEW D, 1986, 34 (02) :644-645

[4] ENERGETIC STABILITY-CRITERION FOR A NON-LINEAR SPINORIAL MODEL [J].

ALVAREZ, A ;

SOLER, M .

PHYSICAL REVIEW LETTERS, 1983, 50 (17) :1230-1233

[5] STABILITY DIAGRAM OF THE PHASE-LOCKED SOLITONS IN THE PARAMETRICALLY DRIVEN, DAMPED NONLINEAR SCHRODINGER-EQUATION [J].

BARASHENKOV, IV ;

BOGDAN, MM ;

KOROBOV, VI .

EUROPHYSICS LETTERS, 1991, 15 (02) :113-118

[6] Stability criterion for dark solitons [J].

Barashenkov, IV .

PHYSICAL REVIEW LETTERS, 1996, 77 (07) :1193-1197

[7]

BARASHENKOV IV, 1983, ACTA PHYS AUSTRIACA, V55, P155

[8] STABILITY OF NONLINEAR SPINOR FIELDS WITH APPLICATION TO THE GROSS-NEVEU MODEL [J].

BLANCHARD, P ;

STUBBE, J ;

VAZQUEZ, L .

PHYSICAL REVIEW D, 1987, 36 (08) :2422-2428

[9] SPINOR SOLITON STABILITY [J].

BOGOLUBSKY, IL .

PHYSICS LETTERS A, 1979, 73 (02) :87-90

[10] Stability of three-wave parametric solitons in diffractive quadratic media [J].

Buryak, AV ;

Kivshar, YS ;

Trillo, S .

PHYSICAL REVIEW LETTERS, 1996, 77 (26) :5210-5213

← 1 2 3 4 →