Internal modes of solitary waves

被引：184

作者：

Kivshar, YS ^{[1
]}

Pelinovsky, DE

Cretegny, T

Peyrard, M

机构：

[1] Australian Natl Univ, Ctr Opt Sci, Canberra, ACT 0200, Australia

[2] Univ Cape Town, Dept Math Appl, ZA-7701 Rondeboch, Western Cape, South Africa

[3] Ecole Normale Super Lyon, Phys Lab, F-69364 Lyon, France

来源：

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

关键词：

D O I：

10.1103/PhysRevLett.80.5032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop an analytical approach for describing a birth of internal modes of solitary waves in nonintegrable nonlinear models. We show that a small perturbation of a proper sign to an integrable model can create a soliton internal mode bifurcating from the continuous wave spectrum. The theory is applied to the double sine-Gordon and discrete nonlinear Schrodinger equations, and an excellent agreement with numerical data is demonstrated.

引用

页码：5032 / 5035

页数：4

共 19 条

[1] EXISTENCE OF AN INTERNAL QUASIMODE FOR A SINE-GORDON SOLITON [J].

BOESCH, R ;

WILLIS, CR .

PHYSICAL REVIEW B, 1990, 42 (04) :2290-2306

[2] RESONANCE STRUCTURE IN KINK ANTIKINK INTERACTIONS IN PHI-4 THEORY [J].

CAMPBELL, DK ;

SCHONFELD, JF ;

WINGATE, CA .

PHYSICA D-NONLINEAR PHENOMENA, 1983, 9 (1-2) :1-32

[3] KINK-ANTIKINK INTERACTIONS IN THE DOUBLE SINE-GORDON EQUATION [J].

CAMPBELL, DK ;

PEYRARD, M ;

SODANO, P .

PHYSICA D, 1986, 19 (02) :165-205

[4] Origin of the persistent oscillations of solitary waves in nonlinear quadratic media [J].

Etrich, C ;

Peschel, U ;

Lederer, F ;

Malomed, BA ;

Kivshar, YS .

PHYSICAL REVIEW E, 1996, 54 (04) :4321-4324

[5] BREATHERLIKE IMPURITY MODES IN DISCRETE NONLINEAR LATTICES [J].

HENNIG, D ;

RASMUSSEN, KO ;

TSIRONIS, GP ;

GABRIEL, H .

PHYSICAL REVIEW E, 1995, 52 (05) :R4628-R4631

[6] PERTURBATION-THEORY FOR SOLITONS IN OPTICAL FIBERS [J].

KAUP, DJ .

PHYSICAL REVIEW A, 1990, 42 (09) :5689-5694

[7] Dark optical solitons: physics and applications [J].

Kivshar, YS ;

Luther-Davies, B .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 298 (2-3) :81-197

[8] RESONANT SOLITON-IMPURITY INTERACTIONS [J].

KIVSHAR, YS ;

ZHANG, F ;

VAZQUEZ, L .

PHYSICAL REVIEW LETTERS, 1991, 67 (10) :1177-1180

[9]

KIVSHAR YS, 1989, REV MOD PHYS, V63, P761

[10] ANALYTIC CRITERION FOR SOLITON INSTABILITY IN A NONLINEAR FIBER ARRAY [J].

LAEDKE, EW ;

SPATSCHEK, KH ;

TURITSYN, SK ;

MEZENTSEV, VK .

PHYSICAL REVIEW E, 1995, 52 (05) :5549-5554

← 1 2 →