The sine-Gordon wobble

被引：29

作者：

Kälbermann, G ^{[1
]}

机构：

[1] Fac Agr, Dept Soil & Water, IL-76100 Rehovot, Israel

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 48期

关键词：

D O I：

10.1088/0305-4470/37/48/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Nonperturbative, oscillatory, winding number 1 solutions of the sine-Gordon equation are presented and studied numerically. We call these nonperturbative shape modes wobble solitons. Perturbed sine-Gordon kinks are found to decay to wobble solitons.

引用

页码：11603 / 11612

页数：10

共 14 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4

[2] THE RIGIDITY OF SINE-GORDON BREATHERS [J].

BIRNIR, B ;

MCKEAN, HP ;

WEINSTEIN, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1994, 47 (08) :1043-1051

[3] SPONTANEOUS EMISSION OF RADIATION FROM A DISCRETE SINE-GORDON KINK [J].

BOESCH, R ;

WILLIS, CR ;

ELBATANOUNY, M .

PHYSICAL REVIEW B, 1989, 40 (04) :2284-2296

[4]

Eisenhart L. P., 1960, TREATISE DIFFERENTIA

[5] DYNAMICS OF SINE-GORDON SOLITONS IN PRESENCE OF PERTURBATIONS [J].

FOGEL, MB ;

TRULLINGER, SE ;

BISHOP, AR ;

KRUMHANSL, JA .

PHYSICAL REVIEW B, 1977, 15 (03) :1578-1592

[6] Internal modes of solitary waves [J].

Kivshar, YS ;

Pelinovsky, DE ;

Cretegny, T ;

Peyrard, M .

PHYSICAL REVIEW LETTERS, 1998, 80 (23) :5032-5035

[7]

LMB GL, 1980, ELEMENTS SOLITON THE

[8] Existence of internal modes of sine-Gordon kinks [J].

Quintero, NR ;

Sánchez, A ;

Mertens, FG .

PHYSICAL REVIEW E, 2000, 62 (01) :R60-R63

[9]

Rajaraman R, 1987, SOLITONS INSTANTONS

[10]

REOISSENET M, 1996, WAVES CALLED SOLITON

← 1 2 →