Structure and Properties of Four-Kink Multisolitons of the Sine-Gordon Equation

被引：15

作者：

Gumerov, A. M. ^{[1
]}

Ekomasov, E. G. ^{[1
]}

Zakir'yanov, F. K. ^{[1
]}

Kudryavtsev, R. V. ^{[1
]}

机构：

[1] Bashkir State Univ, Ufa 450076, Bashkortostan, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 03期

关键词：

sine-Gordon equation; four-kink multisolitons; structure and properties of solitons; numerical-analytical study; IMPURITY INTERACTIONS; DOMAIN-WALL; SOLITON; DYNAMICS; KINKS; MODEL; PERTURBATIONS; SCATTERING; ANISOTROPY; FIELD;

D O I：

10.1134/S0965542514030075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.

引用

页码：491 / 504

页数：14

共 44 条

[1]

[Алфимов Георгий Леонидович Alfimov G.L.], 2009, [Нелинейная динамика, Russian Journal of Nonlinear Dynamics, Nelineinaya dinamika], V5, P585

[2]

[Anonymous], NONLINEAR OSCILLATIO

[3]

[Anonymous], 2008, FRENKEL KONTOROVA MO

[4]

[Anonymous], 2000, NONLINEAR WAVE PROCE

[5]

Belova T. I., 1997, Physics-Uspekhi, V40, P359, DOI 10.1070/PU1997v040n04ABEH000227

[6] The solution of the two-dimensional sine-Gordon equation using the method of lines [J].

Bratsos, A. G. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) :251-277

[7] NUMERICAL-SIMULATION OF SINE-GORDON SOLITON DYNAMICS IN PRESENCE OF PERTURBATIONS [J].

CURRIE, JF ;

TRULLINGER, SE ;

BISHOP, AR ;

KRUMHANSL, JA .

PHYSICAL REVIEW B, 1977, 15 (12) :5567-5580

[8] Studying the nucleation and evolution of magnetic inhomogeneities of the soliton and breather type in magnetic materials with local inhomogeneities of anisotropy [J].

Ekomasov, E. G. ;

Azamatov, Sh. A. ;

Murtazin, R. R. .

PHYSICS OF METALS AND METALLOGRAPHY, 2008, 105 (04) :313-321

[9]

[Екомасов Е.Г. Ekomasov E.G.], 2012, [Компьютерные исследования и моделирование, Computer Research and Modeling, Komp'yuternye issledovaniya i modelirovanie], V4, P509

[10] One-dimensional dynamics of domain walls in two-layer ferromagnet structure with different parameters of magnetic anisotropy and exchange [J].

Ekomasov, E. G. ;

Murtazin, R. R. ;

Bogomazova, O. B. ;

Gumerov, A. M. .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2013, 339 :133-137

← 1 2 3 4 5 →