Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

被引：10

作者：

Gonzalez, J. A. ^{[1
,2
]}

Bellorin, A. ^{[3
]}

Garcia-Nustes, M. A. ^{[4
]}

Guerrero, L. E. ^{[5
]}

Jimenez, S. ^{[6
]}

Vazquez, L. ^{[7
]}

机构：

[1] Florida Int Univ, Dept Phys, Miami, FL 33199 USA

[2] Miami Dade Coll, Dept Nat Sci, 627 SW 27th Ave, Miami, FL 33135 USA

[3] Univ Cent Venezuela, Escuela Fis, Fac Ciencias, Apartado Postal 47586,1041-A, Caracas, Venezuela

[4] Pontificia Univ Catolica Valparaiso, Inst Fis, Casilla 4059, Chile

[5] Univ Simon Bolivar, Dept Fis, Apartado Postal 89000,1080-A, Caracas, Venezuela

[6] Univ Politecn Madrid, Dept Matemat Aplicada TTII, ETSI Telecomunicac, E-28040 Madrid, Spain

[7] Univ Politecn Madrid, Dept Matemat Aplicada, Fac Informat, E-28040 Madrid, Spain

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 24期

关键词：

Sine-Gordon solitons; Internal (shape) modes; Long-range forces; ANTIKINK INTERACTIONS; RESONANCE PHENOMENA; SOLITONS; DYNAMICS; OSCILLATION; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.physleta.2017.03.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove analytically the existence of an infinite number of internal (shape) modes of sine-Gordon solitons in the presence of some inhomogeneous long-range forces, provided some conditions are satisfied. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1995 / 1998

页数：4

共 65 条

[1] Dynamical localization of matter-wave solitons in managed barrier potentials [J].

Abdullaev, Fatkhulla Kh. ;

Garnier, Josselin .

PHYSICAL REVIEW A, 2007, 75 (03)

[2]

[Anonymous], 1971, Practical Quantum Mechanics I

[3] Direct Observation of a Localized Magnetic Soliton in a Spin-Transfer Nanocontact [J].

Backes, D. ;

Macia, F. ;

Bonetti, S. ;

Kukreja, R. ;

Ohldag, H. ;

Kent, A. D. .

PHYSICAL REVIEW LETTERS, 2015, 115 (12)

[4] Wobbling kinks in φ4 theory [J].

Barashenkov, I. V. ;

Oxtoby, O. F. .

PHYSICAL REVIEW E, 2009, 80 (02)

[5] Charge-varying sine-Gordon deformed defects [J].

Bernardini, A. E. ;

Chinaglia, M. ;

da Rocha, Roldao .

EUROPEAN PHYSICAL JOURNAL PLUS, 2015, 130 (05) :1-17

[6]

Bishop A. R., 1980, Physica D, V1D, P1, DOI 10.1016/0167-2789(80)90003-2

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

BOESCH, R ;

WILLIS, CR .

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

[8]

Braun O., 2013, The Frenkel-Kontorova Model: Concepts, Methods, and Applications, Theoretical and Mathematical Physics

[9] Motion of Domain Walls and the Dynamics of Kinks in the Magnetic Peierls Potential [J].

Buijnsters, F. J. ;

Fasolino, A. ;

Katsnelson, M. I. .

PHYSICAL REVIEW LETTERS, 2014, 113 (21)

[10] Azimuthally modulated ring solitons in Bessel photonic lattices [J].

Cai, Zebin ;

Xu, Bin ;

Gong, Weiping ;

Xu, Yu ;

Liang, Jianchu .

OPTIK, 2013, 124 (11) :1029-1033

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