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Title: Breather--kink-antikink-pair conversion in the driven sine-Gordon system

Abstract

Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated: large driving forces cause the breather to split into a kk-bar (2..pi.. kink--2..pi.. antikink) pair while for small driving forces the breather excitations enter stationary modes. A perturbation method and a potential-energy argument yields expressions for the threshold for breather decomposition. Good agreement between theory and numerical results is found when the initial phase (theta) of the breather is either 0 or ..pi... For thetaapprox. =..pi../2 and thetaapprox. =3..pi../2 the deviation gets larger.

Authors:
; ;
Publication Date:
Research Org.:
Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
OSTI Identifier:
5168581
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 29:1
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SOLITONS; BOUND STATE; EXCITATION; FREQUENCY ANALYSIS; DISTURBANCES; SINE-GORDON EQUATION; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FIELD EQUATIONS; QUASI PARTICLES; 658000* - Mathematical Physics- (-1987)

Citation Formats

Lomdahl, P S, Olsen, O H, and Samuelsen, M R. Breather--kink-antikink-pair conversion in the driven sine-Gordon system. United States: N. p., 1984. Web. doi:10.1103/PhysRevA.29.350.
Lomdahl, P S, Olsen, O H, & Samuelsen, M R. Breather--kink-antikink-pair conversion in the driven sine-Gordon system. United States. https://doi.org/10.1103/PhysRevA.29.350
Lomdahl, P S, Olsen, O H, and Samuelsen, M R. Sun . "Breather--kink-antikink-pair conversion in the driven sine-Gordon system". United States. https://doi.org/10.1103/PhysRevA.29.350.
@article{osti_5168581,
title = {Breather--kink-antikink-pair conversion in the driven sine-Gordon system},
author = {Lomdahl, P S and Olsen, O H and Samuelsen, M R},
abstractNote = {Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated: large driving forces cause the breather to split into a kk-bar (2..pi.. kink--2..pi.. antikink) pair while for small driving forces the breather excitations enter stationary modes. A perturbation method and a potential-energy argument yields expressions for the threshold for breather decomposition. Good agreement between theory and numerical results is found when the initial phase (theta) of the breather is either 0 or ..pi... For thetaapprox. =..pi../2 and thetaapprox. =3..pi../2 the deviation gets larger.},
doi = {10.1103/PhysRevA.29.350},
url = {https://www.osti.gov/biblio/5168581}, journal = {Phys. Rev. A; (United States)},
number = ,
volume = 29:1,
place = {United States},
year = {1984},
month = {1}
}