Abstract
Two-kink soliton solutions have received attention due to its implications in string theory and particles physics. In the present work we analyze the necessary conditions for the appearance of two-kink solitons in the sine-Gordon model under the perturbation of a space-dependant force. Interactions of two-kink solitons are also investigated. We show that kink repulsive force eventually leads to a fragmentation of the solution before interaction and finally to dissolution of these bound states.
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References
T. Dauxois, M. Peyrard, Physics of Solitons (Cambridge University Press, 2006)
J.A. González, J.A. Holyst, Phys. Rev. 35, 3643 (1987)
D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003)
D. Bazeia, L. Losano, J. Malbouisson, R. Menezes, Phys. D 237, 937 (2008)
D. Bazeia, J. Furtado, A.R. Gomes, JCAP 02, 002 (2004)
A. de Souza Dutra, Phys. D D238, 798 (2009)
A.E.R. Chumbes, M.B. Hott, Phys. Rev. D 81, 045008 (2010)
A.V. Ustinov, B.A. Malomed, S. Sakai, Phys. Rev. B 57, 11691 (1998)
J. Pfeiffer, M. Schuster, A. Abdumalikov Jr, A. Ustinov, Phys. Rev. Lett. 96(3), 34103 (2006)
B.A. Malomed, Phys. Rev. B 47(2), 1111 (1993)
A.R. Champneys, Y.S. Kivshar, Phys. Rev. E 61, 2551 (2000)
A.A. Aigner, A.R. Champneys, V.M. Rothos, Phys. D 186, 148 (2003)
M.A. García-Nustes, J.A. González, Phys. Rev. E 86, 066602 (2012)
J.A. González, J.A. Holyst, Phys. Rev. B 45, 10338 (1992)
Y.S. Kivshar, B.A. Malomed, Rev. Mod. Phys. 61, 763 (1989)
A. Barone, G. Paternó, Physics and Applications of the Josephson Effect (Interscience, 1982)
C.B. Tabi, A. Mohamodau, T.C. Kofané, Phys. Scr. 77, 045002 (2008)
J.A. González, A. Bellorín, L.E. Guerrero, Phys. Rev. E 65, 065601 (2002)
J.A. González, A. Bellorín, L. Guerrero, Phys. Rev. E 60, R37 (1999)
J.A. González, M.A. García-Nustes, A. Sánchez, P.V.E. McClintock, New J. Phys. 10, 113015 (2008)
B.A. Mello, J.A. González, L.E. Guerrero, E. Lopez-Atencio, Phys. Lett. A 244, 277 (1998)
J.V. José, E.J. Saletan, Classical Dynamics: A Contemporary Approach (Cambridge University Press, 1998)
T.S. Mendonca, H.P. de Oliveira, J. High Energy Phys. 133, 1 (2015)
T.S. Mendonca, H.P. de Oliveira, Arxiv. 1502.03870, 1 (2015)
Acknowledgments
M.A.G-N. thanks FONDECYT project 11130450 for funding support.
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García-Ñustes, M.A. (2016). Formation and Interaction of Two-Kink Solitons. In: Tlidi, M., Clerc, M. (eds) Nonlinear Dynamics: Materials, Theory and Experiments. Springer Proceedings in Physics, vol 173. Springer, Cham. https://doi.org/10.1007/978-3-319-24871-4_24
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DOI: https://doi.org/10.1007/978-3-319-24871-4_24
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