DOI: 10.1063/1.1597071. Resonant scattering of solitons

10.1063/1.1597071

Crossref journal-article

AIP Publishing

Chaos: An Interdisciplinary Journal of Nonlinear Science (317)

Abstract

We study the scattering of solitons in the nonlinear Schrödinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton’s velocity. The analytical predictions are tested numerically in regimes characterized by various time scales. Special attention is paid to intermode interactions and their effect on coherence, decoherence, and dephasing of plane-wave modes which build up the soliton.

Bibliography

Miroshnichenko, A. E., Flach, S., & Malomed, B. (2003). Resonant scattering of solitons. Chaos: An Interdisciplinary Journal of Nonlinear Science, 13(3), 874â879.

Authors 3

A. E. Miroshnichenko (first)
S. Flach (additional)
B. Malomed (additional)

References 28 Referenced 36

{'key': '2024020122582264800_r1'}
{'key': '2024020122582264800_r2', 'first-page': '161', 'volume': '162', 'year': '1992', 'journal-title': 'Usp. Fiz. Nauk'} / Usp. Fiz. Nauk (1992)
{'key': '2024020122582264800_r3'}
{'key': '2024020122582264800_r4'}
10.1016/S0370-1573(98)00025-8 / Phys. Rep. (1999)
{'key': '2024020122582264800_r6'}
{'key': '2024020122582264800_r7'}
10.1103/PhysRev.124.1866 / Phys. Rev. (1961)
10.1103/PhysRevLett.11.158 / Phys. Rev. Lett. (1963)
{'key': '2024020122582264800_r9'}
10.1103/PhysRevB.47.10578 / Phys. Rev. B (1993)
10.1103/PhysRevB.50.17415 / Phys. Rev. B (1994)
{'key': '2024020122582264800_r12'}
10.1016/S0167-2789(96)00261-8 / Physica D (1997)
{'key': '2024020122582264800_r12b', 'first-page': '182', 'volume': '295', 'year': '1998', 'journal-title': 'Phys. Rep.'} / Phys. Rep. (1998)
10.1063/1.1561627 / Chaos (2003)
10.1103/PhysRevLett.90.084101 / Phys. Rev. Lett. (2003)
10.1103/PhysRevE.56.R4955 / Phys. Rev. E (1997)
10.1016/S0167-2789(00)00011-7 / Physica D (2000)
{'key': '2024020122582264800_r15b', 'first-page': '73', 'volume': '199', 'year': '1998', 'journal-title': 'Physica D'} / Physica D (1998)
10.1103/PhysRevLett.81.3383 / Phys. Rev. Lett. (1998)
10.1103/PhysRevLett.90.023902 / Phys. Rev. Lett. (2003)
10.1103/PhysRevB.59.8639 / Phys. Rev. B (1999)
10.1103/PhysRevB.47.10402 / Phys. Rev. B (1993)
10.1103/RevModPhys.61.763 / Rev. Mod. Phys. (1989)
10.1016/0375-9601(95)00611-6 / Phys. Lett. A (1995)
10.1016/0375-9601(96)00489-6 / Phys. Lett. A (1996)
10.1088/0305-4470/35/49/302 / J. Phys. A (2002)

Dates

Type	When
Created	22 years ago (Aug. 29, 2003, 10:15 a.m.)
Deposited	1 year, 7 months ago (Feb. 1, 2024, 6:50 p.m.)
Indexed	1 year, 1 month ago (July 9, 2024, 1:17 a.m.)
Issued	22 years ago (Sept. 1, 2003)
Published	22 years ago (Sept. 1, 2003)
Published Print	22 years ago (Sept. 1, 2003)

Funders 0

None

BibTeX

@article{Miroshnichenko_2003, title={Resonant scattering of solitons}, volume={13}, ISSN={1089-7682}, url={http://dx.doi.org/10.1063/1.1597071}, DOI={10.1063/1.1597071}, number={3}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP Publishing}, author={Miroshnichenko, A. E. and Flach, S. and Malomed, B.}, year={2003}, month=sep, pages={874–879} }

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