Dynamics of Discrete Solitons in Media with Varying Nonlinearity

Abdullaev, F. Kh.; Tsoy, E. N.; Malomed, B. A.; Kraenkel, R. A.

doi:10.1007/1-4020-2190-9_44

F. Kh. Abdullaev⁴,
E. N. Tsoy⁴,
B. A. Malomed⁵ &
…
R. A. Kraenkel⁶

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 153))

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Abstract

The dynamics of discrete solitons under the action of periodic modulations of the nonlinearity is considered. The existence of quasi-stationary states is predicted in the cases of both slow and rapid modulations. A possibility of soliton splitting in the case of resonance modulations is demonstrated.

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Authors and Affiliations

Physical-Technical Institute of the Uzbek Academy of Sciences, Mavlyanov st., 2-B, Tashkent, 700084, Uzbekistan
F. Kh. Abdullaev & E. N. Tsoy
Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel-Aviv, 69978, Israel
B. A. Malomed
Instituto de Fíisica Teóorica, UNESP, R. Pamplona 145, 01405-900, Sãao Paulo, Brazil
R. A. Kraenkel

Authors

F. Kh. Abdullaev
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E. N. Tsoy
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B. A. Malomed
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R. A. Kraenkel
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Editors and Affiliations

Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan
Fatkhulla Kh. Abdullaev
Centro de Fisica Teórica e Computacional, Universidade de Lisboa, Portugal
Vladimir V. Konotop
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Portugal
Vladimir V. Konotop

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Abdullaev, F.K., Tsoy, E.N., Malomed, B.A., Kraenkel, R.A. (2004). Dynamics of Discrete Solitons in Media with Varying Nonlinearity. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_44

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DOI: https://doi.org/10.1007/1-4020-2190-9_44
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2188-6
Online ISBN: 978-1-4020-2190-9
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