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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 1, Pages 59–65
DOI: https://doi.org/10.4213/tmf245 (Mi tmf245) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein–Gordon Lattices

J. Cuevas, F. Palmero, J. Archilla, F. R. Romero

University of Seville
Full-text PDF (203 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf245
Abstract: We study the interaction of moving localized oscillations with a local inhomogeneity in a discrete nonlinear Hamiltonian system. We conjecture that resonance with a static nonlinear localized oscillation centered at the local inhomogeneity is a necessary condition for observing the trapping phenomenon. Analytic calculations and numerical simulations agree well with our hypothesis.
Keywords: discrete breathers, mobile breathers, intrinsic localized modes, impurities, inhomogeneity.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 1, Pages 1406–1411
DOI: https://doi.org/10.1023/A:1026048521794
Bibliographic databases:
Language: Russian
Citation: J. Cuevas, F. Palmero, J. Archilla, F. R. Romero, “Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein–Gordon Lattices”, TMF, 137:1 (2003), 59–65; Theoret. and Math. Phys., 137:1 (2003), 1406–1411
Citation in format AMSBIB
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\paper Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein--Gordon Lattices
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\pages 59--65
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\jour Theoret. and Math. Phys.
\yr 2003
\vol 137
\issue 1
\pages 1406--1411
\crossref{https://doi.org/10.1023/A:1026048521794}
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Linking options:
  • https://www.mathnet.ru/eng/tmf245
  • https://doi.org/10.4213/tmf245
  • https://www.mathnet.ru/eng/tmf/v137/i1/p59
    • This publication is cited in the following 5 articles:
    1. Aguero, M, “Soliton Structures in a Molecular Chain Model with Saturation”, International Journal of Theoretical Physics, 48:3 (2009), 670  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. Jesús Cuevas, Faustino Palmero, Springer Tracts in Modern Physics, 232, The Discrete Nonlinear Schrödinger Equation, 2009, 353  crossref
    3. Palmero, F, “Solitons in one-dimensional nonlinear Schrodinger lattices with a local inhomogeneity”, Physical Review E, 77:3 (2008), 036614  crossref  mathscinet  adsnasa  isi  scopus  scopus
    4. Walet NR, Zakrzewski WJ, “A simple model of the charge transfer in DNA-like substances”, Nonlinearity, 18:6 (2005), 2615–2636  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Cuevas J, Kevrekidis PG, “Breather statics and dynamics in Klein-Gordon chains with a bend”, Physical Review E, 69:5 (2004), 056609  crossref  mathscinet  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:44
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