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Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein–Gordon Lattices

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Nonlinear Science and Complexity

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Abstract

Collisions between moving localized modes (moving breathers) in non-integrable lattices present a rich outcome. In this paper, some features of the interaction of moving breathers in Discrete Nonlinear Schrödinger and Klein–Gordon lattices, together with some plausible explanations, are exposed.

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Notes

  1. 1.

    Breather collisions in FPU lattices (i.e. Klein–Gordon lattices without substrate potential and nonlinear interaction potential) have been extensively studied in Ref. [12].

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Author information

Authors and Affiliations

  1. Grupo de Física No Lineal, Departamento de Física Aplicada I, EU Politécnica, Universidad de Sevilla, C/ Virgen de África, 7, 41011, Sevilla, Spain

    J. Cuevas

  2. Grupo de Física No Lineal, Departamento de F.A.M.N. Facultad de Física, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    A. Álvarez & F. R. Romero

  3. Grupo de Física No Lineal, Departamento de Física Aplicada I, ETSI Informática, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    J. F. R. Archilla

Authors
  1. J. Cuevas
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  2. A. Álvarez
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  3. F. R. Romero
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  4. J. F. R. Archilla
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Corresponding author

Correspondence to J. Cuevas .

Editor information

Editors and Affiliations

  1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    J.A. Tenreiro Machado

  2. Dept. of Mech. & Industr. Engineering, Southern Illinois Univ. Edwardsville, Edwardsville, 62026-1805, Illinois, USA

    Albert C.J. Luo

  3. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Ramiro S. Barbosa

  4. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Manuel F. Silva

  5. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Lino B. Figueiredo

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Cuevas, J., Álvarez, A., Romero, F.R., Archilla, J.F.R. (2011). Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein–Gordon Lattices. In: Machado, J., Luo, A., Barbosa, R., Silva, M., Figueiredo, L. (eds) Nonlinear Science and Complexity. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9884-9_20

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  • DOI: https://doi.org/10.1007/978-90-481-9884-9_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9883-2

  • Online ISBN: 978-90-481-9884-9

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