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@ARTICLE{Siminos:205673,
      author       = {Siminos, E. and Sánchez-Arriaga, G. and Saxena, V. and
                      Kourakis, I.},
      title        = {{M}odeling relativistic soliton interactions in overdense
                      plasmas: {A} perturbed nonlinear {S}chrödinger equation
                      framework},
      journal      = {Physical review / E},
      volume       = {90},
      number       = {6},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PUBDB-2015-00233},
      pages        = {063104},
      year         = {2014},
      note         = {(c) American Physical Society},
      abstract     = {We investigate the dynamics of localized solutions of the
                      relativistic cold-fluid plasma model in the small but finite
                      amplitude limit, for slightly overcritical plasma density.
                      Adopting a multiple scale analysis, we derive a perturbed
                      nonlinear Schrödinger equation that describes the evolution
                      of the envelope of circularly polarized electromagnetic
                      field. Retaining terms up to fifth order in the small
                      perturbation parameter, we derive a self-consistent
                      framework for the description of the plasma response in the
                      presence of localized electromagnetic field. The formalism
                      is applied to standing electromagnetic soliton interactions
                      and the results are validated by simulations of the full
                      cold-fluid model. To lowest order, a cubic nonlinear
                      Schrödinger equation with a focusing nonlinearity is
                      recovered. Classical quasiparticle theory is used to obtain
                      analytical estimates for the collision time and minimum
                      distance of approach between solitons. For larger soliton
                      amplitudes the inclusion of the fifth-order terms is
                      essential for a qualitatively correct description of soliton
                      interactions. The defocusing quintic nonlinearity leads to
                      inelastic soliton collisions, while bound states of solitons
                      do not persist under perturbations in the initial phase or
                      amplitude.},
      cin          = {FS-CFEL-3},
      ddc          = {530},
      cid          = {I:(DE-H253)FS-CFEL-3-20120731},
      pnm          = {FS In-house research / theory (POF2-544)},
      pid          = {G:(DE-H253)POF2-(In-house)-20130405},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000349306300007},
      pubmed       = {pmid:25615203},
      doi          = {10.1103/PhysRevE.90.063104},
      url          = {https://bib-pubdb1.desy.de/record/205673},
}