WIAS Preprint No. 1262, (2007)

Chaotic soliton walk in periodically modulated media


  • Turaev, Dmitry
  • Radziunas, Mindaugas
  • Vladimirov, Andrei G.

2010 Mathematics Subject Classification

  • 78A60 37K45

2008 Physics and Astronomy Classification Scheme

  • 42.65.Sf, 05.45.-a, 42.65.Tg


  • nonlinear Shrödinger equation, soliton, chaotic motion


We show that a weak transverse spatial modulation in (2+1) nonlinear Schrödinger equation with saturable nonlinearity can result in nontrivial dynamics of radially symmetric solitons. In particular, in the case of hexagonal profile of the modulation the soliton moves chaotically.

Appeared in

  • Phys. Rev. E, 77 (2008) pp. 06520/1--06520/4.

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