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Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation

  • E. V. Zemlyanaya
  • I. V. Barashenkov
  • N. V. Alexeeva
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

Time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation are determined as solutions of the boundary-value problem on a two-dimensional domain. We classify stability and bifurcations of single and double-periodic solutions.

Keywords

Periodic Solution Hopf Bifurcation Direct Numerical Simulation Bifurcation Diagram Floquet Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • E. V. Zemlyanaya
    • 1
  • I. V. Barashenkov
    • 2
  • N. V. Alexeeva
    • 2
  1. 1.Laboratory for Information TechnologiesJoint Institute for Nuclear ResearchDubnaRussia
  2. 2.Department of MathematicsUniversity of Cape TownRondeboschSouth Africa

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