Weakly Disordered Nonlinear Schroedinger Equation

Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

By using a perturbational approach, we analyze the evolution of solitary waves in a nonlocal medium in the presence of perturbative disorder. An increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. We compare the analytical predictions with numerical simulations based on stochastic partial differential equations.

Keywords

Solitary Wave Random Fluctuation Stochastic Partial Differential Equation Evolution Coordinate Nonlocal Nonlinear Medium 
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References

  1. 1.
    Królikowski W, Bang O (2000) Phys Rev E 63:016610ADSCrossRefGoogle Scholar
  2. 2.
    Stoof H (1999) J Low Temp Phys 114:11CrossRefGoogle Scholar
  3. 3.
    Conti C, Ruocco G, Trillo S (2005) Phys Rev Lett 95:183902ADSCrossRefGoogle Scholar
  4. 4.
    Snyder AW, Mitchell DJ (1997) Science 276:1538CrossRefGoogle Scholar
  5. 5.
    Iannone E, Matera F, Mecozzi A, Settembre M (1998) Nonlinear optical communication networks. Wiley, New YorkGoogle Scholar
  6. 6.
    Gordon JP, Haus HA (1986) Opt Lett 11:665ADSCrossRefGoogle Scholar
  7. 7.
    Werner MJ, Drummond PD (1997) J Comput Phys 132:312MathSciNetADSMATHCrossRefGoogle Scholar
  8. 8.
    Qiang J, Habib S (2000) Phys Rev E 62:7430ADSCrossRefGoogle Scholar
  9. 9.
    Conti C, Peccianti M, Assanto G (2004) Phys Rev Lett 92:113902ADSCrossRefGoogle Scholar
  10. 10.
    Kartashov YV, Vysloukh VA, Torner L (2008) Phys. Rev. A 77:051802 Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.Dipartimento di FisicaSapienza Università di RomaRomeItaly

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