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A remark about the justification of the nonlinear Schrödinger equation in quadratic spatially periodic media

  • Carsten Blank
  • Martina Chirilus Bruckner
  • Christopher Chong
  • Vincent Lescarret
  • Guido SchneiderEmail author
  • Hannes Uecker
Article
  • 69 Downloads

Abstract.

We prove the validity of a technical assumption necessary in a proof of the validity of the nonlinear Schrödinger equation as envelope equation in quadratic spatially periodic media.

Mathematics Subject Classiffication (2000).

34C20 35L05 35Q60 

Keywords.

Normalform transformation Bloch wave interaction 

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Copyright information

© Birkhaeuser 2007

Authors and Affiliations

  • Carsten Blank
    • 2
  • Martina Chirilus Bruckner
    • 2
  • Christopher Chong
    • 2
  • Vincent Lescarret
    • 2
  • Guido Schneider
    • 2
    Email author
  • Hannes Uecker
    • 1
  1. 1.Institut für MathematikCarl von Ossietzky Universität OldenburgOldenburgGermany
  2. 2.Institut für Analysis, Dynamik und ModellierungUniversität StuttgartStuttgartGermany

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