On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method

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Abstract

Based on the recently reported generalized projection operator method for nonlinear Schrodinger equation, one can derive two different sets of pulse parameters equations while using ansatze like hyperbolic secant or raised-cosine. We show that in case of a Gaussian like ansatz those sets of equations are unique because of the symmetric property between the ansatz parameters. (C) 2004 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)239-243
Number of pages4
JournalPhysics Letters A
Volume332
DOIs
Publication statusPublished - 2004

Keywords

  • nonlinear Schrodinger equation
  • projection operator method
  • Lagrangian variational method
  • Gaussian ansatz

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