Analytical solutions for the variational equations derived for the nonlinear Schrödinger equation: Dispersion-managed fiber system

Abdosllam Moftah Abobaker, A.B. Moubissi, Th.B. Ekogo, Kaliyaperumal Nakkeeran

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider the nonlinear Schrödinger equation which governs
the pulse propagation in dispersion-managed (DM) optical fiber
transmission systems. Using a generalized form of ansatz function
for the shape of the pulse we derive the variational equations.
For a particular case of DM fiber system when the Hamiltonian is zero,
we solve the variational equations analytically and obtain
the expressions for the pulse energy, amplitude, width and chirp.
Finally for Gaussian and hyperbolic secant shaped pulses we show
through numerical simulations that the analytically calculated energy
(for the given pulse width and chirp) is good enough to support the periodic evolution of the DM soliton. The simulations are carried out for conventional and dense DM fiber systems for both lossless and lossy cases.

Original languageEnglish
Pages (from-to)285-297
Number of pages13
JournalJournal of Nonlinear Optical Physics and Materials
Volume17
Issue number3
DOIs
Publication statusPublished - Sep 2008

Keywords

  • Optical fibers
  • dispersion-managed (DM) solitons
  • nonlinear Schrödinger equation (NLSE)
  • variational method
  • Gaussian ansatz
  • hyperbolic secant ansatz

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