Open Access


Download data is not yet available.


We study the transmission of optical solitons in a nonlinear waveguide with the generic Kerr nonlinearity coefficient, the frequency dependent linear gain-loss, and the Ginzburg-Landau (GL) gain-loss profile. We first derive the expression for the collision-induced amplitude dynamics of two fast single solitons in the presence of weak cubic loss and weak quintic loss. This expression is then used to study the amplitude dynamics of solitons in multichannel optical waveguide systems. We show that the dynamics of soliton amplitudes in two-sequence transmission with the GL gain-loss profile are described by a Lotka-Volterra (LV) model. The stability analysis for the LV model is used to obtain the simple conditions on the physical parameters and to calculate the linear amplifier gain-loss for the transmission stabilization of the soliton sequences. The theoretical calculations are then confirmed by numerical simulations with the corresponding nonlinear Schrödinger (NLS) models. Furthermore, the optimal value of the Kerr nonlinearity coefficient for the robust transmission stabilization of the soliton sequences with the GL gain-loss profile is also proposed.

Author's Affiliation
  • Toan Thanh Huynh

    Email I'd for correspondance:
    Google Scholar Pubmed

Article Details

Issue: Vol 25 No 1 (2022)
Page No.: 2342-2353
Published: Mar 31, 2022
Section: Section: NATURAL SCIENCES

 Copyright Info

Creative Commons License

Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Funding data

 How to Cite
Huynh, T. (2022). On the amplitude dynamics of solitons in waveguide systems with the generic Kerr nonlinearity coefficient and nonlinear gain-loss. VNUHCM Journal of Science and Technology Development, 25(1), 2342-2353.

 Cited by

Article level Metrics by Paperbuzz/Impactstory
Article level Metrics by Altmetrics

 Article Statistics
HTML = 675 times
PDF   = 64 times
Total   = 64 times