### Abstract

We use a non-Lagrangian method to express the generalized nonlinear Schrodinger equation, for pulse propagation in optical fibres, in terms of the pulse parameters, called collective variables, such as the pulse width, amplitude, chirp and frequency. The collective variable equations of motion, which include the important effects due to fibre losses, third-order dispersion, stimulated Raman scattering and self-steepening are derived using a direct averaging method without the help of any Lagrangian.

Original language | English |
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Pages (from-to) | 129-136 |

Number of pages | 7 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 34 |

Publication status | Published - 2001 |

### Keywords

- VARIATIONAL APPROACH
- PULSE-PROPAGATION
- TRANSMISSION
- DISPERSION
- PERTURBATION
- FREQUENCY
- EQUATIONS
- FIBERS
- KINK

## Cite this

Moubissi, A. B., Kaliyaperumal, N., Tchofo Dinda, P., & Kofane, T. C. (2001). Non-Lagrangian collective variable approach for optical solitons in fibers.

*Journal of Physics A: Mathematical and General*,*34*, 129-136.