Application of the Hamiltonian Formulation to Nonlinear Light-envelope Propagations

Guo Liang, Qi Guo, Zhanmei Ren

2016

Abstract

A new approach, which is based on the new canonical equations of Hamilton found by us recently, is presented to analytically obtain the approximate solution of the nonlocal nonlinear Schrödinger equation (NNLSE). The approximate analytical soliton solution of the NNLSE can be obtained, and the stability of the soliton can be analytically analysed in the simple way as well, all of which are consistent with the results published earlier. For the single light-envelope propagated in nonlocal nonlinear media modeled by the NNLSE, the Hamiltonian of the system can be constructed, which is the sum of the generalized kinetic energy and the generalized potential. The extreme point of the generalized potential corresponds to the soliton solution of the NNLSE. The soliton is stable when the generalized potential has the minimum, and unstable otherwise.

Paper Citation

in Harvard Style

Liang G., Guo Q. and Ren Z. (2016). Application of the Hamiltonian Formulation to Nonlinear Light-envelope Propagations.In Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS, ISBN 978-989-758-174-8, pages 251-258. DOI: 10.5220/0005737402510258

in Bibtex Style

@conference{photoptics16,
author={Guo Liang and Qi Guo and Zhanmei Ren},
title={Application of the Hamiltonian Formulation to Nonlinear Light-envelope Propagations},
booktitle={Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},
year={2016},
pages={251-258},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005737402510258},
isbn={978-989-758-174-8},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,
TI - Application of the Hamiltonian Formulation to Nonlinear Light-envelope Propagations
SN - 978-989-758-174-8
AU - Liang G.
AU - Guo Q.
AU - Ren Z.
PY - 2016
SP - 251
EP - 258
DO - 10.5220/0005737402510258