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Conservation laws for pure-cubic optical solitons with complex Ginzburg-Landau equation having several refractive index structures
Journal article   Open access  Peer reviewed

Conservation laws for pure-cubic optical solitons with complex Ginzburg-Landau equation having several refractive index structures

Anjan Biswas, Abdul H. Kara, Yunzhou Sun, Qin Zhou, Yakup Yildirim, Hashim M. Alshehri and Milivoj R. Belic
Results in physics, Vol.31, p.104901
01/12/2021
DOI: https://doi.org/10.1016/j.rinp.2021.104901

Abstract

Materials Science Materials Science, Multidisciplinary Physical Sciences Physics Physics, Multidisciplinary Science & Technology Technology
This paper derives the conserved densities for the perturbed complex Ginzburg-Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.
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https://doi.org/10.1016/j.rinp.2021.104901View
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