Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients
In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation. Based on the Darboux transformation method, soliton solution is const...
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doaj-887e6e02150745a6a86ce6b20d9cf6d22020-11-25T03:46:07ZengElsevierJournal of Ocean Engineering and Science2468-01332020-09-0153205213Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficientsAngelin Vithya0M.S. Mani Rajan1Department of Physics, Anna University, University College of Engineering, Ramanathapuram 623513, IndiaCorresponding author.; Department of Physics, Anna University, University College of Engineering, Ramanathapuram 623513, IndiaIn this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation. Based on the Darboux transformation method, soliton solution is constructed with modulated coefficients though Lax pair. We show that the coefficients of GVD and fifth order term are the main keys to control the amplitude, width and phase shift in the model. With the suitable choices of coefficients for the obtained soliton solution, some new types of soliton management through fifth order are presented for the first time. Especially, the influence of fifth order dispersion of the higher order NLS equations with and without modulated coefficients is discussed in detail. We will also highlight the impact of the studies on application in ocean engineering. Obtained results may be potentially useful in the soliton shaping and management in inhomogeneous fibers.http://www.sciencedirect.com/science/article/pii/S2468013319300725Fifth order dispersionAttosecond pulseSoliton controlSoliton managementInhomogeneous fiberOceanic waves |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Angelin Vithya M.S. Mani Rajan |
spellingShingle |
Angelin Vithya M.S. Mani Rajan Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients Journal of Ocean Engineering and Science Fifth order dispersion Attosecond pulse Soliton control Soliton management Inhomogeneous fiber Oceanic waves |
author_facet |
Angelin Vithya M.S. Mani Rajan |
author_sort |
Angelin Vithya |
title |
Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients |
title_short |
Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients |
title_full |
Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients |
title_fullStr |
Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients |
title_full_unstemmed |
Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients |
title_sort |
impact of fifth order dispersion on soliton solution for higher order nls equation with variable coefficients |
publisher |
Elsevier |
series |
Journal of Ocean Engineering and Science |
issn |
2468-0133 |
publishDate |
2020-09-01 |
description |
In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation. Based on the Darboux transformation method, soliton solution is constructed with modulated coefficients though Lax pair. We show that the coefficients of GVD and fifth order term are the main keys to control the amplitude, width and phase shift in the model. With the suitable choices of coefficients for the obtained soliton solution, some new types of soliton management through fifth order are presented for the first time. Especially, the influence of fifth order dispersion of the higher order NLS equations with and without modulated coefficients is discussed in detail. We will also highlight the impact of the studies on application in ocean engineering. Obtained results may be potentially useful in the soliton shaping and management in inhomogeneous fibers. |
topic |
Fifth order dispersion Attosecond pulse Soliton control Soliton management Inhomogeneous fiber Oceanic waves |
url |
http://www.sciencedirect.com/science/article/pii/S2468013319300725 |
work_keys_str_mv |
AT angelinvithya impactoffifthorderdispersiononsolitonsolutionforhigherordernlsequationwithvariablecoefficients AT msmanirajan impactoffifthorderdispersiononsolitonsolutionforhigherordernlsequationwithvariablecoefficients |
_version_ |
1724507767144710144 |