Modulation instability in higher-order nonlinear Schrödinger equations
We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in de...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/157565 |
| _version_ | 1811692512471941120 |
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| author | Chowdury, Amdad Ankiewicz, Adrian Akhmediev, Nail Chang, Wonkeun |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Chowdury, Amdad Ankiewicz, Adrian Akhmediev, Nail Chang, Wonkeun |
| author_sort | Chowdury, Amdad |
| collection | NTU |
| description | We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in detail. The higher-order equations have free parameters that can be used to control the growth-decay cycle of the MI; that is, the growth rate curves, the time of evolution, the maximal amplitude, and the spectral content of the Akhmediev Breather strongly depend on these coefficients. |
| first_indexed | 2024-10-01T06:36:58Z |
| format | Journal Article |
| id | ntu-10356/157565 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:36:58Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1575652022-05-12T07:10:24Z Modulation instability in higher-order nonlinear Schrödinger equations Chowdury, Amdad Ankiewicz, Adrian Akhmediev, Nail Chang, Wonkeun School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Modulation Instability Schrödinger Equation We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in detail. The higher-order equations have free parameters that can be used to control the growth-decay cycle of the MI; that is, the growth rate curves, the time of evolution, the maximal amplitude, and the spectral content of the Akhmediev Breather strongly depend on these coefficients. Published version N.A. and A.A. acknowledge the support of the Australian Research Council (Discovery Project Nos. DP140100265 and DP150102057). 2022-05-11T02:13:43Z 2022-05-11T02:13:43Z 2018 Journal Article Chowdury, A., Ankiewicz, A., Akhmediev, N. & Chang, W. (2018). Modulation instability in higher-order nonlinear Schrödinger equations. Chaos, 28(12), 123116-. https://dx.doi.org/10.1063/1.5053941 1054-1500 https://hdl.handle.net/10356/157565 10.1063/1.5053941 28 2-s2.0-85058789184 12 28 123116 en Chaos © 2018 Author(s). All rights reserved. This paper was published by AIP Publishing in Chaos and is made available with permission of The Author(s). application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Modulation Instability Schrödinger Equation Chowdury, Amdad Ankiewicz, Adrian Akhmediev, Nail Chang, Wonkeun Modulation instability in higher-order nonlinear Schrödinger equations |
| title | Modulation instability in higher-order nonlinear Schrödinger equations |
| title_full | Modulation instability in higher-order nonlinear Schrödinger equations |
| title_fullStr | Modulation instability in higher-order nonlinear Schrödinger equations |
| title_full_unstemmed | Modulation instability in higher-order nonlinear Schrödinger equations |
| title_short | Modulation instability in higher-order nonlinear Schrödinger equations |
| title_sort | modulation instability in higher order nonlinear schrodinger equations |
| topic | Engineering::Electrical and electronic engineering Modulation Instability Schrödinger Equation |
| url | https://hdl.handle.net/10356/157565 |
| work_keys_str_mv | AT chowduryamdad modulationinstabilityinhigherordernonlinearschrodingerequations AT ankiewiczadrian modulationinstabilityinhigherordernonlinearschrodingerequations AT akhmedievnail modulationinstabilityinhigherordernonlinearschrodingerequations AT changwonkeun modulationinstabilityinhigherordernonlinearschrodingerequations |