Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift
Using the generalized nonlinear Schrödinger equation, we investigate how the effect of self-steepening and Raman-induced self-frequency shift impact higher-order rogue-wave solutions. We observe that each effect breaks apart the higher-order rogue wave, reducing it to its constituent fundamental par...
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sg-ntu-dr.10356-1698682023-08-11T15:39:16Z Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift Chowdury, Amdad Chang, Wonkeun Battiato, Marco School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Engineering::Electrical and electronic engineering Science::Physics Raman Self-Frequency Shift Rogue Waves Using the generalized nonlinear Schrödinger equation, we investigate how the effect of self-steepening and Raman-induced self-frequency shift impact higher-order rogue-wave solutions. We observe that each effect breaks apart the higher-order rogue wave, reducing it to its constituent fundamental parts, in a similar manner to how a higher-order soliton undergoes fission. Applying a local inverse-scattering technique, we show that under the effect of self-frequency shift, the emergence of a rogue wave significantly influences the surrounding wave background, triggering solitons, breathers, and new rogue waves. We demonstrate that under the combined effect of third-order dispersion, self-steepening, and Raman-induced self-frequency shift, the disintegrated elements of higher-order rogue waves become fundamental solitons, creating an asymmetrical spectral profile that generates both red- and blue-shifted frequency components. We also show the intermediary processes of the fission steps prior to soliton transformation which can only be observed in the presence of weak perturbations. These observations reveal the mechanisms that create a large number of solitons in the process of modulation instability-induced supercontinuum generation from a continuous-wave background in optical fibers. Ministry of Education (MOE) Nanyang Technological University Published version A.C. and M.B. acknowledge Nanyang Technological University, NAP-SUG grant. W.C. acknowledges funding support from the Ministry of Education–Singapore, AcRF Tier 1 RG135/20. 2023-08-08T07:59:06Z 2023-08-08T07:59:06Z 2023 Journal Article Chowdury, A., Chang, W. & Battiato, M. (2023). Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift. Physical Review A, 107(5), 053507-1-053507-10. https://dx.doi.org/10.1103/PhysRevA.107.053507 2469-9926 https://hdl.handle.net/10356/169868 10.1103/PhysRevA.107.053507 2-s2.0-85159079760 5 107 053507-1 053507-10 en AcRF Tier 1 RG135/20 NAP-SUG Physical Review A © 2023 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society. application/pdf |
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Engineering::Electrical and electronic engineering Science::Physics Raman Self-Frequency Shift Rogue Waves Chowdury, Amdad Chang, Wonkeun Battiato, Marco Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
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Using the generalized nonlinear Schrödinger equation, we investigate how the effect of self-steepening and Raman-induced self-frequency shift impact higher-order rogue-wave solutions. We observe that each effect breaks apart the higher-order rogue wave, reducing it to its constituent fundamental parts, in a similar manner to how a higher-order soliton undergoes fission. Applying a local inverse-scattering technique, we show that under the effect of self-frequency shift, the emergence of a rogue wave significantly influences the surrounding wave background, triggering solitons, breathers, and new rogue waves. We demonstrate that under the combined effect of third-order dispersion, self-steepening, and Raman-induced self-frequency shift, the disintegrated elements of higher-order rogue waves become fundamental solitons, creating an asymmetrical spectral profile that generates both red- and blue-shifted frequency components. We also show the intermediary processes of the fission steps prior to soliton transformation which can only be observed in the presence of weak perturbations. These observations reveal the mechanisms that create a large number of solitons in the process of modulation instability-induced supercontinuum generation from a continuous-wave background in optical fibers. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Chowdury, Amdad Chang, Wonkeun Battiato, Marco |
format |
Article |
author |
Chowdury, Amdad Chang, Wonkeun Battiato, Marco |
author_sort |
Chowdury, Amdad |
title |
Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
title_short |
Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
title_full |
Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
title_fullStr |
Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
title_full_unstemmed |
Higher-order rogue-wave fission in the presence of self-steepening and Raman self-frequency shift |
title_sort |
higher-order rogue-wave fission in the presence of self-steepening and raman self-frequency shift |
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2023 |
url |
https://hdl.handle.net/10356/169868 |
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1779156349492396032 |