Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line

Bedel Giscard Onana Essama; Salome Ndjakomo Essiane; Frederic Biya – Motto; Mohammed Shabat; Jacques Atangana

doi:doi:10.11648/j.ajop.20200803.12

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Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line

Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya – Motto, Mohammed Shabat, Jacques Atangana

Published in American Journal of Optics and Photonics (Volume 8, Issue 3)

Received: 9 August 2020 Accepted: 26 August 2020 Published: 23 November 2020

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Abstract

In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.

Published in	American Journal of Optics and Photonics (Volume 8, Issue 3)
DOI	10.11648/j.ajop.20200803.12
Page(s)	61-73
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

Triangular Rogue Waves, Chameleon Transmission Line, Multi - Wave Trains, Tree Structures, Collective Coordinates

References

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Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya – Motto, Mohammed Shabat, Jacques Atangana. (2020). Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. American Journal of Optics and Photonics, 8(3), 61-73. https://doi.org/10.11648/j.ajop.20200803.12

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Bedel Giscard Onana Essama; Salome Ndjakomo Essiane; Frederic Biya – Motto; Mohammed Shabat; Jacques Atangana. Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. Am. J. Opt. Photonics 2020, 8(3), 61-73. doi: 10.11648/j.ajop.20200803.12

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Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya – Motto, Mohammed Shabat, Jacques Atangana. Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. Am J Opt Photonics. 2020;8(3):61-73. doi: 10.11648/j.ajop.20200803.12

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@article{10.11648/j.ajop.20200803.12,
  author = {Bedel Giscard Onana Essama and Salome Ndjakomo Essiane and Frederic Biya – Motto and Mohammed Shabat and Jacques Atangana},
  title = {Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line},
  journal = {American Journal of Optics and Photonics},
  volume = {8},
  number = {3},
  pages = {61-73},
  doi = {10.11648/j.ajop.20200803.12},
  url = {https://doi.org/10.11648/j.ajop.20200803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20200803.12},
  abstract = {In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.},
 year = {2020}
}

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TY  - JOUR
T1  - Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line
AU  - Bedel Giscard Onana Essama
AU  - Salome Ndjakomo Essiane
AU  - Frederic Biya – Motto
AU  - Mohammed Shabat
AU  - Jacques Atangana
Y1  - 2020/11/23
PY  - 2020
N1  - https://doi.org/10.11648/j.ajop.20200803.12
DO  - 10.11648/j.ajop.20200803.12
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 61
EP  - 73
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20200803.12
AB  - In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.
VL  - 8
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Author Information

Bedel Giscard Onana Essama

Higher Technical Teachers Training College (HTTTC) of Ebolowa, University of Yaoundé I, Ebolowa, Cameroon
Salome Ndjakomo Essiane

Higher Technical Teachers Training College (HTTTC) of Ebolowa, University of Yaoundé I, Ebolowa, Cameroon
Frederic Biya – Motto

Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon
Mohammed Shabat

Department of Physics, Islamic University of Gaza, Gaza City, Palestine
Jacques Atangana

Higher Teacher Training College of Yaoundé, University of Yaoundé I, Yaoundé, Cameroon

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Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya – Motto, Mohammed Shabat, Jacques Atangana. (2020). Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. American Journal of Optics and Photonics, 8(3), 61-73. https://doi.org/10.11648/j.ajop.20200803.12

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ACS Style

Bedel Giscard Onana Essama; Salome Ndjakomo Essiane; Frederic Biya – Motto; Mohammed Shabat; Jacques Atangana. Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. Am. J. Opt. Photonics 2020, 8(3), 61-73. doi: 10.11648/j.ajop.20200803.12

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AMA Style

Bedel Giscard Onana Essama, Salome Ndjakomo Essiane, Frederic Biya – Motto, Mohammed Shabat, Jacques Atangana. Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line. Am J Opt Photonics. 2020;8(3):61-73. doi: 10.11648/j.ajop.20200803.12

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@article{10.11648/j.ajop.20200803.12,
  author = {Bedel Giscard Onana Essama and Salome Ndjakomo Essiane and Frederic Biya – Motto and Mohammed Shabat and Jacques Atangana},
  title = {Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line},
  journal = {American Journal of Optics and Photonics},
  volume = {8},
  number = {3},
  pages = {61-73},
  doi = {10.11648/j.ajop.20200803.12},
  url = {https://doi.org/10.11648/j.ajop.20200803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20200803.12},
  abstract = {In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.},
 year = {2020}
}

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TY  - JOUR
T1  - Triangular Rogue Waves and Multi- Wave Trains Generation in a Chameleon Electrical Transmission Line
AU  - Bedel Giscard Onana Essama
AU  - Salome Ndjakomo Essiane
AU  - Frederic Biya – Motto
AU  - Mohammed Shabat
AU  - Jacques Atangana
Y1  - 2020/11/23
PY  - 2020
N1  - https://doi.org/10.11648/j.ajop.20200803.12
DO  - 10.11648/j.ajop.20200803.12
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 61
EP  - 73
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20200803.12
AB  - In this work, we present a particular nonlinear transmission line called chameleon nonlinear transmission line. In fact, the chameleon’s behavior is related to the fact that without changing its appearance, the line can exhibit alternatively purely right - or left - handed behavior. This transmission line is different to the composite one. So, the goal of this work is to demonstrate that this special line can support the propagation of soliton light pulse subjected to quintic – phase modulation, improve the freak wave’s mechanism of generation and verify the chameleon’s behavior of the line. Consequently, we employ collective coordinate’s theory in order to give a great characterization of the light pulse. Then, we introduce an upgraded function called “type II Ansatz function” with eight collective coordinates compared to the conventional Gaussian Ansatz with six collective coordinates. We show that the two additional coordinates will allow us to improve the technique of measurement of internal excitation leading to the generation of rogue events. Moreover, these coordinates will give supplemental details on frequency shift and chirp distortions during the generation of specific rogue events such as “wall of waves”, tree structures, multi - wave trains, Kuznetsov - Ma breathers, Akhmediev breathers, Peregrine solitons and triangular rogue waves. The stability of the soliton light pulse will be also investigated at specific frequency ranges.
VL  - 8
IS  - 3
ER  -

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