Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations

Bertrand Noel Tagne Wafo; François Marie Moukam Kakmeni

doi:doi:10.11648/j.ajmp.20211001.13

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Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations

Bertrand Noel Tagne Wafo, François Marie Moukam Kakmeni

Published in American Journal of Modern Physics (Volume 10, Issue 1)

Received: 26 November 2020 Accepted: 16 January 2021 Published: 17 March 2021

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Abstract

The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to ﬁnd multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly inﬂuence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric conﬁguration consistent with relevant experimental observations in existing experiments.

Published in	American Journal of Modern Physics (Volume 10, Issue 1)
DOI	10.11648/j.ajmp.20211001.13
Page(s)	16-25
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), 2024. Published by Science Publishing Group

Keywords

CKP Equation, Periodic Soliton Trains, Stability, Internal Modes, Propagation Modes

References

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APA Style

Bertrand Noel Tagne Wafo, François Marie Moukam Kakmeni. (2021). Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. American Journal of Modern Physics, 10(1), 16-25. https://doi.org/10.11648/j.ajmp.20211001.13

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ACS Style

Bertrand Noel Tagne Wafo; François Marie Moukam Kakmeni. Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. Am. J. Mod. Phys. 2021, 10(1), 16-25. doi: 10.11648/j.ajmp.20211001.13

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AMA Style

Bertrand Noel Tagne Wafo, François Marie Moukam Kakmeni. Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. Am J Mod Phys. 2021;10(1):16-25. doi: 10.11648/j.ajmp.20211001.13

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@article{10.11648/j.ajmp.20211001.13,
  author = {Bertrand Noel Tagne Wafo and François Marie Moukam Kakmeni},
  title = {Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {1},
  pages = {16-25},
  doi = {10.11648/j.ajmp.20211001.13},
  url = {https://doi.org/10.11648/j.ajmp.20211001.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211001.13},
  abstract = {The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to ﬁnd multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly inﬂuence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric conﬁguration consistent with relevant experimental observations in existing experiments.},
 year = {2021}
}

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TY  - JOUR
T1  - Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations
AU  - Bertrand Noel Tagne Wafo
AU  - François Marie Moukam Kakmeni
Y1  - 2021/03/17
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211001.13
DO  - 10.11648/j.ajmp.20211001.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 16
EP  - 25
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211001.13
AB  - The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to ﬁnd multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly inﬂuence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric conﬁguration consistent with relevant experimental observations in existing experiments.
VL  - 10
IS  - 1
ER  -

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Author Information

Bertrand Noel Tagne Wafo

Complex Systems and Theoretical Biology Group, Laboratory of Research on Advanced Materials and Non-linear Science (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, Buea, Cameroon
François Marie Moukam Kakmeni

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APA Style

Bertrand Noel Tagne Wafo, François Marie Moukam Kakmeni. (2021). Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. American Journal of Modern Physics, 10(1), 16-25. https://doi.org/10.11648/j.ajmp.20211001.13

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ACS Style

Bertrand Noel Tagne Wafo; François Marie Moukam Kakmeni. Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. Am. J. Mod. Phys. 2021, 10(1), 16-25. doi: 10.11648/j.ajmp.20211001.13

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AMA Style

Bertrand Noel Tagne Wafo, François Marie Moukam Kakmeni. Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations. Am J Mod Phys. 2021;10(1):16-25. doi: 10.11648/j.ajmp.20211001.13

Copy | Download

@article{10.11648/j.ajmp.20211001.13,
  author = {Bertrand Noel Tagne Wafo and François Marie Moukam Kakmeni},
  title = {Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {1},
  pages = {16-25},
  doi = {10.11648/j.ajmp.20211001.13},
  url = {https://doi.org/10.11648/j.ajmp.20211001.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211001.13},
  abstract = {The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to ﬁnd multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly inﬂuence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric conﬁguration consistent with relevant experimental observations in existing experiments.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations
AU  - Bertrand Noel Tagne Wafo
AU  - François Marie Moukam Kakmeni
Y1  - 2021/03/17
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211001.13
DO  - 10.11648/j.ajmp.20211001.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 16
EP  - 25
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211001.13
AB  - The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to ﬁnd multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly inﬂuence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric conﬁguration consistent with relevant experimental observations in existing experiments.
VL  - 10
IS  - 1
ER  -

Copy | Download