| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
Prev
Next
|
|
|
Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma |
| M S Alam1,3, M G Hafez1,3, M R Talukder2, M Hossain Ali1 |
1 Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh;
2 Plasma Science and Technology Lab, Department of Applied Physics and Electronic Engineering, University of Rajshahi, Rajshahi-6205, Bangladesh;
3 Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Bangladesh |
|
|
|
|
Abstract This work investigates the interactions among solitons and their consequences in the production of rogue waves in an unmagnetized plasmas composing non-relativistic as well as relativistic degenerate electrons and positrons, and inertial non-relativistic helium ions. The extended Poincaré-Lighthill-Kuo (PLK) method is employed to derive the two-sided Korteweg-de Vries (KdV) equations with their corresponding phase shifts. The nonlinear Schrödinger equation (NLSE) is obtained from the modified KdV (mKdV) equation, which allows one to study the properties of the rogue waves. It is found that the Fermi temperature and quantum mechanical effects become pronounced due to the quantum diffraction of electrons and positrons in the plasmas. The densities and temperatures of the helium ions, degenerate electrons and positrons, and quantum parameters strongly modify the electrostatic ion acoustic resonances and their corresponding phase shifts due to the interactions among solitons and produce rogue waves in the plasma.
|
Received: 25 March 2017
Revised: 18 June 2017
Accepted manuscript online:
|
|
PACS:
|
52.27.Ny
|
(Relativistic plasmas)
|
| |
52.35.Fp
|
(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
|
| |
52.35.Mw
|
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
|
| |
52.30.Jr
|
|
|
Corresponding Authors:
M S Alam, M G Hafez
E-mail: alam21nov_2016@yahoo.com;golamhafez@yahoo.com
|
Cite this article:
M S Alam, M G Hafez, M R Talukder, M Hossain Ali Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma 2017 Chin. Phys. B 26 095203
|
| [1] |
Shapiro S L and Teukolsky S A 1983 Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects (New York: John Wiley & Sons)
|
| [2] |
Garcia-Berro E, Torres S, Althaus L G, Renedo I, Lorn-Aguiltar P, Crsico A H, Rohrmann R D, Salaris M and Isern J 2010 Nature 465 194
|
| [3] |
Woolsey N C, Courtois C and Dendy R O 2004 Plasma Phys. Control. Fusion 46 B397
|
| [4] |
Mamun A A and Shukla P K 2010 Phys. Lett. A 374 4238
|
| [5] |
Murklund M and Shukla P K 2006 Rev. Mod. Phys. 78 591
|
| [6] |
Berezhiani V I, Tskhakaya D D and Shukla P K 1992 Phys. Rev. A 46 6608
|
| [7] |
Ata-ur-Rahman, Kerr M M, El-Taibany W F, Kourakis I and Qamar A 2015 Phys Plasmas 22 022305
|
| [8] |
Hasan M M, Hossen M A, Rafat A and Mamun A A 2016 Chin. Phys. B 25 105203
|
| [9] |
El-Bedwehy N and Moslem W M 2011 Astrophys. Space Sci. 335 435
|
| [10] |
Shatashvili N, Javakhishvili J and Kaya H 1997 Astrophys. Space Sci. 250 109
|
| [11] |
Opher M, Silva L O, Dauger D, Decyk V K and Dawson J M 2001 Phys. Plasmas 8 2454
|
| [12] |
Mamun A A, and Shukla P K 2010 Phys. Plasmas 17 104504
|
| [13] |
Popel S I, Vladimirov S V and Shukla P K 1995 Phys. Plasmas 2 716
|
| [14] |
El-Taibany W F and Tribeche M 2012 Phys. Plasmas 19 024507
|
| [15] |
Shahmansouri M and Tribeche M 2014 Astrophys. Space Sci. 349 781
|
| [16] |
Hossen M A and Mamun A A 2015 Phys. Plasmas 22 102710
|
| [17] |
Ata-ur-Rahman, Ali S, Mushtaq A and Qamar A 2013 J. Plasma Phys. 79 817
|
| [18] |
Haas F, Garcia L G, Goedert J and Manfredi G 2003 Phys. Plasmas 10 3858
|
| [19] |
Bhowmik C, Misra A P and Shukla P K 2007 Phys. Plasmas 14 12210
|
| [20] |
Hafez M G, Talukder M R and Ali M H 2016 Waves in Random and Complex Media 26 68
|
| [21] |
Hafez M G, Sakthivel R and Talukder M R 2015 Chinese J. Phys. 53 120901
|
| [22] |
Ruderman M S, Talipova T and Pelinovsky E 2008 J. Plasma Phys. 74 639
|
| [23] |
Rudermana M S 2010 Eur. Phys. J. Special Topics 185 57
|
| [24] |
Grimshaw R, Pelinovsky D, Pelinonsky E and Talipova T 2001 Physica D 159 35
|
| [25] |
El-Tantawy S A and Moslem W M 2014 Phys. Plasmas 21 052112
|
| [26] |
El-Tantawy S A, Wazwaz A M and Schlickeiser R 2015 Plasma Phys. Control. Fusion 57 125012
|
| [27] |
El-Tantawy S A, El- Awady E I and Tribeche M 2015 Phys. Plasmas 22 113705
|
| [28] |
El- Tantawy S A, El-Awady E I and Schlickeiser R 2015 Astrophys. Space Sci. 360 49
|
| [29] |
El-Tantawy S A 2016 Astrophys. Space Sci. 361 164
|
| [30] |
Mandal G, Roy K, Paul A, Saha A and Chatterjee P 2015 Z. Naturforsch. 70 703
|
| [31] |
Ghosh U N, Roy K and Chatterjee P 2011 Phys. Plasmas 18 103703
|
| [32] |
Parveen S, Mahmood S, Adnan M and Qamar A 2016 Phys. Plasmas 23 092122
|
| [33] |
Roy K, Ghorui M K, Chatterjee P and Tribeche M 2016 Commun. Theor. Phys. 65 237
|
| [34] |
Han J N, Li S C, Yang X X and Duan W S 2008 Eur. Phys. J. D 47 197
|
| [35] |
Han J N, Du S L and Duan W S 2008 Phys. Plasmas 15 112104
|
| [36] |
El-Labany S K, El-Shamy E F, Sabry R and Shokry M 2010 Astrophys. Space Sci. 325 201
|
| [37] |
Saha A and Chatterjee P 2014 Astrophys. Space Sci. 353 169
|
| [38] |
Xue J K 2004 Phys. Rev. E 69 016403
|
| [39] |
Sadiq S, Mahmood S, Haque Q and Ali M Z 2014 The Astrophysical J. 793 27
|
| [40] |
Chandrasekhar S 1935 Mon. Not. R. Astron. Soc. 170 405
|
| [41] |
Hossen M A and Mamun A A 2015 Phys. Plasmas 22 073505
|
| [42] |
Chatterjee P, Ghosh U N, Roy K, Muniandy S V, Wong C S and Sahu B 2010 Phys. Plasmas 17 122314
|
| [43] |
Hirota R 2004 The Direct Method in The Soliton Theory (Cambridge: Cambridge University Press)
|
| [44] |
Alam M S, Hafez M G, Talukder M R and Ali M H 2016 arXiv:1611.10225
|
| [45] |
Koester D and Chanmugam G 1990 Rep. Prog. Phys. 53 837
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
