Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

doi:10.1088/1674-1056/24/3/035201

Abstract Modeling of instability and collision of nonlinear dust-acoustic (NDA) envelope solitons in strongly coupled dusty plasmas (SCDPs) is theoretically investigated. The SCDPs consists of strongly correlated negatively variable-charged dust grains and weakly correlated Boltzmann electrons and ions. Using the derivative expansion perturbation technique, a nonlinear Schrödinger-type (NLST) equation for describing the propagation of NDA envelope solitons is derived. Moreover, the extended Poincaré-Lighthill-Kuo (EPLK) method is employed to deduce the analytical phase shifts and the trajectories after the collision of NDA envelope solitons. In detail, the results show that both modulation instability and phase shift after collision of NDA envelope solitons will modify with the increase in the effects of the viscosity, the relaxation time, and the dust charge fluctuation. Crucially, the modeling of dust-acoustic envelope solitons collision, as reported here, is helpful for understanding the propagation of NDA envelope solitons in strongly coupled dusty plasmas.

Keywords: dust acoustic wave envelopes modulational instability head-on collision polarization effects

Received: 23 June 2014
Revised: 03 September 2014
Accepted manuscript online:

PACS:	52.27.Gr	(Strongly-coupled plasmas)
	52.27.Lw	(Dusty or complex plasmas; plasma crystals)
	52.25.Vy	(Impurities in plasmas)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))

Corresponding Authors: S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan
E-mail: skellabany@hotmail.com;emadel_shamy@hotmail.com;eltaibany@hotmail.com;nesreenplasma@yahoo.com

Cite this article:

S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision 2015 Chin. Phys. B 24 035201

[1]	Mendis D A and Rosenberg M 1994 Annu. Rev. Astron. Astrophys. 32 419
[2]	Goertz C K 1989 Rev. Geophys. 27 271
[3]	Shukla P K and Mamun A A 2002 Introduction to Dusty Plasma Physics (IOP, Bristol) and references therein
[4]	Nejoh Y N 1997 Phys. Plasmas 4 2813
[5]	Xie B S, He K F and Huang Z Q 1998 Phys. Lett. A 247 403
[6]	El-Taibany W F and Kourakis I 2006 Phys. Plasmas 13 062302
[7]	Ghosh S 2006 Phys. Plasmas 13 022301
[8]	Veeresha B M, Tiwari S K, Sen A, Kaw P K and Das A 2010 Phys. Rev. E 81 036407
[9]	Ikezi H 1986 Phys. Fluids 29 1764
[10]	Thomas H, Morfill G E, Demmel V, Goree J, Feuerbacher B and Mohlmann D 1994 Phys. Rev. Lett. 73 652
[11]	Frenkel Y 1946 Kinetic Theory of Liquids (Oxford: Clarendon Press)
[12]	Ohta H and Hamaguchi S 2000 Phys. Rev. Lett. 84 6026
[13]	Shukla P K and Mamun A A 2001 IEEE Trans. Plasma Sci. 29 221
[14]	Mamun A A, Eliasson B and Shukla P K 2004 Phys. Lett. A 332 412
[15]	Mamun A A, Shukla P K and Farid T 2000 Phys. Plasmas 7 2329
[16]	Mamun A A and Cairns R A 2009 Phys. Rev. E 79 055401
[17]	Mamun A A, Ashrafi K S and Shukla P K 2010 Phys. Rev. E 82 026405
[18]	Rahman M S and Mamun A A 2011 Phys. Plasmas 18 123702
[19]	Ghosh S, Gupta M R, Chakrabarti N and Chaudhuri M 2011 Phys. Rev. E 83 066406
[20]	Xie B S, Yu M Y, He K F, Chen Z Y and Liu S B 2002 Phys. Rev. E 65 027401
[21]	El-Labany S K, El-Taibany W F, El-Shamy E F, El-Depsy A and Zedan N A 2012 Phys. Plasmas 19 103708
[22]	Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240
[23]	Su C H and Mirie R M 1980 J. Fluid Mech. 98 509
[24]	Huang G X and Velarde M G 1996 Phys. Rev. E 53 2988
[25]	Li S C and Duana W S 2008 Eur. Phys. J. B 62 485
[26]	El-Shamy E F 2009 Phys. Plasmas 16 113704
[27]	EL-Labany S K, EL-Shamy E F and El-Mahgoub M G 2012 Phys. Plasmas 19 062105
[28]	Xue J K 2004 Phys. Rev. E 69 016403
[29]	Xue J K 2006 Chin. Phys. 15 562
[30]	Li S C, Wu L H, Lin M M and Duan W S 2007 Chin. Phys. 24 019401
[31]	El-Labany S K, El-Shamy E F and Shokry M 2010 Phys. Plasmas 17 113706
[32]	Ichimaru S, Iyetomi H and Tanaka S 1987 Phys. Rep. 149 91
[33]	El-Taibany W F, El-Bedwehy N A and El-Shamy E F 2011 Phys. Plasmas 18 033703
[34]	Taniuti T and Yajima N 1969 J. Math. Phys. 10 1369
[35]	Amin M R, Morfill G E and Shukla P K 1998 Phys. Rev. E 58 6517
[36]	Calogero F, Degasperis A and Xiaoda J 2000 J. Math. Phys. 41 6399
[37]	Gredeskul S A and Kivshar Yu S 1989 Phys. Rev. Lett. 62 977
[38]	Belmonte-Beitia J and Cuevas J 2011 J. Math. Phys. 52 032702
[39]	Huang G X and Velarde M G 1996 Phys. Rev. E 53 2988
[40]	Gardner C S, Greener J M, Kruskal M D and Miura R M 1967 Phys. Rev. Lett 19 1095
[41]	El-Shamy E F 2010 Eur. Phys. J. D 56 73
[42]	Bandyopadhyay P, Prasad G, Sen A and Kaw P K 2008 Phys. Rev. Lett. 101 065006

[1]	Modulational instability of a resonantly polariton condensate in discrete lattices Wei Qi(漆伟), Xiao-Gang Guo(郭晓刚), Liang-Wei Dong(董亮伟), and Xiao-Fei Zhang(张晓斐). Chin. Phys. B, 2023, 32(3): 030502.
[2]	Correction of intense laser-plasma interactions by QED vacuum polarization in collision of laser beams Wen-Bo Chen(陈文博) and Zhi-Gang Bu(步志刚). Chin. Phys. B, 2023, 32(2): 025204.
[3]	Propagation and modulational instability of Rossby waves in stratified fluids Xiao-Qian Yang(杨晓倩), En-Gui Fan(范恩贵), and Ning Zhang(张宁). Chin. Phys. B, 2022, 31(7): 070202.
[4]	Propagation dynamics of relativistic electromagnetic solitary wave as well as modulational instability in plasmas Rong-An Tang(唐荣安), Tiao-Fang Liu(刘调芳), Xue-Ren Hong(洪学仁), Ji-Ming Gao(高吉明), Rui-Jin Cheng(程瑞锦), You-Lian Zheng(郑有莲), and Ju-Kui Xue(薛具奎). Chin. Phys. B, 2021, 30(1): 015201.
[5]	Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion S A T Fonkoua, M S Ngounou, G R Deffo, F B Pelap, S B Yamgoue, A Fomethe. Chin. Phys. B, 2020, 29(3): 030501.
[6]	Gravity-capillary waves modulated by linear shear flow in arbitrary water depth Shaofeng Li(李少峰), Jinbao Song(宋金宝), and Anzhou Cao(曹安州). Chin. Phys. B, 2020, 29(12): 124702.
[7]	Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling Jiayu Xie(谢家玉), Zhihao Deng(邓志豪), Xia Chang(昌霞), Bing Tang(唐炳). Chin. Phys. B, 2019, 28(7): 077501.
[8]	Numerical simulation on modulational instability of ion-acoustic waves in plasma Yi-Rong Ma(马艺荣), Lie-Juan Li(李烈娟), Wen-Shan Duan(段文山). Chin. Phys. B, 2019, 28(2): 025201.
[9]	A nonlinear Schrödinger equation for gravity waves slowly modulated by linear shear flow Shaofeng Li(李少峰), Juan Chen(陈娟), Anzhou Cao(曹安州), Jinbao Song(宋金宝). Chin. Phys. B, 2019, 28(12): 124701.
[10]	Modulational instability, quantum breathers and two-breathers in a frustrated ferromagnetic spin lattice under an external magnetic field Wanhan Su(苏琬涵), Jiayu Xie(谢家玉), Tianle Wu(吴天乐), Bing Tang(唐炳). Chin. Phys. B, 2018, 27(9): 097501.
[11]	Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions Liu Tie-Lu (刘铁路), Wang Yun-Liang (王云良), Lu Yan-Zhen (路彦珍). Chin. Phys. B, 2015, 24(2): 025202.
[12]	Discrete energy transport in collagen molecules Alain Mvogo, Germain H. Ben-Bolie, Timoléon C. Kofané. Chin. Phys. B, 2014, 23(9): 098701.
[13]	Dynamical behaviour of transverse plasmons in pair plasmas Liu San-Qiu(刘三秋), Liu Yong(刘勇), and Li Xiao-Qing(李晓卿). Chin. Phys. B, 2011, 20(1): 015203.
[14]	Modulational instability for a self-attractive two-component Bose--Einstein condensate Li Sheng-Chang(栗生长) and Duan Wen-Shan(段文山). Chin. Phys. B, 2009, 18(10): 4177-4181.
[15]	Modulational instability of incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity Zhang Bing-Zhi(张冰志), Cui Hu(崔虎), and She Wei-Long (佘卫龙). Chin. Phys. B, 2009, 18(1): 209-214.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

Cite this article:

Online attention