-
Abstract
Properties of cylindrical electron acoustic solitons are studied in vortex plasmas. The modified cylindrical Korteweg–de Vries (KdV) equation is acquired and converted into the time fractional cylindrical modified KdV equation by Agrawal's analysis. Via the Adomian decomposition method, a cylindrical soliton solution to the equation is obtained. The cylindrical time fractional effect on the wave properties is investigated. Further, the increase of the fractional order of time and hot to trapped electrons temperature are minimized in both solitary width and amplitude. These influences on the structures of the soliton may be an alternative to the use of higher order perturbation analysis. -
-
References
[1] Dubouloz N, Pottelette R, Malingre M and Treumann R A 1991 Geophys. Res. Lett. 18 155 doi: 10.1029/90GL02677[2] Singh S V and Lakhina G S 2001 Planet. Space Sci. 49 107 doi: 10.1016/S0032-06330000126-4[3] Elwakil S A, Zahran M A and El-Shewy E K 2007 Phys. Scr. 75 803 doi: 10.1088/0031-8949/75/6/010[4] Demiray H 2016 Phys. Plasmas 23 032109 doi: 10.1063/1.4943279[5] Devanandhan S, Singh S V, Lakhina G S and Bharuthram R 2012 Phys. Plasmas 19 082314 doi: 10.1063/1.4743015[6] Williams G, Verheest F, Hellberg M A, Anowar M G M and Kourakis I 2014 Phys. Plasmas 21 092103 doi: 10.1063/1.4894115[7] Abdelwahed H G 2015 Phys. Plasmas 22 092102 doi: 10.1063/1.4929793[8] Bernstein I B, Greene J M and Kruskal M D 1957 Phys. Rev. 108 546 doi: 10.1103/PhysRev.108.546[9] Lu Q M, Wang D Y and Wang S 2005 J. Geophys. Res. 110 A03223 doi: 10.1029/2004JA010739[10] Lu Q M, Lembege B, Tao J B and Wang S 2008 J. Geophys. Res. 113 A11219 doi: 10.1029/2008JA013693[11] Wu M Y, Wu H, Lu Q M and Xue B S 2010 Chin. Phys. Lett. 27 095201 doi: 10.1088/0256-307X/27/9/095201[12] El-Taibany W F and Moslem W M 2005 Phys. Plasmas 12 032307 doi: 10.1063/1.1857528[13] Lu, Q M, Wang S and Xiankang D 2005 Phys. Plasmas 12 072903 doi: 10.1063/1.1951367[14] Sabry R and Omran M A 2013 Astrophys. Space Sci. 344 455 doi: 10.1007/s10509-013-1356-y[15] Moslem W M, Abdelsalam U M, Sabry R, El-Shamy E F and El-Labany S K 2010 J. Plasma Phys. 76 453 doi: 10.1017/S0022377809990808[16] Mamun A A and Shukla P K 2009 Phys. Rev. E 80 037401 doi: 10.1103/PhysRevE.80.037401[17] Borhanian J and Shahmansouri M 2013 Phys. Plasmas 20 013707 doi: 10.1063/1.4789620[18] Mannan A and Mamun A A 2012 Astrophys. Space Sci. 340 109 doi: 10.1007/s10509-012-1046-1[19] Pakzad H R 2011 Phys. Plasmas 18 082105 doi: 10.1063/1.3622207[20] Shuchy S T, Mannan A and Mamun A A 2012 JETP Lett. 95 282 doi: 10.1134/S0021364012060094[21] Borhanian J and Shahmansouri M 2012 Astrophys. Space Sci. 342 401 doi: 10.1007/s10509-012-1137-z[22] Schamel H 1973 J. Plasma Phys. 9 377 doi: 10.1017/S002237780000756X[23] Mamun A A and Shukla P K 2002 J. Geophys. Res. 107 1135 doi: 10.1029/2001JA009131[24] Elwakil S A, El-Shewy E K and Zahran, M A 2004 Chaos Solitons Fractals 22 13 doi: 10.1016/j.chaos.2004.01.017[25] Sahu B and Roychoudhury R 2004 J. Plasma Phys. 11 1947 doi: 10.1063/1.1695558[26] Frederico G S F and Torres D F M 2008 Nonlinear Dyn. 53 215 doi: 10.1007/s11071-007-9309-z[27] Agrawal O P 2008 J. Math. Anal. Appl. 337 1 doi: 10.1016/j.jmaa.2007.03.105[28] Wang G W and Xu T Z 2014 Nonlinear Dyn. 76 571 doi: 10.1007/s11071-013-1150-y[29] El-Wakil S A, Abulwafa E M, El-Shewy E K and Mahmoud A A 2012 Plasma Phys. 78 641 doi: 10.1017/S0022377812000530[30] El-Wakil S A, Abulwafa E M, El-Shewy E K and Mahmoud A A 2012 Adv. Space Res. 49 1721 doi: 10.1016/j.asr.2012.02.018[31] El-Shewy E K, Mahmoud A A, Tawfik A M, Abulwafa E M and Elgarayhi A 2014 Chin. Phys. B 23 070505 doi: 10.1088/1674-1056/23/7/070505[32] El-Wakil S A, Abulwafa E M, El-Shewy E K and Mahmoud A A 2011 Chin. Phys. B 20 040508 doi: 10.1088/1674-1056/20/4/040508[33] Nazari-Golshan A, Nourazar S S, Parvin P and Ghafoori-Fard H 2014 Astrophys. Space Sci. 349 205 doi: 10.1007/s10509-013-1610-3[34] Guo, L M and Zhang Z 2015 Phys. Plasmas 22 052306 doi: 10.1063/1.4919264[35] Demiray H and Bay?nd?r C 2015 Phys. Plasmas 22 092105 doi: 10.1063/1.4929863[36] Agrawal O P 2007 J. Phys. A 40 6287 doi: 10.1088/1751-8113/40/24/003[37] Momian S and Odibat Z 2007 Chaos Solitons Fractals 31 5 1248 doi: 10.1016/j.chaos.2005.09.045[38] Ray S S and Bera R K 2005 Appl. Math. Comput. 167 561 doi: 10.12691/ajna-3-3-1[39] Miller S K and Ross B 1993 An Introduction to the Fractional Calculus and Fractional Differential Equation New York: John Wiley & Sons[40] El-Shewy E K 2005 Chaos Solitons Fractals 26 1073 doi: 10.1016/j.chaos.2005.01.060 -
Related Articles
[1] Rui-Peng Wang, Tao-Tao Yu, Muhammad Asif Shakoori, Ming-Jun Han, Yu-Xiao Hu, Ho-Kin Tang, Hai-Peng Li. Phonon Thermal Transport at Interfaces of Graphene/Quasi-Hexagonal Phase Fullerene Heterostructure [J]. Chin. Phys. Lett., 2025, 42(4): 046601. doi: 10.1088/0256-307X/42/4/046601 [2] CAO De-Zhong, XU Bao-Long, ZHANG Su-Heng, WANG Kai-Ge. Color Ghost Imaging with Pseudo-White-Thermal Light [J]. Chin. Phys. Lett., 2015, 32(11): 114208. doi: 10.1088/0256-307X/32/11/114208 [3] WANG Lai, ZHAO Wei, HAO Zhi-Biao, LUO Yi. Photocatalysis of InGaN Nanodots Responsive to Visible Light [J]. Chin. Phys. Lett., 2011, 28(5): 057301. doi: 10.1088/0256-307X/28/5/057301 [4] GUO Xiao-Bo, TAO Jun, LI Lei, WANG Shun-Jin. Light Flavor Vector and Pseudo Vector Mesons from a Light-Cone QCD Inspired Effective Hamiltonian Model with SU(3) Flavor Mixing Interactions [J]. Chin. Phys. Lett., 2010, 27(6): 061201. doi: 10.1088/0256-307X/27/6/061201 [5] JIANG Lai-Dong, DAI Qiao-Feng, FENG Tian-Hua, LIU Jin, WU Li-Jun, LAN Sheng, A. V. Gopal, V. A. Trofimov. In-Situ Characterization of Three-Dimensional Optical Matters by Light Diffraction [J]. Chin. Phys. Lett., 2009, 26(7): 074201. doi: 10.1088/0256-307X/26/7/074201 [6] SHEN Xia, BAI Yan-Feng, QIN Tao, HAN Shen-Sheng. Experimental Investigation of Quality of Lensless Ghost Imaging with Pseudo-Thermal Light [J]. Chin. Phys. Lett., 2008, 25(11): 3968-3971. [7] YANG Jian, QIU Tai, SHEN Chun-Ying. New BCN Fibres for Strong Ultraviolet and Visible Light Luminescence [J]. Chin. Phys. Lett., 2006, 23(9): 2573-2575. [8] TANG Lin, GU Chun, CHEN Bo, WANG Pei, MING Hai, XIE Jian-Ping. Analysis of Near-Field Diffraction Pattern of a Metallic Probe Tip with the Boundary Diffraction Wave Method [J]. Chin. Phys. Lett., 2005, 22(9): 2443-2446. [9] PU Ji-Xiong, CAI Chao, HU Xian-Dai, LIU Xiao-Yun. Spectral Anomalies in the Fraunhofer Diffraction Pattern [J]. Chin. Phys. Lett., 2005, 22(9): 2259-2261. [10] SHI Wanquan, HOU Qingrun, LIU Xuejun, LIU Shixiang, FU Zhengqing, LU Liwu, LI Yuanjing. Light Induced Rapid Thermal Diffusion of Boron Atom in Silicon [J]. Chin. Phys. Lett., 1992, 9(9): 475-478.
Impact Factor 2023: 3.5 | CiteScore 2023: 5.9 | Time to First Decision: 28 days
DownLoad: