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The (3 + 1) dimensional nonlinear ion acoustic waves in multicomponent complex plasma with Kappa electron distribution are studied in this work. The Zakharov-Kuznetsov (ZK) equation for ion acoustic wave is investigated by the reductive perturbation method. The variation of nonlinear ion acoustic wave with system parameter is obtained. Meanwhile, the Sagdeev potential function is obtained by using the Sagdeev potential method. And the phase diagram in a two-dimensional autonomous system of the multicomponent complex plasma with Kappa electron distribution is studied. Finally, the important influence of system parameter on the phase diagram, the Sagdeev potential function and the propagating characteristics of (3 + 1) dimensional nonlinear acoustic solitary waves are discussed in detail.
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Keywords:
- multicomponent complex plasma /
- (3 + 1) dimensional nonlinear ion acoustic wave /
- reductive perturbation method
[1] Guio P, Pécseli H I 2020 Phys. Rev. E 101 043210
Google Scholar
[2] Saleem H, Shan S A 2021 CASS. 366 41
Google Scholar
[3] 惠小霞, 尤斌兴 2012 四川兵工学报 33 127
Google Scholar
Hui X X, You B X 2012 J. Sichuan Ordnance Engineering 33 127
Google Scholar
[4] Cheng X W, Zhang Z G, Yang H W 2020 Chin. Phys. B. 29 124501
Google Scholar
[5] Araghi F, Miraboutalebi S, Dorranian D 2020 Indian J. Phys. 94 547
Google Scholar
[6] Anguma1 S K, Habumugisha I, Nazziwa L, Jurua E, Noreen N 2017 J. Mod. Phys. 8 892
Google Scholar
[7] EI-Taibany W F, EI-Labany S K, Bebery E E, Abdelghany A M 2019 EUR Phys. J. Plus. 134 457
Google Scholar
[8] Moinuddin A S M, Alam M S, Talukder M R 2020 Contrib. Plasma Phys. 60 e201900124
Google Scholar
[9] Prasad P K, Saha A 2021 Adv. Space Res. 68 4155
Google Scholar
[10] Hameed G, Zakir U, Haque Q, Rehan M, Hadi F 2021 Chinese J. Phys. 71 466
Google Scholar
[11] Kocharovsky V V, Kocharovsky V V, Nechaev A A 2021 Dokl. Phys. 66 9
Google Scholar
[12] Eyelade A V, Stepanova M, Espinoza C M, Moya P S 2021 The Astrophys. J. Suppl. Ser. 253 34
Google Scholar
[13] Gravanis E, Akyias E, Livad, iotis G 2021 J. Stat. Mech. 2021 053201
Google Scholar
[14] Summers D, Thorne R M 1992 J. Geophys. 97 16827
Google Scholar
[15] Alam M S, Talukder M R 2020 Chin. Phys. B. 29 065202
Google Scholar
[16] Abbasi M M, Masood W, M Khan, Ahmad A 2020 Contrib. Plasma Phys. 60 e202000050
Google Scholar
[17] Guo S M, Mei L Q, Shi W J 2013 Mod. Phys. Lett. 337 2118
Google Scholar
[18] 林麦麦, 龚雪, 段文山, 杜海粟 2019 西北师范大学学报 (自然科学版) 55 44
Google Scholar
Lin M M, Gong X, Duan W S, Du H S 2019 J. Northwest Normal University (Natural Science) 55 44
Google Scholar
[19] Tolba R E, MoslemW M, El-Bedwehy N A, El-Labany S K 2015 Phys. Plasmas. 22 043707
Google Scholar
[20] 林麦麦, 文惠珊, 于腾萱, 宋秋影 2019 西北师范大学 (自然科学版) 55 33
Google Scholar
Lin M M, Wen H S, Yu T X, Song Q Y 2019 J. Northwest Normal University (Natural Science) 55 33
Google Scholar
[21] Wang L 2018 M. S. Thesis (Tianjin: Tianjin University) (in Chinese)
[22] Chen H 2014 Ph. D. Dissertation (Jiangxi: Nanchang University) (in Chinese)
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图 1 非线性系数A随Kappa分布电子数
$ \kappa $ 的变化规律Figure 1. Nonlinear coefficient A with respect to the Kappa distributed electron
$\kappa $ .
图 4 系统相图随
$ {\mu _{{\text{i}} - }} $ 的变化Figure 4. The variations of system phase diagram with
$ {\mu _{{\text{i}} - }} $ .
图 2 系统相图随Kappa电子分布数
$ \kappa $ 的变化Figure 2. The variations of system phase diagram with Kappa electron distribution number
$ \kappa $ .
图 3 系统相图随
$ {\mu _{{\text{i}} + }} $ 的变化Figure 3. The variations of system phase diagram with
$ {\mu _{{\text{i}} + }} $ .
图 5 系统相图随
$ {\mu _{\text{b}}} $ 的变化Figure 5. The variations of system phase diagram with
$ {\mu _{\text{b}}} $ .
图 6 Sagdeev势函数
$ V\left( {{\phi _1}} \right) $ 的变化规律Figure 6. The variations of Sagdeev potential function
$ V\left( {{\phi _1}} \right) $ .
图 7 孤波振幅
$ {\phi _{\text{m}}} $ 随Kappa分布电子数$ \kappa $ 的变化规律Figure 7. The amplitude of solitary waves
$ {\phi _{\text{m}}} $ with respect to the Kappa distributed electron number$ \kappa $ .
图 8 孤波宽度
$ \omega $ 随系统参数$ {\mu _{\text{b}}} $ 的变化规律Figure 8. The variations of the solitary wave’s width
$ \omega $ with respect to the parameter$ {\mu _{\text{b}}} $ .
图 9 孤立波
$ {\phi _1} $ 的波形变化规律Figure 9. Waveform variation law of the solitary waves
$ {\phi _1} $ .表 1 Sagdeev势
$ V\left( \phi \right) = 0 $ ,$ {\mu _{{\text{i}} + }} $ ,$ {\mu _{{\text{i}} - }} $ ,$ {\mu _{\text{b}}} $ ,$ \kappa $ 取不同值时, 对应振幅的大小Table 1. Amplitude of solitary waves with respect to
$ {\mu _{{\text{i}} + }} $ ,$ {\mu _{{\text{i}} - }} $ ,$ {\mu _{\text{b}}} $ ,$ \kappa $ at Sagdeev potential$ V\left( \phi \right) = 0 $ .$ {\mu _{{\text{i + }}}} $ 振幅 $ {\mu _{{\text{i}} - }} $ 振幅 $ {\mu _{\text{b}}} $ 振幅 $ \kappa $ 振幅 $ 0.4 $ $ 0.96 $ 0.10 $ 0.59 $ $ 0.3 $ $ 1.02 $ $ 2 $ $ 0.96 $ $ 0.6 $ 0.80 $ 0.15 $ $ 0.65 $ $ 0.5 $ $ 0.91 $ $ 4 $ $ 1.70 $ $ 0.9 $ $ 0.68 $ 0.20 $ 0.72 $ $ 0.9 $ $ 0.78 $ $ 6 $ $ 1.93 $ 
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[1] Guio P, Pécseli H I 2020 Phys. Rev. E 101 043210
Google Scholar
[2] Saleem H, Shan S A 2021 CASS. 366 41
Google Scholar
[3] 惠小霞, 尤斌兴 2012 四川兵工学报 33 127
Google Scholar
Hui X X, You B X 2012 J. Sichuan Ordnance Engineering 33 127
Google Scholar
[4] Cheng X W, Zhang Z G, Yang H W 2020 Chin. Phys. B. 29 124501
Google Scholar
[5] Araghi F, Miraboutalebi S, Dorranian D 2020 Indian J. Phys. 94 547
Google Scholar
[6] Anguma1 S K, Habumugisha I, Nazziwa L, Jurua E, Noreen N 2017 J. Mod. Phys. 8 892
Google Scholar
[7] EI-Taibany W F, EI-Labany S K, Bebery E E, Abdelghany A M 2019 EUR Phys. J. Plus. 134 457
Google Scholar
[8] Moinuddin A S M, Alam M S, Talukder M R 2020 Contrib. Plasma Phys. 60 e201900124
Google Scholar
[9] Prasad P K, Saha A 2021 Adv. Space Res. 68 4155
Google Scholar
[10] Hameed G, Zakir U, Haque Q, Rehan M, Hadi F 2021 Chinese J. Phys. 71 466
Google Scholar
[11] Kocharovsky V V, Kocharovsky V V, Nechaev A A 2021 Dokl. Phys. 66 9
Google Scholar
[12] Eyelade A V, Stepanova M, Espinoza C M, Moya P S 2021 The Astrophys. J. Suppl. Ser. 253 34
Google Scholar
[13] Gravanis E, Akyias E, Livad, iotis G 2021 J. Stat. Mech. 2021 053201
Google Scholar
[14] Summers D, Thorne R M 1992 J. Geophys. 97 16827
Google Scholar
[15] Alam M S, Talukder M R 2020 Chin. Phys. B. 29 065202
Google Scholar
[16] Abbasi M M, Masood W, M Khan, Ahmad A 2020 Contrib. Plasma Phys. 60 e202000050
Google Scholar
[17] Guo S M, Mei L Q, Shi W J 2013 Mod. Phys. Lett. 337 2118
Google Scholar
[18] 林麦麦, 龚雪, 段文山, 杜海粟 2019 西北师范大学学报 (自然科学版) 55 44
Google Scholar
Lin M M, Gong X, Duan W S, Du H S 2019 J. Northwest Normal University (Natural Science) 55 44
Google Scholar
[19] Tolba R E, MoslemW M, El-Bedwehy N A, El-Labany S K 2015 Phys. Plasmas. 22 043707
Google Scholar
[20] 林麦麦, 文惠珊, 于腾萱, 宋秋影 2019 西北师范大学 (自然科学版) 55 33
Google Scholar
Lin M M, Wen H S, Yu T X, Song Q Y 2019 J. Northwest Normal University (Natural Science) 55 33
Google Scholar
[21] Wang L 2018 M. S. Thesis (Tianjin: Tianjin University) (in Chinese)
[22] Chen H 2014 Ph. D. Dissertation (Jiangxi: Nanchang University) (in Chinese)
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