Effect of magnetic field on solitary waves in inhomogeneous dusty plasmas with two temperature ions

Abstract

Abstract:

The effect two temperature ions, the magnetic field, the inhomogeneity and the oblique propagation of waves on the amplitude and the width of the three dimensional dust acoustic solitary waves are studied numerically. By using the reductive perturbation theory, a modified variable coefficients Korteweg-de Vries (KdV) equation is derived. The approximate analytical solution of standard variable coefficients KdV equation derived from modified variable coefficients KdV equation is obtained. The results show that both compressive and rarefactive solitary waves exist. The amplitude of solitary waves is independent of the external magnetized field, but the width of solitary waves is dependent of the external magnetized field. Moreover, the phase velocity of waves is dependent of the oblique propagation of waves and inhomogeneity.

Key words: Dusty plasmas, Two ion temperature, Magnetic field, Inhomogeneity

摘要：

利用数值方法研究了双温离子、磁场、非均匀性和波的斜向传播对三维非线性尘埃声孤波振幅和宽度的影响。运用约化摄动法得到描述三维非线性尘埃声孤波的非标准变系数Korteweg-de Vries (KdV)方程。然后把非标准变系数KdV方程变为标准变系数KdV方程，并且得到了此标准变系数KdV方程的近似解析解。研究结果表明，此系统中存在着两种形式的孤波，即压缩型孤波和稀疏型孤波，外部磁场对三维非线性尘埃声孤波的宽度有影响，而对其振幅没有影响。此外，波的相速度与波的斜向传播和非均匀性有着非常紧密的联系。

关键词: 尘埃等离子体, 双温离子, 磁场, 非均匀性

CLC Number:

O534

MA Dong-lin1, ZHANG Xi-jun2. Effect of magnetic field on solitary waves in inhomogeneous dusty plasmas with two temperature ions[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2014, 34(2): 102-106.

马栋林1，张玺君2. 磁场对含有双温离子非均匀尘埃等离子体中三维孤波特性的影响[J]. 核聚变与等离子体物理, 2014, 34(2): 102-106.

References

[1]Nakamura Y. Experiments on ion-acoustic shock waves in a dusty plasma [J]. Phys. Plasmas, 2002, 9: 440.
[2]石志东, 李中元. 太阳系尘埃等离子体研究 [J]．天文学进展, 1998, 16: 227-236.
[3]石志东, 李中元. 太阳系中彗星和行星环尘埃等离子体研究 [J]．中国科学院上海天文台年刊, 2000, S1: 237-244.
[4]Yasmin S, Asaduzzaman M, Mamun A A. Dust ion- acoustic shock waves in nonextensive dusty plasma [J]. Astrophysics and Space Science, 2013, 343: 245-250.
[5]Boufendi L, Plain A, Blondeau J P, et al. Measurements of particle size kinetics from nanometer to micrometer scale in a low-pressure argon-silane radio-frequency discharge [J]. Appl. Phys. Lett., 1992, 60: 169.
[6]Rao N N, Shukla P K, Yu M Y. Dust-acoustic waves in dusty plasmas [J]. Planet. Space Sci., 1990, 38: 543-546.
[7]Samaryan A, Chemyshev A, Petrov O, et al. An analysis of oscillations in dust plasma structures [J]. J. Exp. Theor. Phys., 2001, 92: 454-461.
[8]陈银华，王舸，陆玮．低声尘埃等离子体中尘埃-动力学阿尔文孤立波 [J]．核聚变与等离子体物理, 2000，20: 141-146.
[9]Mowafy A E, El-Shewy E K, Moslem W M, et al. Effect of dust charge fluctuation on the propagation of dust-ion acoustic waves in inhomogeneous mesospheric dusty plasma [J]. Phys. Plasmas, 2008, 15: 073708.
[10]El-Bendary A A, El-Taibany W F, El-Taibany Kh H. Cherenkov radiation waves in inhomogeneous dusty plasma [J]. Physics of Wave Phenomena, 2013, 21: 226-230.
[11]Zhang L P, Xue J K. Multidimensional nonlinear dust acoustic shock waves in nonuniform magnetized dusty plasmas with nonadiabatic dust charge fluctuation [J]. Phys. Plasmas, 2008, 15: 053706.
[12]Bagchi S, Misra A P, Roy Chowdhury K, et al. Nonlinear oscillations in a magnetized dusty plasma with two-temperature trapped ions [J]. Chaos, Solitons and Fractals, 2009, 40: 758-765.
[13]Xie B S, He K F, Huang Z Q. Dust-acoustic solitary waves and double layers in dusty plasma with variable dust charge and two-temperature ions [J]. Phys. Plasmas, 1999, 6: 3808.
[14]Landau L D, Lifshitz E M. Course of theoretical physics [M]. NewYork: Butterworth Heinemann, 1974.
[15]Taniuti T, Yajima N. Perturbation method for a nonlinear wave modulation [J]. J. Math. Phys., 1969, 10: 1369.
[16]Asano N, Ono H J. Nonlinear dispersive or dissipative waves in inhomogeneous media [J]. Phys. Soc. Jpn., 1971, 31: 1830-1836.
[17]Wadati M. The exact solution of the modified Korteweg-de Vries equation [J]. Phys. Soc. Jpn., 1972, 32: 1681-1861.
[18]Gill T T, Saini N S, Kaur H. The Kadomstev-Petviashvili equation in dusty plasma with variable dust charge and two temperature ions [J]. Chaos, Solitons and Fractals 2006, 28: 1106-1111.