K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

doi:10.1088/1674-1056/25/10/105202

中国物理B ›› 2016, Vol. 25 ›› Issue (10): 105202-105202.doi: 10.1088/1674-1056/25/10/105202

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

A N Dev, M K Deka, J Sarma, D Saikia, N C Adhikary

1 Department of Mathematics, Siksha ‘O' Anusandhan University, Khandagiri, Bhubaneswar-751030, Odisha, India;
2 Department of Applied Sciences, Institute of Science and Technology, Gauhati University, Guwahati 781014, Assam, India;
3 Department of Mathematics, R G Baruah College, Guwahati-781025, Assam, India;
4 Physical Sciences Division, Institute of Advanced Study in Science and Technology, Vigyan Path, Paschim Boragaon, Garchuk, Guwahati-781035, Assam, India

收稿日期:2016-01-23 修回日期:2016-06-08 出版日期:2016-10-05 发布日期:2016-10-05
通讯作者: N C Adhikary E-mail:nirab_iasst@yahoo.co.in

K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

A N Dev¹, M K Deka², J Sarma³, D Saikia⁴, N C Adhikary⁴

1 Department of Mathematics, Siksha ‘O' Anusandhan University, Khandagiri, Bhubaneswar-751030, Odisha, India;
2 Department of Applied Sciences, Institute of Science and Technology, Gauhati University, Guwahati 781014, Assam, India;
3 Department of Mathematics, R G Baruah College, Guwahati-781025, Assam, India;
4 Physical Sciences Division, Institute of Advanced Study in Science and Technology, Vigyan Path, Paschim Boragaon, Garchuk, Guwahati-781035, Assam, India

Received:2016-01-23 Revised:2016-06-08 Online:2016-10-05 Published:2016-10-05
Contact: N C Adhikary E-mail:nirab_iasst@yahoo.co.in

摘要/Abstract

摘要： The stationary solution is obtained for the K-P-Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev-Petviashvili (K-P) equation, three-dimensional (3D) Burgers equation, and K-P-Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave (DIASW). The K-P equation predictes the existences of stationary small amplitude solitary wave, whereas the K-P-Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma.

关键词: K-P-Burgers equation, negative ion, relativistic plasma, reductive perturbation method

Abstract: The stationary solution is obtained for the K-P-Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev-Petviashvili (K-P) equation, three-dimensional (3D) Burgers equation, and K-P-Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave (DIASW). The K-P equation predictes the existences of stationary small amplitude solitary wave, whereas the K-P-Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma.

Key words: K-P-Burgers equation, negative ion, relativistic plasma, reductive perturbation method

中图分类号: (Dusty or complex plasmas; plasma crystals)

52.27.Lw

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.)) 52.35.Tc (Shock waves and discontinuities)

A N Dev, M K Deka, J Sarma, D Saikia, N C Adhikary. K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity[J]. 中国物理B, 2016, 25(10): 105202-105202.

A N Dev, M K Deka, J Sarma, D Saikia, N C Adhikary. K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity[J]. Chin. Phys. B, 2016, 25(10): 105202-105202.

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K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

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