Kadomtsev-Petviashvili (KP) Burgers Equation in Dusty Negative Ion Plasmas: Evolution of Dust-Ion Acoustic Shocks

被引：16

作者：

Dev, A. N. ^{[1
]}

Sarma, J. ^{[2
]}

Deka, M. K. ^{[3
]}

Misra, A. P. ^{[4
]}

Adhikary, N. C. ^{[5
]}

机构：

[1] RUB, Coll Sci & Technol, Dept Sci & Humanities, Thimphu, Bhutan

[2] RG Baruah Coll, Dept Math, Gauhati 781025, Assam, India

[3] Ctr Plasma Phys, Kamrup, Assam, India

[4] Visva Bharati Univ, Dept Math, Siksha Bhavana, Santini Ketan 731235, W Bengal, India

[5] Inst Adv Study Sci & Technol, Div Phys Sci, Gauhati 781035, Assam, India

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 62卷 / 06期

关键词：

dusty plasmas; Shock wave; reductive perturbation technique; K-P burgers equation; CHARGE FLUCTUATION; WAVES; PROPAGATION; GRAINS;

D O I：

10.1088/0253-6102/62/6/16

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonlinear propagation of dust-ion acoustic (DIA) shock waves in an un-magnetized dusty plasma which consists of electrons, both positive and negative ions and negatively charged immobile dust grains. Starting from a set of hydrodynamic equations with the ion thermal pressures and ion kinematic viscosities included, and using a standard reductive perturbation method, the Kadomtsev-Petviashivili-Burgers (K-P-Burgers) equation is derived, which governs the evolution of DIA shocks. A stationary solution of the K-P-Burgers equation is obtained and its properties are analysed with different plasma number densities, ion temperatures and masses. It is shown that a transition from shocks with negative potential to positive one occurs depending on the negative ion concentration in the plasma and the obliqueness of propagation of DIA waves.

引用

页码：875 / 880

页数：6

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