Complex Korteweg-de Vries equation and nonlinear dust-acoustic waves in a magnetoplasma with a pair of trapped ions

被引：17

作者：

Misra, A. P. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 256卷

关键词：

Solitary wave; Magnetized plasma; Complex KdV equation; Trapped ion; SOLITARY WAVES; PLASMA;

D O I：

10.1016/j.amc.2015.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear propagation of dust-acoustic (DA) waves in a magnetized dusty plasma with a pair of trapped ions is investigated. Starting from a set of hydrodynamic equations for dust fluids as well as kinetic Vlasov equations for ions, and applying the reductive perturbation technique, a Korteweg-de Vries (KdV)-like equation with a complex coefficient of nonlinearity is derived, which governs the evolution of small-amplitude DA waves in plasmas. The complex coefficient arises due to vortex-like distributions of both positive and negative ions. An analytical as well as numerical solution of the KdV equation are obtained and analyzed with the effects of external magnetic field, the dust pressure as well as different mass and temperatures of ions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：368 / 374

页数：7

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