Department of Physics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh.
Chaos. 2013 Mar;23(1):013147. doi: 10.1063/1.4794796.
A rigorous theoretical investigation has been performed on dust-acoustic (DA) solitary structures in an unmagnetized dusty plasma, consisting of negatively charged mobile dust grains, Boltzmann distributed electrons, and nonthermally distributed ions of two distinct temperatures. The Korteweg-de Vries (K-dV), modified K-dV (mK-dV) and Gardner equations, and their solitary waves (SWs) and double layer (DL) (in case of Gardner equation) solutions are derived by using the reductive perturbation technique. The basic features of the DA Gardner solitons (GSs) and DLs are studied analytically as well as numerically. It has been observed that the GSs significantly differ from K-dV and mK-dV solitons, and only positive potential DLs exist in the system. It is also studied that two-temperature nonthermal ions significantly modify the nature and basic properties of the DA SWs. The present investigation can be very effective for understanding and studying the nonlinear characteristics of the DA waves in laboratory and space dusty plasmas.
已对由带负电荷的可移动尘粒、玻尔兹曼分布的电子和具有两个不同温度的非热分布离子组成的非磁化尘粒等离子体中的尘埃声孤子结构进行了严格的理论研究。采用约化摄动技术推导出了 Korteweg-de Vries（K-dV）、修正 K-dV（mK-dV）和 Gardner 方程及其孤子波（SW）和双层（DL）（在 Gardner 方程的情况下）解。从理论和数值上分析了尘埃声 Gardner 孤子（GS）和 DL 的基本特征。已经观察到，GS 与 K-dV 和 mK-dV 孤子有很大的不同，并且系统中只存在正电势 DL。还研究了两温度非热离子显著改变了尘埃声 SW 的性质和基本特性。本研究对于理解和研究实验室和空间尘粒等离子体中尘埃声波的非线性特征非常有效。
