1. School of Physics and Electronic Information, Shangrao Normal University, Shangrao 334001, China; 2. Department of Physics, Nanchang University, Nanchang 330031, China; 3. College of Electron and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, China; 4. Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China
Abstract In order to study the characteristics of dust acoustic waves in a uniform dense dusty magnetoplasma system, a nonlinear dynamical equation is deduced using the quantum hydrodynamic model to account for dust-neutral collisions. The linear dispersion relation indicates that the scale lengths of the system are revised by the quantum parameter, and that the wave motion decays gradually leading the system to a stable state eventually. The variations of the dispersion frequency with the dust concentration, collision frequency, and magnetic field strength are discussed. For the coherent nonlinear dust acoustic waves, new analytic solutions are obtained, and it is found that big shock waves and wide explosive waves may be easily produced in the background of high dusty density, strong magnetic field, and weak collision. The relevance of the obtained results is referred to dense dusty astrophysical circumstances.
(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11365017, 11465015, 11305031, 11405110, and 11275123) and the Technology Landing Project of the Education Department of Jiangxi Province of China (Grant No. KJLD13086).
Corresponding Authors:
Jian-Rong Yang
E-mail: sryangjr@163.com
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