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Nonlinear acoustic waves in a collisional self-gravitating dusty plasma
Authors:Guo Zhi-Rong  Yang Zeng-Qiang  Yin Bao-Xiang and Sun Mao-Zhu
Institution:Key Laboratory of Ecophysics and Department of Physics, Teachers College, Shihezi University, Shihezi 832003, China;Key Laboratory of Ecophysics and Department of Physics, Teachers College, Shihezi University, Shihezi 832003, China;Key Laboratory of Ecophysics and Department of Physics, Teachers College, Shihezi University, Shihezi 832003, China;Key Laboratory of Ecophysics and Department of Physics, Teachers College, Shihezi University, Shihezi 832003, China
Abstract:Using the reductive perturbation method, we investigate the small amplitude nonlinear acoustic wave in a collisional self-gravitating dusty plasma. The result shows that the small amplitude dust acoustic wave can be expressed by a modified Korteweg-de Vries equation, and the nonlinear wave is instable because of the collisions between the neutral gas molecules and the charged particles.
Keywords:nonlinear acoustic waves  collisional self-gravitating dusty plasma  modified Korteweg-de Vries equation  instability
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