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3+1 dimensional envelop waves and its stability in magnetized dusty plasma |
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| Institution: | 1. Department of Physics and OPTIMAS Research Center, University of Kaiserslautern, Germany;2. Department of Chemistry and OPTIMAS Research Center, University of Kaiserslautern, Germany;3. Department of Physics, Kennesaw State University, Kennesaw, GA 30144, United States;1. Graduate School of Engineering, Hiroshima University, Kagamiyama, Higashi-Hiroshima, 739-8527, Japan;2. Graduate School of Information Sciences, Tohoku University, Aoba, Sendai 980-8579, Japan;3. Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama 240-8501, Japan |
| Abstract: | It is well known that there are envelope solitary waves in unmagnetized dusty plasmas which are described by a nonlinear Schrodinger equation (NLSE). A three dimension nonlinear Schrodinger equation for small but finite amplitude dust acoustic waves is first obtained for magnetized dusty plasma in this paper. It suggest that in magnetized dusty plasmas the envelope solitary waves exist. The modulational instability for three dimensional NLSE is studied as well. The regions of stability and instability are well determined in this paper. |
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