Journal
PHYSICA SCRIPTA
Volume 97, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1402-4896/ac4861
Keywords
magnetized dusty plasma; soliton; stability; modified Zakharov-Kuznetsov equation
Categories
Funding
- National Natural Science Foundation of P. R. China [12 065 022, 12 147 213, 11 565 021]
- Youth Science and Technology Innovation Project of Lanzhou Institute of Technology [18K-015]
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The dynamical behaviors and collision processes of line solitons in dusty plasma were studied in this paper. It was found from numerical simulations that unstable line solitons can evolve into completely localized solitons. The results also indicate the presence of both elastic and inelastic collisions between line solitons.
The dynamical behaviors of dusty plasma can be described by a (3+1)-dimensional modified Zakharov-Kuznetsov equation (mZKE) when the distribution of ions is vortex-like. The critical stable conditions for the line solitons are obtained by the linear stability analysis, which are also confirmed by the nonlinear dynamic evolution. An interesting phenomenon is found from the numerical results, maybe the first time, that the unstable line solitons of the mZKE will evolve into one or more completely localized soliton(s) after a long time evolution. Subsequently, we numerically studied the collision process of two line solitons. The results show that two stable line solitons can restore to their original states. However, if one of the two solitons or both of them are unstable, one or more completely localized solitons will appear during the collision. The results indicate that there are both elastic and inelastic collisions between line solitons.
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