Modulational instability of dust-lattice waves in a plasma crystal

被引:13
作者
Amin, MR [1 ]
Morfill, GE
Shukla, PK
机构
[1] Max Planck Inst Extraterr Phys, D-85740 Garching, Germany
[2] Jahangirnagar Univ, Dept Phys, Dhaka 1342, Bangladesh
[3] Ruhr Univ Bochum, Fak Phys & Astron, Inst Theoret Phys 4, D-44780 Bochum, Germany
来源
PHYSICA SCRIPTA | 1998年 / 58卷 / 06期
关键词
D O I
10.1088/0031-8949/58/6/015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A nonlinear Schrodinger equation for the propagation of a dust-lattice wave in a one-dimensional chain of a plasma crystal is derived by using the Krylov-Bogoliubov-Mitropolsky (KBM) perturbation technique. The resulting equation is then analyzed to obtain a nonlinear dispersion relation for the wave envelope. It has been found that the dust-lattice wave is modulationally unstable for long wavelength perturbations and the modulationally unstable wave propagates as an envelope soliton. The importance of this investigation in present-day laboratory experiments for dust-plasma crystallization is pointed out.
引用
收藏
页码:628 / 631
页数:4
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