A NEW MATHEMATICAL APPROACH FOR SHOCK-WAVE SOLUTION IN A DUSTY PLASMA

Citation
Gc. Das et al., A NEW MATHEMATICAL APPROACH FOR SHOCK-WAVE SOLUTION IN A DUSTY PLASMA, Physics of plasmas, 4(12), 1997, pp. 4236-4239
Citations number
21
Journal title
ISSN journal
1070664X
Volume
4
Issue
12
Year of publication
1997
Pages
4236 - 4239
Database
ISI
SICI code
1070-664X(1997)4:12<4236:ANMAFS>2.0.ZU;2-5
Abstract
The problem of nonlinear Burger equation in a plasma contaminated with heavy dust grains has been revisited. As discussed earlier [C. B. Dwi vedi and B. P. Pandey, Phys. Plasmas 2, 9 (1995)], the Burger equation originates due to dust charge fluctuation dynamics. A new alternate m athematical approach based on a simple traveling wave formalism has be en applied to find out the solution of the derived Burger equation, an d the method recovers the known shock-wave solution. This technique, a lthough having its own limitation, predicts successfully the salient f eatures of the weak shock-wave structure in a dusty plasma with dust c harge fluctuation dynamics. It is emphasized that this approach of the traveling wave formalism is being applied for the first time to solve the nonlinear wave equation in plasmas. (C) 1997 American Institute o f Physics.