TITLE:
Ion Acoustic Soliton and the Lambert Function
AUTHORS:
Behrooz Maleko lkalami, Taimur Mohammadi, Khabat Ghamari
KEYWORDS:
Solitary and Shock Wave, Ion Acoustic Wave
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.11,
July
27,
2016
ABSTRACT: The Sagdeev potential method is employed to compute the width of (Ion-acoustic) soliton propagated in a cold plasma. The computation indicates that the soliton width is a continuous function (of the Mach number M), which is expressed in terms of the Lambert Function. Despite the (fairly) complex form of the function, the numerical plotting makes sense about its changes.