Influence of ionization on reflection of solitary waves in a magnetized plasma

The reflection of nonlinear solitary waves is studied in a nonuniform, magnetized plasma diffusing from an ionization source along the magnetic field lines. Contribution of the ionization term is included in the continuity equation. The behavior of solitary waves is governed by modified form of Kort...

Full description

Saved in:
Bibliographic Details
Published in:Physics of plasmas 2013-09, Vol.20 (9)
Main Authors: Jyoti, Kumar, Ravinder, Malik, Hitendra K., Dahiya, Raj P.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Continuity equation
CONTINUITY EQUATIONS
INHOMOGENEOUS PLASMA
ION ACOUSTIC WAVES
IONIZATION
KORTEWEG-DE VRIES EQUATION
MAGNETIC FIELDS
NONLINEAR PROBLEMS
Plasma physics
Reflectance
REFLECTION
Solitary waves
SOLITONS
TRANSFORMATIONS
Wave reflection
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The reflection of nonlinear solitary waves is studied in a nonuniform, magnetized plasma diffusing from an ionization source along the magnetic field lines. Contribution of the ionization term is included in the continuity equation. The behavior of solitary waves is governed by modified form of Korteweg–de Vries equation (called mKdV equation). In order to investigate the reflection of solitary waves, the mKdV equations for the right and left going waves are derived, and solved by finding new transformations coupled at the point of reflection, for obtaining the expression of reflection coefficient. Contrary to the case of usual inhomogeneous plasma, the present analysis shows that a combination of usual sech 2 structure and tanh structure (called the tail of soliton) arises due to the influence of ionization term. Interestingly, this tailing structure disappears after the reflection of the soliton and hence, the soliton is downshifted prominently.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4820779