ION ACOUSTIC WAVES IN MIDNIGHT MERIDIAN VENUS IONOSPHERE - - PowerPoint PPT Presentation

ION ACOUSTIC WAVES IN MIDNIGHT MERIDIAN VENUS IONOSPHERE

Supervisors

• Prof. Dr. Waleed Moslem Moslem

Dr . Reda Tolba

Presented by

Aya Elmandoh Elmandoh

Outline:

• Motivation
• Plasma model
• Basic equations
• Normalized system
• Evolution equations
• Mathematical solutions
• conclusions
• Reference

Motivation

In Venusian magneto sheath , Venus express has

• bserved the existence of large amplitude nonlinear

waves.

Plasma model

• magnetized plasma
• two positive ion ( O+ and H+) and electrons

at the Noon Midnight meridian in Venus

• the amplitudes are small below 200 km of altitude.

Basic equations:

• The basic fluids equations for the positive ion (O+) are:
• The basic fluids equations for the positive ion (H+) are

• and electrons have Maxwellian distribution
• The system of (1).(5) is closed by the Poisson equation
• The normalized plasma parameters are defined as

The normalized system of equations:

Evolution equation:

• we introduce the following stretched space-time variables
• The physical quantities appearing in (6-15)

and for uox, uoy; uhxand uhy

The charge-neutrality condition in the Venus plasma is

Mathematical solutions

we get the constants by the physical parameters in Venus

Shock-like soliton blowup

Conclusions:

• Nonlinear ion-acoustic waves in a magnetized, collision-less

electron ion plasma.

• The electrons are described by the Maxwellian distribution,

while the ions (O+ and H+) are described by the ideal hydrodynamic fluid equations.

• The evolution of the system is governed by the Z-K equation.
• Investigate numerically using an improved by new Generalized

(G0=G)-Expansion. Future work

Reference: