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 observed 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 u ox , u oy ; u hx and u hy 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 (G 0 =G)-Expansion. Future work

Reference: