Abstract:
This study to nd the solution for nonlinear dynamic equations by
Expansion method and depending on the nonlinear evolution of the
kink instability of a plasma with an elliptic magnetic stagnation line.
Hence we applied the Expansion method which used to solve dynamic
equation. Expansion method is the easiest method and applicable
one to solve Nonlinear Dynamic Partial Di erential Equations. A
cylindrically symmetric plasma with circular eld lines is used to
model the magnetic eld geometry close to the stagnation line. An
example for the second order is given to illustrate the general case by
using to potential energy representation equation. Some considerations
concerning solar laments and lament bands (circular or straight)
are indicated as possible besides graphical representation with cusp
geometry corresponding to the stagnation line
