Conservation law and exact solutions for ion acoustic waves in a magnetized quantum plasma

Omar El-Kalaawy, Rafat Ibrahim, Lamyaa Sadek
2016 International Journal of Applied Mathematical Research  
The head on collision of ion- acoustic solitary waves (IASWs) in a magnetized plasma are considered. The two- sides Korteweg-de Vries (KdV) equations in generic case as well as the two- sides modified Korteweg-de Vries (mKdV) equations in a special case are obtained.The analytical phase shifts and the trajectories after the Head-on collisions of two IASWs in a three species quantum plasma are derived by using the extended version of Poincare-Lighthill-Kuo (PLK) method for both the situations.
more » ... e conservation laws for KdV and mKdV equations are obtained. By applying the extended direct algebraic method, we found the traveling wave solutions for the two-sides KdV and mKdV equations.
doi:10.14419/ijamr.v5i3.6042 fatcat:qhblpyzntjhbfafl4vxdvl5zqe