Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma

This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used analyze cold collision-free magnet-acoustic waves shock wave formation respectively. The decomposition method is solve proposed equations. Also, convergence uniqueness of obtained solution discussed. To illuminate effectiveness presented method, solutions these compared with exact solution. Furthermore, for different values order represented graphically.