Abstract
In the recent work, our purpose to study the dust acoustic solitary wave (DASWs) for mixed nonlinearity mKdV equation under dusty plasma. The constructed new results denote to dust acoustic solitary wave solutions for mixed nonlinearity mKdV equation under dusty plasma by proposed two analytical techniques. The determined solutions symbolize to antikink-kink, bright-dark solitons, and periodic solitary waves. The physical interpretation for determined solutions is represented by two-dim and three-dim graphically by symbolic computation to know the different phenomena for DASWs. The analysis for mixed nonlinearity modified models proved that suggested techniques are efficient ad powerful for analytical research other non-linear PDEs.
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