Hamood Rehman - Department of Mathematics, University of Okara, Okara, Pakistan
Azka Habib - Department of Mathematics, University of Okara, Okara, Pakistan
Kashif Abro - NED University of Engineering and Technology, Karachi, Pakistan
Dr. Aziz Awan - Department of Mathematics, University of the Punjab, Lahore, Pakistan

The Zakharov equation is a nonlinear plasma fluid model, used for ion-acoustic waves in a magnetized plasma. In the present study, Langmuir waves of the dimensionless Zakharov equation are investigated by using the Sardar-subequation method. The obtained solutions lead to a variety of exact solutions in the form of dark, bright, periodic singular,  singular, and combined dark-bright type solutions. These acquired solutions are depicted graphically by the ۲D, contour and ۳D plots which show the physical behaviour of obtained solutions. All the graphs confirm the validity of the obtained solutions. These types of solutions have a large range of applications in mathematical and applied sciences.

Sardar-subequation method (SSM), Dimensionless Zakharov equation, Traveling wave solution