Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

Abstract

In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve the exact solutions of the SEISLWs model. Also, the attained results show many different wave natures like hyperbolic function, exponential function, trigonometric function, rational function, periodic, anti-kink, dark, bright, singular soliton solutions in various conditions, that have been analyzed graphically.