LAUSR

In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE) which is the generalization of KdV and describes the nonlinear waves in mixtures of gas–liquid in the absence of viscosity. We apply the Sardar-subequation method and the new extended hyperbolic function method to construct the exact solutions of KSE. Various novel computational solutions are demonstrated by two distinct types of sketches. These solutions reveal that current techniques are appropriate, fruitful and straightforward.