The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation

<p style='text-indent:20px;'>In this paper, we are concerned with the existence of solitary waves for a generalized Kawahara equation, which is model equation describing solitary-wave propagation in media. We obtain some qualitative properties equilibrium points and results wave solutions without delay perturbation by employing phase space analysis. Furthermore two types special convolution kernels proved combining geometric singular theory, invariant manifold theory Fredholm orthogonality. also discuss asymptotic behaviors traveling means theory. Finally, examples given to illustrate our results.</p>