Review of some modified generalized Korteweg - de Vries - Kuramoto-Sivashinsky equations (mgKdV-KS)

Abstract

This paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg-de Vries equation, the Kuramoto-Sivashinsky equation, the generalized Korteweg-de Vries-Kuramoto-Sivashinski equation and the non homogeneous boundary value problem for KdV-KS equation in quarter plane.