The Cauchy Problem For Generalized Korteweg--de Vries-Burgers Equation

In this paper. we shall study the Cauchy problem for the generalized Korteweg- de Vnes-Burgers equation in the space L(O. T: IY) flC(O. T: H5)(O.s < 1). we get the existence and uniqueness of local solution for any arbitrary initial data in H. and the local solution is global if the initial data is sufficiently small for 0