Travelling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations

摘要

Travelling-wave solutions of the standard and compound form of Korteweg-deVries-Burgers equations are found using factorizations of the correspondingreduced ordinary differential equations. The procedure leads to solutions ofBernoulli equations of nonlinearity 3/2 and 2 (Riccati), respectively.Introducing the initial conditions through an imaginary phase in the travellingcoordinate, we obtain all the solutions previously reported, some of them beingcorrected here, and showing, at the same time, the presence of interestingdetails of these solitary waves that have been overlooked before thisinvestigation