Aderogba, Adebayo AbiodunChapwanya, MichaelDjoko, J.K. (Jules Kamdem)2013-09-092013-09-092012-01Aderogba, AA, Chapwanya, M & Djoko, JK 2012, 'Traveling wave solution of the Kuramoto-Sivashinsky equation : a computational study', AIP Conference Proceedings, vol. 1479, vol. 1, pp. 777-780.0094-243X (print)1551-7616 (online)10.1063/1.4756252.http://hdl.handle.net/2263/30819This work considers the numerical solution of the Kuramoto-Sivashinsky equation using the fractional time splitting method. We will investigate the numerical behavior of two categories of the traveling wave solutions documented in the literature (Hooper & Grimshaw (1998)), namely: the regular shocks and the oscillatory shocks. We will also illustrate the ability of the scheme to produce convergent chaotic solutions.en© 2012 American Institute of PhysicsKuramoto-Sivashinsky equationTraveling wave solutionTime-step splittingPostprint Article