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Travelling wave solutions of the Kuramoto-Sivashinsky equation

1988; Elsevier BV; Volume: 10; Issue: 5 Linguagem: Inglês

10.1016/0165-2125(88)90045-5

1878-433X

A. P. Hooper, Roger Grimshaw,

Solidification and crystal growth phenomena

In this paper we discuss travelling wave solutions of the Kuramoto-Sivashinsky equation. Three categories are identified and labelled as regular shocks, solitary waves and oscillatory shocks. Some numerical results are presented which indicate the existence of complicated families of solutions.