Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-02-25
Nonlinear Sciences
Pattern Formation and Solitons
French. LaTex 2e. IRMA Lectures in Mathematics and Theoretical Physics (de Gruyter, Berlin, to appear in 2003)
Scientific paper
Even if it is nonintegrable, a differential equation may nevertheless admit particular solutions which are globally analytic. On the example of the dynamical system of Kuramoto and Sivashinsky, which is generically chaotic and presents a high physical interest, we review various methods, all based on the structure of singularities, allowing us to characterize the analytic solution which depends on the largest possible number of constants of integration.
Conte Robert
Musette Micheline
Tat-leung Yee
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