Analytic solitary waves of nonintegrable equations

Details Analytic solitary waves of nonintegrable equations Analytic solitary waves of nonintegrable equations

2003-02-24

arxiv.org/abs/nlin/0302051v1

Nonlinear Sciences

Pattern Formation and Solitons

LaTex 2e. To appear, Physica D

Scientific paper

10.1016/S0167-2789(03)00069-1

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.

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