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International Workshop «Geometric Structures in Integrable Systems»
October 30, 2012 11:50–12:20, Moscow, M.V. Lomonosov Moscow State University
 


Reductions of stationary boundary layer equation

A. V. Aksenov, A. N. Kozyrev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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A. V. Aksenov, A. N. Kozyrev

Abstract: P. Clarkson and M. Kruskal (1989) proposed a method for finding reductions of partial differential equations with two independent variables. For the Boussinesq equation new similarity reductions were obtained. This reductions cannot be obtained using classical Lie group method. In our paper more simple method for finding reductions of partial differential equations with two independent variables is proposed. Examples of application this method are given. For stationary boundary layer equation new similarity reductions are obtained.

Materials: aksenovkozyrev12_max50.pdf (79.8 Kb)

Language: English

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