D. S. Glyzin, S. A. Kashchenko, A. S. Polst'yanov, “Spatially inhomogeneous periodic solutions in the Hutchinson equation with distributed saturation”, Model. Anal. Inform. Sist., 2011, Volume 18, Number 1,Pages <nobr>37

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Spatially inhomogeneous periodic solutions in the Hutchinson equation with distributed saturation

D. S. Glyzin, S. A. Kashchenko, A. S. Polst'yanov

P. G. Demidov Yaroslavl State University

Abstract: The asymptotics of spatially inhomogeneous periodic solutions of a complex spatially distributed Hutchinson equation with periodic boundary conditions are presented. It is shown that such solutions are not observed in a numerical experiment.

Keywords: asymptotic methods; distributed Hutchinson equation; method of steps.

UDC: 517.51+514.17

Received: 22.11.2010