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Summary: COLLOQUIUM
Alexey F. Shevyakov
University of Saskatchewan
Symmetry Methods for
Differential Equations and
Their Applications in
Mathematical Modeling
Friday, January 20, 2012
3:30 p.m.
Centre for Kineseology, Health and Sport (CK) 187
Abstract: A large number of mathematical models are formulated in terms of
problems for partial or ordinary differential equations (PDE, ODE). In particular,
this includes models that employ dynamical systems, physical models involv-
ing continuum or field theory, etc. Many contemporary ODE and PDE models
that arise in applications are essentially nonlinear, which makes common general
methods of solution non-applicable. Most of the currently available methods of
analysis of such models are restricted to certain classes of nonlinear DE systems
and/or initial/boundary value problems.
In this talk, we will discuss symmetry methods stemming from the original
ideas of Sophus Lie, and contemporary generalizations of such methods. The
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