Symmetry in Nonlinear Mathematical Physics - 2009

Olena Vaneeva (Institute of Mathematics, Kyiv, Ukraine)
Roman Popovych (Institute of Mathematics, Kyiv, Ukraine & University of Vienna, Austria)
Christodoulos Sophocleous (University of Cyprus, Nicosia, Cyprus)

Reduction operators of variable coefficient semilinear diffusion equations with a power source

Abstract:
Reduction operators (called often nonclassical symmetries) of variable coefficient semilinear reaction-diffusion equations with power nonlinearity f(x)ut = (g(x)ux)x+h(x)um (m ≠ 0, 1, 2) are investigated using the algorithm suggested in [O.O. Vaneeva, R.O. Popovych and C. Sophocleous, Acta Appl. Math. 106 (2009), 1–46, arXiv:0708.3457].