Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-04-22
Nonlinear Sciences
Exactly Solvable and Integrable Systems
19 pages, contribution to the Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (2
Scientific paper
Reduction operators (called often nonclassical symmetries) of variable
coefficient semilinear reaction-diffusion equations with power nonlinearity
$f(x)u_t=(g(x)u_x)_x+h(x)u^m$ ($m\neq0,1,2$) are investigated using the
algorithm suggested in [O.O. Vaneeva, R.O. Popovych and C. Sophocleous, Acta
Appl. Math., 2009, V.106, 1-46; arXiv:0708.3457].
Popovych Roman O.
Sophocleous Christodoulos
Vaneeva Olena O.
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