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arXiv · 0904.3424

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

O. O. Vaneeva·R. O. Popovych·C. Sophocleous
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Abstract

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].

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O. O. Vaneeva, R. O. Popovych, C. Sophocleous. 2009-04-22. Reduction operators of variable coefficient semilinear diffusion equations with a power source. https://arxiv.org/abs/0904.3424

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