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

O. O. Vaneeva, R. O. Popovych, C. Sophocleous

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…