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

O. O. Vaneeva; R. O. Popovych; C. Sophocleous

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

Exactly Solvable and Integrable Systems 2009-04-23 v1 Mathematical Physics math.MP

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

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].

Keywords

operator theory and quantum mechanics differential equations partial differential equations

Cite

@article{arxiv.0904.3424,
  title  = {Reduction operators of variable coefficient semilinear diffusion equations with a power source},
  author = {O. O. Vaneeva and R. O. Popovych and C. Sophocleous},
  journal= {arXiv preprint arXiv:0904.3424},
  year   = {2009}
}

Comments

19 pages, contribution to the Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26 - 30 October 2008, Protaras, Cyprus)

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

Abstract

Keywords

Cite

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