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

2009/04/22 by Olena Vaneeva, O. O. Vaneeva, Vaneeva, O. O. +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Stability and Controllability of Differential Equations #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.0904.3424

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

arxiv created 2009/04/22 · openalex publication_date 2009/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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≠0,1,2) 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].

Citations

• Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source

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