Групова класифікація диференціальних рівнянь: алгебраїчний підхід

Sofiia Huraka; Oleksandra Lokaziuk

doi:10.3842/trim.v21n1.539

On group classification of differential equations: algebraic approach

Authors

Sofiia Huraka Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1 Canada https://orcid.org/0009-0002-8655-0478
Oleksandra Lokaziuk Institute of Mathematics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0001-9663-251X

DOI:

https://doi.org/10.3842/trim.v21n1.539

Abstract

Using the classical Lie theorem on realizations of Lie algebras by vector fields on the line, we substantially simplify the proof of the known results on the group classification of the classes of (1+1)-dimensional nonlinear evolution equations u_t=H(u_xx) and u_t+uu_x=H(u_xx).

Актуальні проблеми сучасної математики: методи, моделі та застосування

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Published

2025-08-18

How to Cite

Huraka, S., & Lokaziuk, O. (2025). On group classification of differential equations: algebraic approach. Transactions of Institute of Mathematics, the NAS of Ukraine, 21(1), 35–58. https://doi.org/10.3842/trim.v21n1.539