Classification of Second Order Painlevé Type Equations Under the Mei Symmetrical Transformations

Autor:	Haseeb Ur Rehman, Tooba Feroze
Rok vydání:	2023
DOI:	10.21203/rs.3.rs-2694628/v1
Popis:	Ince provided fifty second-order ordinary differential equations of Painlevé type. In this paper, the Mei symmetries correspond to the Lagrangian of the Painlevé-Gambier classification are investigated as well as the Mei invariants along with their respective gauge functions. On the basis of the number of Mei symmetries , these equations are classified. The existence of Mei symmetries can be correlated with the autonomous and non-autonomous properties of ordinary differential equations of Painlevé type. MSC (2020). 76M60; 22E70; 35A30; 58J70
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1cadb992cbfc0754d14fb2c3ef9625de https://doi.org/10.21203/rs.3.rs-2694628/v1 Zobrazit plný text záznamu