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Symmetries and hamiltonians of Ince's XXXVIII and XLIX equations

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Author(s):
Alves, V. C. C. ; Aratyn, H. ; Gomes, J. F. ; Zimerman, A. H. ; IOP
Total Authors: 5
Document type: Journal article
Source: WAKE CONFERENCE 2021; v. 1194, p. 9-pg., 2019-01-01.
Abstract

We discuss symmetries of Hamiltonians of I-38 and I-49 equations that appear on Ince's list of fifty second-order differential equations with Painleve property. This study is informed by structure of Weyl symmetries of Painleve P-III and mixed Painleve PIII-V equations and provides insights into differences between the symmetries of Painleve equations and symmetries of solvable equations on Ince's list. (AU)

FAPESP's process: 16/22122-9 - Integrable 6-Bose System/ Integrable Lattice Hierarquies
Grantee:Victor César Costa Alves
Support Opportunities: Scholarships in Brazil - Doctorate