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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2025-08-21 0:49 |
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Conference: Bucharest University Faculty of Physics 2025 Meeting
Section: Theoretical and Computational Physics, High-Energy Physics, Applied Mathematics
Title:
Singularity confinement and proliferation of tau functions for a general differential-difference Sawada-Kotera equation
Authors:
Andrei MARIN (1,2), Adrian Stefan CARSTEA (2)
Affiliation:
1) Faculty of Physics, University of Bucharest, Bucharest-Magurele, Romania
2) Horia Hulubei National Institute for Physics and Nuclear Engineering, Magurele, Romania
E-mail
andrei.marin2@s.unibuc.ro
Keywords:
Integrable systems
Abstract:
Blending Painlevé property with singularity confinement for a general arbitrary order Sawada-Kotera differential-difference equation, we find a proliferation of "tau-functions" (coming from strictly confined patterns). However only one of these function enters into the Hirota bilinear form (the others give multi-linear expressions) but has specific relations with all others. We also discuss the case of two modifications of Sawada-Kotera showing that periodic patterns appear in addition to strictly confined ones. The express method for computing algebraic entropy is discussed.
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