Hirota, Fay and geometry
Sign Up to like & getrecommendations! Published in 2024 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-025-01978-1
Abstract: This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recursion formalism. We write Hirota equations as trans-series and Fay… read more here.
Keywords: hirota fay; language; fay geometry; hirota equations ... See more keywords
Integrability and Group Theoretical Aspects of Deformed N-Coupled Hirota Equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0607-1
Abstract: The integrability and group theoretical aspects of deformed N-coupled Hirota equations are presented. We show that the deformed N-coupled Hirota equations admit a Lax representation along with differential constraints on the deforming functions. We observe… read more here.
Keywords: deformed coupled; hirota equations; integrability group; group theoretical ... See more keywords