Results 51 to 60 of about 4,761,670 (353)

Dispersionless integrable hierarchies and GL(2, ℝ) geometry [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2016
Paraconformal or GL(2, ℝ) geometry on an n-dimensional manifold M is defined by a field of rational normal curves of degree n – 1 in the projectivised cotangent bundle ℙT*M.
E. Ferapontov, B. Kruglikov
semanticscholar   +1 more source

The Witten equation, mirror symmetry and quantum singularity theory

, 2012
For any non-degenerate, quasi-homogeneous hypersurface singularity, we describe a family of moduli spaces, a virtual cycle, and a corresponding cohomological field theory associated to the singularity. This theory is analogous to Gromov-Witten theory and
Fan, Huijun, Jarvis, Tyler J., Ruan, Yongbin   +2 more
core   +1 more source

SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
The construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans, A. R. Aguirre, J. F. Gomes, G. V. Lobo, A. H. Zimerman   +4 more
doaj   +1 more source

Solution of tetrahedron equation and cluster algebras

Journal of High Energy Physics, 2021
We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations.
P. Gavrylenko, M. Semenyakin, Y. Zenkevich   +2 more
doaj   +1 more source

Integrating partonomic hierarchies in anatomy ontologies [PDF]

BMC Bioinformatics, 2004
Abstract Background Anatomy ontologies play an increasingly important role in developing integrated bioinformatics applications. One of the primary relationships between anatomical tissues represented in such ontologies is part-of.
Burger, Albert, Davidson, Duncan, Yang, Yiya, Baldock, Richard   +3 more
openaire   +4 more sources

Genus expansion of matrix models and ћ expansion of KP hierarchy

Journal of High Energy Physics, 2020
We study ћ expansion of the KP hierarchy following Takasaki-Takebe [1] considering several examples of matrix model τ-functions with natural genus expansion.
A. Andreev, A. Popolitov, A. Sleptsov, A. Zhabin   +3 more
doaj   +1 more source

Actions for Integrable Systems and Deformed Conformal Theories [PDF]

, 1992
I report on work on a Lagrangian formulation for the simplest 1+1 dimensional integrable hierarchies. This formulation makes the relationship between conformal field theories and (quantized) 1+1 dimensional integrable hierarchies very clear.Comment ...
Schiff, Jeremy
core   +3 more sources

Functional representations of integrable hierarchies

, 2006
We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which `functional representations' of particular hierarchies (like KP, discrete KP, mKP, AKNS), i.e.
Ablowitz M J, Aristophanes Dimakis, Bogdanov L V, Bogdanov L V, Bogdanov L V Konopelchenko B G Martinez Alonso L, Błaszak M, Curtright T, Date E, Dickey L A, Dickey L A Strampp W, Dimakis A, Dimakis A, Dimakis A Müller-Hoissen F, Dubrovsky V G, Ebrahimi-Fard K, Folkert Müller-Hoissen, Gesztesy F, Haine L, Hasse H, Hirota R, Iliev P, Kupershmidt B A, Kupershmidt B A, Macdonald I G, Mason L J, Matsumura H, Nijhoff F W, Ohta Y, Pritula G M, Rogers C, Ueno K, Vekslerchik V E, Vekslerchik V E, Vekslerchik V E, Wilson G   +34 more
core   +3 more sources

Dispersionless Limit of Integrable Models [PDF]

, 2002
Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type.
Brunelli, J. C.
core   +2 more sources

Integrable hierarchies and the modular class [PDF]

Annales de l'Institut Fourier, 2008
It is well-known that the Poisson-Nijenhuis manifolds, introduced by Kosmann-Schwarzbach and Magri form the appropriate setting for studying many classical integrable hierarchies. In order to define the hierarchy, one usually specifies in addition to the Poisson-Nijenhuis manifold a bi-hamiltonian vector field.
Damianou, Pantelis A., Fernandes, Rui Loja   +1 more
openaire   +2 more sources