Results 31 to 40 of about 422 (246)
Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present unified bilinear forms for both the AKNS hierarchy and the KdV hierarchy ...
Xingbiao Hu, Guofu Yu, Yingnan Zhang
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A Few Kinds of Loop Algebras and Some Applications
AxiomsIn this paper, we search for some approaches for generating (1+1)-dimensional, (2+1)-dimensional and (3+1)-dimensional integrable equations by making use of various Lie algebras and the corresponding loop algebras under the frame of the Tu scheme.
Yanmei Sun +3 more
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Intertwining operator and integrable hierarchies from topological strings
Journal of High Energy Physics, 2021 In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation.
Jean-Emile Bourgine
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SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe 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 +4 more
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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 +3 more
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Journal of High Energy Physics, 2021 The infinite number of particles limit in the dual to elliptic Ruijsenaars model (coordinate trigonometric degeneration of quantum double elliptic model) is proposed using the Nazarov-Sklyanin approach.
A. Grekov, A. Zotov
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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 +3 more
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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. +1 more
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
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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 +2 more
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