Results 41 to 50 of about 132,792 (288)

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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A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy [PDF]

Abstract and Applied Analysis, 2014
We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system; then we consider the Hamiltonian structure of the integrable coupling system.
Yu, Fajun, Feng, Shuo, Zhao, Yanyu
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Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]

Open Communications in Nonlinear Mathematical Physics
In 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 new kind of anomaly: on W-constraints for GKM

Journal of High Energy Physics, 2021
We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we
A. Morozov
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Backlund transformation for integrable hierarchies: example - mKdV hierarchy

Journal of Physics: Conference Series, 2015
Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent ...
Gomes, J. F., Retore, A. L., Spano, N. I., Zimerman, A. H.   +3 more
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A Few Kinds of Loop Algebras and Some Applications

Axioms
In 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, Weiwei Zhang, Nina Xue, Yufeng Zhang   +3 more
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Associativity equations in dispersionless integrable hierarchies

Physics Letters B, 2001
We discuss the origin of the associativity (WDVV) equations in the context of quasiclassical or Whitham hierarchies. The associativity equations are shown to be encoded in the dispersionless limit of the Hirota equations for KP and Toda hierarchies. We show, therefore, that any tau-function of dispersionless KP or Toda hierarchy provides a solution to ...
Boyarsky, A.M., Marshakov, A., Ruchayskiy, O., Wiegmann, P., Zabrodin, A.   +4 more
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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.
Albert Burger, Duncan Davidson, Yiya Yang, Richard A. Baldock   +3 more
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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
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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, A. Popolitov, A. Sleptsov, A. Zhabin   +3 more
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