Results 11 to 20 of about 4,761,670 (353)
Topological Strings and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2003 We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using W-algebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the Calabi-Yau.
Aganagic +42 more
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Integrable Hierarchies and Dispersionless Limit [PDF]
Reviews in Mathematical Physics, 1994 Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of
Takasaki, Kanehisa, Takebe, Takashi
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Backlund transformation for integrable hierarchies: example - mKdV hierarchy [PDF]
Journal of Physics: Conference Series, 2015 In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies.
J. F. Gomes +3 more
semanticscholar +3 more sources
Integrable Hierarchies and Information Measures [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 In this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimesional isentropic fluid, with an appropriately motivated ...
Ablowitz M +13 more
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Liouville Correspondences between Integrable Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies.
Jing Kang +3 more
semanticscholar +6 more sources
On the Lagrangian structure of integrable hierarchies [PDF]
, 2015 We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems.
A Bobenko +10 more
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy [PDF]
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2022 For any generalized Frobenius manifold with non-flat unity, we construct a bihamiltonian integrable hierarchy of hydrodynamic type which is an analogue of the Principal Hierarchy of a Frobenius manifold.
Si‐Qi Liu, Haonan Qu, You-jin Zhang
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Classical Yang–Baxter Equation, Lagrangian Multiforms and Ultralocal Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2022 We cast the classical Yang–Baxter equation (CYBE) in a variational context for the first time, by relating it to the theory of Lagrangian multiforms, a framework designed to capture integrability in a variational fashion.
V. Caudrelier +2 more
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Using Vector-Product Loop Algebra to Generate Integrable Systems
Axioms, 2023 A new three-dimensional Lie algebra and its loop algebra are proposed by us, whose commutator is a vector product. Based on this, a positive flow and a negative flow are obtained by introducing a new kind of spectral problem expressed by the vector ...
Jian Zhang +3 more
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