Results 11 to 20 of about 456 (259)
A novel hierarchy of integrable lattices [PDF]
Inverse Problems, 1994 In the framework of the reduction technique for Poisson-Nijenhuis structures, we derive a new hierarchy of integrable lattice, whose continuum limit is the AKNS hierarchy. In contrast with other differential-difference versions of the AKNS system, our hierarchy is endowed with a canonical Poisson structure and, moreover, it admits a vector ...
MEROLA, IMMACOLATA +2 more
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INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT [PDF]
Reviews in Mathematical Physics, 1995 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 the ordinary KP and Toda hierarchy.
Takasaki, Kanehisa, Takebe, Takashi
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Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme
Mathematics, 2020 In the paper, we introduce an efficient method for generating non-isospectral integrable hierarchies, which can be used to derive a great many non-isospectral integrable hierarchies.
Haifeng Wang, Yufeng Zhang
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Generating nonisospectral integrable hierarchies via a new scheme
Advances in Difference Equations, 2020 In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method.
Haifeng Wang, Yufeng Zhang
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Conformal Maps and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2000 Let \(D\) be simply connected domain in the complex \(z\)-plane bounded by a simple analytic curve \(\Gamma\). The authors show that conformal maps \(D\) onto unit disk \(G_1=\{x \mid|z|
Wiegmann, P. B., Zabrodin, A.
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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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Topological Strings and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2005 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. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue
Aganagic, M. +4 more
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Integrable hierarchies and information measures [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 11 ...
Parwani, R.R., Pashaev, O.K.
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Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
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