Results 41 to 50 of about 20,937 (290)

A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources

Journal of Applied Mathematics, 2014
Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity.
Yuqing Li, Huanhe Dong, Baoshu Yin
doaj   +1 more source

A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings

Abstract and Applied Analysis, 2014
Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree being λ, for which an integrable hierarchy of evolution equations (called the TX hierarchy) was derived under the frame of zero curvature equations.
Guangming Wang
doaj   +1 more source

Initial states in integrable quantum field theory quenches from an integral equation hierarchy

Nuclear Physics B, 2016
We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches ...
D.X. Horváth, S. Sotiriadis, G. Takács
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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, Davidson, Duncan, Yang, Yiya, Baldock, Richard   +3 more
openaire   +4 more sources

On the quantum KP hierarchy and its relation to the non-linear Schr\"odinger equation

, 1992
We establish a relation between the classical non-linear Schr\"odinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy.
Das, Dickey, Drinfeld, Eguchi, Fateev, Feigin, Figueroa-O'Farrill, Gervais, Gervais, Hollowood, Kupershmidt, M.D. Freeman, Omote, P. West, Pope, Sasaki, Thielemans, Watanabe, Wilson, Wolfram, Yamagishi, Yu, Yu, Zamolodchikov   +23 more
core   +1 more source

Toda lattice realization of integrable hierarchies [PDF]

, 1995
We present a new realization of scalar integrable hierarchies in terms of the Toda lattice hierarchy. In other words, we show on a large number of examples that an integrable hierarchy, defined by a pseudodifferential Lax operator, can be embedded in the
Bonora, L., Constantinidis, C. P., Vinteler, E.   +2 more
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

Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy

, 1996
Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs different from the original ones. Binary nonlinearization procedure corresponding to the Bargmann symmetry constraint is carried out for those Lax pairs.
A. P. Fordy, B. Fuchssteiner, B. Q. Lu, C. P. Liu, C. W. Cao, C. W. Cao, D. J. Kaup, F. Magri, G. Z. Tu, G. Z. Tu, G. Z. Tu, H. Airault, M. Antonowicz, M. J. Ablowitz, Q. Ding, V. I. Arnold, W. -X. Ma, W. G. Zhang, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, Y. B. Zeng   +22 more
core   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

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, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source

Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)

Open Mathematics, 2017
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
doaj   +1 more source