Results 231 to 240 of about 422 (246)
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Two Nonisospectral Integrable Hierarchies and its Integrable Coupling

International Journal of Theoretical Physics, 2020
The authors introduce a complex Lie algebra and construct two nonisospectral integrable hierarchies based on it. Then the Hamiltonian structure and the expanding nonisospectral integrable hierarchies are investigated.
Haifeng Wang, Yufeng Zhang
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INTEGRABLE HIERARCHIES FROM BRST COHOMOLOGY

Modern Physics Letters A, 2005
We demonstrate that the Hamiltonian structure and the integrability of a system of evolution equations can be formulated in terms of a classical field theory using BRST and anti-BRST symmetries. We derive the field theory action and explicitly generate the integrable hierarchy associated to a bi-Hamiltonian system based on cohomological arguments and ...
Calian, V., Stoenescu, G.
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New integrable lattice hierarchies

Physics Letters A, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pickering, Andrew, Zhu, Zuo-Nong
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NEW INTEGRABLE LATTICE HIERARCHY AND ITS INTEGRABLE COUPLING

International Journal of Modern Physics B, 2009
New hierarchy of Liouville integrable lattice equation and their Hamiltonian structure are generated by use of the Tu model. Then, integrable couplings of the obtained system is worked out by the extending spectral problem.
Li, Zhu, Dong, Huanhe
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Integrable hierarchies and quantum gravity

2005
proceedings of the eighth Scheveningen Conference, Scheveningen, the Netherlands, August 16-21 ...
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A NEW EXPANDING INTEGRABLE HIERARCHY OF KAUP–NEWELL HIERARCHY

Modern Physics Letters B, 2006
A higher loop algebra is constructed which is devoted to establish an isospectral Lax pair. Integrable coupling of the well-known Kaup–Newell hierarchy is obtained by using a relation of direct sum between two sub-algebras. As in the reduction case, an integrable coupling of a generalized MKdV equation is presented. The approach presented in the paper
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Integrable Hierarchy from Topological Gauge Theory

International Journal of Modern Physics A, 1997
By the recursion operator of nonlinear Schrödinger hierarchy, integrable models in 1+1 dimensions are related to the hierarchy of U(1) invariant gauge fixing constraints for the BF gauge theory. The loop algebra structure for the related linear problem with the spectral parameter as a constant valued, zero-strength gauge degree of freedom is derived.
Lee, Jyh-Hao, Pashaev, Oktay K.
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Modified bosonic integrable hierarchy

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuanyuan Zhang   +3 more
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SUPER INTEGRABLE HIERARCHY AND SUPER HAMILTONIAN STRUCTURES ASSOCIATED WITH GUO HIERARCHY

Modern Physics Letters B, 2009
A Lie superalgebra is constructed from which establishes an isospectral problems. By solving the zero curvature equation, a resulting super hierarchies of the Guo hierarchy are obtained. By making use of the super identity, the Hamiltonian structures of the above super integrable hierarchies are generated, this method can be used to other ...
Zhang, Ning, Dong, Huanhe
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Integrability Criterion of Geodesical Equivalence. Hierarchies

Acta Applicandae Mathematica, 1999
The subject of geodesically equivalent Riemannian metrics, i.e., metrics with the same geodesic lines, has a long history, beginning with \textit{U. Dini} [Brioschi Ann. (2) III, 269-294 (1870; JFM 02.0622.02)]. Because Riemannian metrics are produced by Hamiltonians in a straightforward manner, it results that the implications of geometry of such ...
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