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Two Nonisospectral Integrable Hierarchies and its Integrable Coupling
International Journal of Theoretical Physics, 2020The 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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Communications in Mathematical Physics, 2023
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transforms it to another bihamiltonian integrable hierarchy ...
Si‐Qi Liu, Zhe Wang, You-jin Zhang
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For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transforms it to another bihamiltonian integrable hierarchy ...
Si‐Qi Liu, Zhe Wang, You-jin Zhang
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INTEGRABLE HIERARCHIES FROM BRST COHOMOLOGY
Modern Physics Letters A, 2005We 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, 2006zbMATH 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, 2009New 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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Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures
Communications in Mathematical Physics, 2017Starting from a so-called flat exact semisimple bihamiltonian structure of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated principal hierarchy.
B. Dubrovin, Si‐Qi Liu, You-jin Zhang
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Integrable hierarchies and quantum gravity
2005proceedings of the eighth Scheveningen Conference, Scheveningen, the Netherlands, August 16-21 ...
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