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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A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy [PDF]
Abstract and Applied Analysis, 2014 We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system ...
Fajun Yu, Shuo Feng, Yanyu Zhao
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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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Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy [PDF]
Journal of Applied Mathematics, 2014 Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then, its super Hamiltonian structures were established by using super trace identity.
Xiuzhi Xing, Jingzhu Wu, Xianguo Geng
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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
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Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) [PDF]
Advances in Mathematical Physics, 2015 Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem.
Yan Cao, Liangyun Chen, Baiying He
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Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3) [PDF]
Advances in Mathematical Physics, 2017 Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
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A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources [PDF]
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
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An integrable hierarchy without a recursion operator
, 2023 10 ...
Sakovich, S., Sakovich, Sergei
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An Integrated Integrable Hierarchy Arising from a Broadened Ablowitz–Kaup–Newell–Segur Scenario
AxiomsThis study introduces a 4×4 matrix eigenvalue problem and develops an integrable hierarchy with a bi-Hamiltonian structure. Integrability is ensured by the zero-curvature condition, while the Hamiltonian structure is supported by the trace identity ...
Wen-Xiu Ma
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