Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Copyright policy )Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
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) hierarchy are worked out, which are different from the linear integrable couplings. Based on the variational identity, the Hamiltonian structures of the above hierarchies are derived.
- Shandong University of Science and Technology China (People's Republic of)
- University of Chinese Academy of Sciences China (People's Republic of)
- Chinese Academy of Sciences China (People's Republic of)
- Shandong University of Science and Technology China (People's Republic of)
- Chinese Academy of Science (中国科学院) China (People's Republic of)
QA1-939, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Mathematics, Applications of Lie algebras and superalgebras to integrable systems
QA1-939, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Mathematics, Applications of Lie algebras and superalgebras to integrable systems
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