A new integrable hamiltonian hierarchy and associated integrable coupling system
Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu
Abstract
Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu
Abstract
In this paper, a new loop algebra are established, from which an isospectral problem is hence defined. By making use of Tu's scheme, a new integrable system is obtained. It follows that integrable couplings of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
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In this paper, a new loop algebra are established, from which an isospectral problem is hence defined. By making use of Tu's scheme, a new integrable system is obtained. It follows that integrable couplings of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
Key concepts: Integrable system, Isospectral, Hamiltonian system, Loop algebra, Hamiltonian (control theory), Superintegrable Hamiltonian system, Mathematics, Camassa–Holm equation