2015•Unpublished venueRequires access

A new integrable hamiltonian hierarchy and associated integrable coupling system

Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu

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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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What this paper is about

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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Available 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.

Key concepts: Integrable system, Isospectral, Hamiltonian system, Loop algebra, Hamiltonian (control theory), Superintegrable Hamiltonian system, Mathematics, Camassa–Holm equation

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