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2006•Journal of Luoyang UniversityRequires access

Integrable Couplings of the (2+1)-dimensional JM Hierarchy and Its Hamiltonian Structure as well as the Multi-component JM Hierarchy

Gong Xin-bo

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Abstract

A(2+1)-dimensional JM hierarchy is generated from one of reduced equations of self-dual Yang-Mills equatinos.With the help of a proper loop algebra,the Hamiltonian structure of its expanding integrable model(actually,its integrable couplings)is put out by using the quadratic-form identity,which is Liouville intergrable.Which is more,a corresponding multi-component JM hierarchy is given.The method this paper mentioned can be widely used to other soliton hierarchies.

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What this paper is about

A(2+1)-dimensional JM hierarchy is generated from one of reduced equations of self-dual Yang-Mills equatinos.With the help of a proper loop algebra,the Hamiltonian structure of its expanding integrable model(actually,its integrable couplings)is put out by using the quadratic-form identity,which is Liouville intergrable.Which is more,a corresponding multi-component JM hierarchy is given.The method this paper mentioned can be widely used to other soliton hierarchies.

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Available abstract

A(2+1)-dimensional JM hierarchy is generated from one of reduced equations of self-dual Yang-Mills equatinos.With the help of a proper loop algebra,the Hamiltonian structure of its expanding integrable model(actually,its integrable couplings)is put out by using the quadratic-form identity,which is Liouville intergrable.Which is more,a corresponding multi-component JM hierarchy is given.The method this paper mentioned can be widely used to other soliton hierarchies.

Key concepts: Integrable system, Hierarchy, Loop algebra, Hamiltonian (control theory), Quadratic equation, Mathematics, Component (thermodynamics), Soliton

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