2004•Chinese PhysicsOpen access

A type of multi-component integrable hierarchy

Yufeng Zhang, Zhang Yu-Sen

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Abstract

A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra à 1 . It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.

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A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra à 1 . It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.

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Available abstract

A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra à 1 . It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.

Key concepts: Loop algebra, Integrable system, Isospectral, Hierarchy, Algebra over a field, Type (biology), Component (thermodynamics), Loop (graph theory)

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