2003•Journal of Mathematical Research and ExpositionRequires access

A New Loop Algebra and Its Application to the Levi Hierarchy

Zhao Jing

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Abstract

A new loop algebra 5 is constructed from a subalgebra of loop algebra A1 , and then is applied to the Levi's isospectral problem to give an integrable coupling of the Levi hierarchy by making a suitable transformation of Lax pair. This method can be used generally.

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What this paper is about

A new loop algebra 5 is constructed from a subalgebra of loop algebra A1 , and then is applied to the Levi's isospectral problem to give an integrable coupling of the Levi hierarchy by making a suitable transformation of Lax pair. This method can be used generally.

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Available abstract

A new loop algebra 5 is constructed from a subalgebra of loop algebra A1 , and then is applied to the Levi's isospectral problem to give an integrable coupling of the Levi hierarchy by making a suitable transformation of Lax pair. This method can be used generally.

Key concepts: Loop algebra, Subalgebra, Isospectral, Mathematics, Hierarchy, Algebra over a field, Loop (graph theory), Transformation (genetics)

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