A New Loop Algebra and Its Application to the Levi Hierarchy
Zhao Jing
Abstract
Zhao Jing
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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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)