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2010•International Journal of Modern Physics BRequires access

A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS

Jianyu Zhang, Xiaoli Wei

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Abstract

In this paper, by making use of the generalized Tu scheme, we consider an isospectral problem, and then a new integrable hierarchy is constructed. It is shown that the generalized Levi hierarchy can be obtained as a reduction. Further, integrable couplings of the generalized Levi hierarchy is produced based on an enlarging isospectral problem.

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What this paper is about

In this paper, by making use of the generalized Tu scheme, we consider an isospectral problem, and then a new integrable hierarchy is constructed. It is shown that the generalized Levi hierarchy can be obtained as a reduction. Further, integrable couplings of the generalized Levi hierarchy is produced based on an enlarging isospectral problem.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, by making use of the generalized Tu scheme, we consider an isospectral problem, and then a new integrable hierarchy is constructed. It is shown that the generalized Levi hierarchy can be obtained as a reduction. Further, integrable couplings of the generalized Levi hierarchy is produced based on an enlarging isospectral problem.

Key concepts: Isospectral, Integrable system, Hierarchy, Reduction (mathematics), Mathematics, Pure mathematics, Scheme (mathematics), Algebra over a field

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