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2002•Journal of Mathematical Research and ExpositionRequires access

An Integrable System Similar to the KN Hierarchy andIts Integrable Coupling

Hongqing Zhang

Open publisher page 1 citations

Abstract

A linear isospectral problem is established by choosing a subalgebra of loop alge-bra A1, from which an integrable hierarchy of equations similar to the KN hierarchy is de-rived. A simple straightforward method for obtaining integrable couplings is proposed. Itfollows that the integrable coupling of the above hierarchy is obtained. This method can beused generally.

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What this paper is about

A linear isospectral problem is established by choosing a subalgebra of loop alge-bra A1, from which an integrable hierarchy of equations similar to the KN hierarchy is de-rived. A simple straightforward method for obtaining integrable couplings is proposed. Itfollows that the integrable coupling of the above hierarchy is obtained. This method can beused generally.

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Available abstract

A linear isospectral problem is established by choosing a subalgebra of loop alge-bra A1, from which an integrable hierarchy of equations similar to the KN hierarchy is de-rived. A simple straightforward method for obtaining integrable couplings is proposed. Itfollows that the integrable coupling of the above hierarchy is obtained. This method can beused generally.

Key concepts: Integrable system, Isospectral, Hierarchy, Mathematics, Simple (philosophy), Coupling (piping), Subalgebra, Pure mathematics

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