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2003•Journal of Jiamusi UniversityRequires access

AN INTEGRABLE SYSTEM OF DIRACD HIERARCHY AND ITS INTEGRABLE COUPLING

Ye-Peng Sun

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Abstract

A isospectral problem is established by using a suba lgebra of Loop algebra ?1,from which an Integrable hierarchy of equations is derived .then A new subalgebra of Loop algebra ?2is co nstructed .Designing an isospectral problem and using Tu-model,Integrable coupling of Dirac equations hi erarchy are obtained .This method can be used generally.

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What this paper is about

A isospectral problem is established by using a suba lgebra of Loop algebra ?1,from which an Integrable hierarchy of equations is derived .then A new subalgebra of Loop algebra ?2is co nstructed .Designing an isospectral problem and using Tu-model,Integrable coupling of Dirac equations hi erarchy are obtained .This method can be used generally.

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Available abstract

A isospectral problem is established by using a suba lgebra of Loop algebra ?1,from which an Integrable hierarchy of equations is derived .then A new subalgebra of Loop algebra ?2is co nstructed .Designing an isospectral problem and using Tu-model,Integrable coupling of Dirac equations hi erarchy are obtained .This method can be used generally.

Key concepts: Isospectral, Integrable system, Subalgebra, Loop algebra, Hierarchy, Mathematics, Coupling (piping), Algebra over a field

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