2004•Journal of Mathematical Research and ExpositionRequires access

Integrable Couplings of Generalized Glachette-Johnson (GJ) Hierarchy

Yufeng Zhang

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Abstract

A new loop algebra G is established to obtain integrable coupling of GJ hierarchy. In particular, iiitegrable coupling of the well-known AKNS hierarchy is presented. This method can be used generally.

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A new loop algebra G is established to obtain integrable coupling of GJ hierarchy. In particular, iiitegrable coupling of the well-known AKNS hierarchy is presented. This method can be used generally.

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Available abstract

A new loop algebra G is established to obtain integrable coupling of GJ hierarchy. In particular, iiitegrable coupling of the well-known AKNS hierarchy is presented. This method can be used generally.

Key concepts: Integrable system, Hierarchy, Mathematics, Algebra over a field, Coupling (piping), Loop algebra, Pure mathematics, Current algebra

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