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Dong, Huan-He; Gong, Xin-Bo

A \((2 + 1)\)-dimensional multi-component AKNS integrable hierarchy and its expanding model. (English) Zbl 1133.37335

Chaos Solitons Fractals 33, No. 3, 945-950 (2007).
Summary: A set of multi-component matrix Lie algebra is constructed, it follows a type of new loop algebra that is presented. A \((2 + 1)\)-dimensional multi-component AKNS integrable hierarchy is obtained by using a \((2 + 1)\)-dimensional zero curvature equation. Furthermore, the loop algebra is expanded into a larger one and a type of integrable coupling system is worked out.

Cited in 5 Documents

MSC:

37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
17B80 Applications of Lie algebras and superalgebras to integrable systems

Keywords:

multi-component matrix Lie algebra; zero curvature equation; loop algebra; integrable coupling system
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References:

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