A Coupled AKNS-Kaup-Newell Soliton Hierarchy

Wen-Xiu Ma; Ruguang Zhou

doi:10.1063/1.532976

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A Coupled AKNS-Kaup-Newell Soliton Hierarchy

Wen-Xiu Ma·Ruguang Zhou

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Abstract

A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-Kaup-Newell systems in the hierarchy. Therefore all systems have infinitely many commuting symmetries and conservation laws. Two reductions of the systems lead to the AKNS hierarchy and the Kaup-Newell hierarchy, and thus those two soliton hierarchies also possess tri-Hamiltonian structures.

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Wen-Xiu Ma, Ruguang Zhou. 1999-08-09. A Coupled AKNS-Kaup-Newell Soliton Hierarchy. https://doi.org/10.1063/1.532976

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