A Coupled AKNS-Kaup-Newell Soliton Hierarchy

Details A Coupled AKNS-Kaup-Newell Soliton Hierarchy A Coupled AKNS-Kaup-Newell Soliton Hierarchy

1999-08-09

arxiv.org/abs/solv-int/9908005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, latex

Scientific paper

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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