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arxiv: solv-int/9907018 · v1 · submitted 1999-07-22 · solv-int · nlin.SI

Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems

classification solv-int nlin.SI
keywords multi-componentsystemsequationferromagnetheisenberghigherintegrablebasis
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Higher flows of the Heisenberg ferromagnet equation and the Wadati-Konno-Ichikawa equation are generalized into multi-component systems on the basis of the Lax formulation. It is shown that there is a correspondence between the multi-component systems through a gauge transformation. An integrable semi-discretization of the multi-component higher Heisenberg ferromagnet system is obtained.

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