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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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9 pages, LaTeX209 file, uses jpsj.sty

Scientific paper

10.1143/JPSJ.68.2241

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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