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

Abstract

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.

9 pages, LaTeX209 file, uses jpsj.sty

References in corpus (2)

• Integrable semi-discretization of the coupled nonlinear Schrödinger equations
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components

Cited by in corpus (2)

• Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
• New reductions of integrable matrix PDEs: $Sp(m)$-invariant systems