The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem (original) (raw)

The paper explores the nonlinear evolution equations (NLEEs) associated with the Wadati-Konno-Ichikawa spectral problem, expanding on previous work by incorporating more generalized polynomial forms. By establishing recurrence relations through matrix coefficient comparisons, the authors derive various hierarchies of NLEEs, leading to new insights particularly at specific parameter values. The study presents explicit forms of several integrable NLEEs and discusses their derivation using an integro-differential matrix operator.