摘要
With the aid of Lenard recursion equations, an integrable hierarchy of nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is proposed, in which the first nontrivial member in the positive flows can be reduced to a new generalization of the Wadati–Konno–Ichikawa(WKI) equation. Further, a new generalization of the Fokas–Lenells(FL) equation is derived from the negative flows. Resorting to these two Lax pairs and Riccati-type equations, the infinite conservation laws of these two corresponding equations are obtained.
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.11971441,11871440,and 11931017)
Key Scientific Research Projects of Colleges and Universities in Henan Province,China(Grant No.20A110006).
