Some Wadati-Konno-Ichikawa type integrable systems and their constructions
Exactly Solvable and Integrable Systems
2023-03-01 v1 Mathematical Physics
math.MP
Abstract
A standard-form Wadati-Konno-Ichikawa(WKI) type integrable hierarchy is derived from a corresponding matrix spectral problem associated with the Lie algebra sl(2, R). Each equation in the resulting hierarchy has a bi-Hamiltonian structure furnished by the trace identity. Then, the higher grading affine algebraic construction of some special cases is proposed. We also show that eneralized short pulse equation arises naturally from the negative WKI flow.
Cite
@article{arxiv.2202.10900,
title = {Some Wadati-Konno-Ichikawa type integrable systems and their constructions},
author = {Shou-Feng Shen and Guo-Fang Wang and Yong-Yang Jin and Xiao-Rui Hu},
journal= {arXiv preprint arXiv:2202.10900},
year = {2023}
}