Author:
Shen Shou-Feng,Wang Guo-Fang,Jin Yong-Yang,Hu Xiao-Rui
Abstract
AbstractA standard form of Wadati-Konno-Ichikawa(WKI)-type integrable systems is derived from an $$sl(2,\mathbb {R})$$
s
l
(
2
,
R
)
-valued spectral problem. 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 the generalized short pulse equation arises naturally from the negative WKI flow.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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