Title: An extension of integrable equations related to AKNS and WKI spectral problems and their reductions
Abstract: A novel hierarchy of integrable nonlinear evolution equations related to the combined Ablowitz–Kaup–Newell–Segur (AKNS) and Wadati–Konno–Ichikawa (WKI) spectral problems is proposed, from which the Lax pair for a corresponding negative flow and its infinite many conservation laws are obtained. Furthermore, a reduction of this hierarchy is discussed, by which a generalized sinh-Gordon equation is derived on the basis of its negative flow.
Publication Year: 2018
Publication Date: 2018-04-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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