3 papers
math.AP2024
Asymptotic behavior for a new higher-order nonlinear Schrödinger equation
Hongyi Zhang, Yufeng Zhang, Binlu Feng
We investigate the Cauchy problem of a new higher-order nonlinear Schrödinger equation (NHNSE) with weighted Sobolev initial data which is derived by ourselves. By applying $\bar{\…
nlin.SI2023
The general solutions for a non-isospectral integrable TD hierarchy via the inverse scattering transform
Hongyi Zhang, Yufeng Zhang, Binlu Feng
A non-isospectral Lax pair is first introduced from which a kind of non-isospectral integrable TD hierarchy is derived, whose reduction is an integrable system called the non-isosp…
math.RA2020
On Hom-Groups and Hom-Group actions
Liangyun Chen, Tianqi Feng, Yao Ma +2
A Hom-group is the non-associative generalization of a group, whose associativity and unitality are twisted by a compatible bijective map. In this paper, we give some new examples…