2 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…