4 papers
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{\…
The Global Existence for the Derivative Nonlinear Schrödinger Equation with solitons
Xuedong Chai, Yufeng Zhang
The global existence of the solution for the second-type derivative nonlinear Schrödinger (DNLSII) equation with solitons is presented for the first time on the line with weighted…
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…
Birkhoff Center and Statistical Behavior of Competitive Dynamical Systems
Xi Sheng, Yi Wang, Yufeng Zhang
We investigate the location and structure of the Birkhoff center for competitive dynamical systems, and give a comprehensive description of recurrence and statistical behavior of o…