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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{\…
math.AP2023
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…