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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.AP2022
Long-time asymptotics for a complex cubic Camassa-Holm equation
Hongyi Zhang, Yufeng Zhang, Binlu Feng
In this paper, we investigate the Cauchy problem of the following complex cubic Camassa-Holm (ccCH) equation $$m_{t}=b u_{x}+\frac{1}{2}\left[m\left(|u|^{2}-\left|u_{x}\right|^{2}\…