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math.AP2022★ 1 cited
Long-time asymptotics for a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions
Weiqi Peng, Yong Chen
In this work, we consider the long-time asymptotics for the Cauchy problem of a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions at infinity.…
math.AP2022★ 7 cited
Long-time Asymptotic Behavior of the coupled dispersive AB system in Low Regularity Spaces
Jin-Yan Zhu, Yong Chen
In this paper, we mainly investigate the long-time asymptotic behavior of the solution for the coupled dispersive AB system with weighted Sobolev initial data, which allows soliton…
math.AP2022
Long-time asymptotics for the reverse space-time nonlocal Hirota equation with decaying initial value problem: Without solitons
Wei-Qi Peng, Yong Chen
In this work, we mainly consider the Cauchy problem for the reverse space-time nonlocal Hirota equation with the initial data rapidly decaying in the solitonless sector. Start from…