most citedLong-Time Behavior of Solutions to the Derivative Nonlinear Schrödinger Equation for Soliton-Free Initial Data

7 citations · 7 across the 2 of their papers we have counts for

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math.AP2024

Partial mass dynamics of the defocussing nonlinear Schrödinger equation

Jiaqi Liu, XiXi Xu

We study the long time dynamics of the defocussing NLS equation. Compared with previous literature, we revisit the direct and inverse scattering map to obtain asymptotics in some w…

math.AP2016★ 7 cited

Long-Time Behavior of Solutions to the Derivative Nonlinear Schrödinger Equation for Soliton-Free Initial Data

Jiaqi Liu, Peter Perry, Catherine Sulem

The large-time behavior of solutions to the derivative nonlinear Schrödinger equation is established for initial conditions in some weighted Sobolev spaces under the assumption tha…