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math.AP2023★ 7 cited
Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion
Renata O. Figueira, Mahendra Panthee
We consider the initial value problems (IVPs) for the modified Korteweg-de Vries (mKdV) equation \begin{equation*} \label{mKdV} \left\{\begin{array}{l} \partial_t u+ \partial_x^3u+…
math.AP2023
Sharp global well-posedness for the cubic nonlinear Schrödinger equation with third order dispersion
Xavier Carvajal, Mahendra Panthee
We consider the initial value problem (IVP) associated to the cubic nonlinear Schrödinger equation with third-order dispersion \begin{equation*} \partial_{t}u+iα\partial^{2}_{x}u-…