80 citations · 286 across the 38 of their papers we have counts for
5 papers · 2 filters
Large global solutions for nonlinear Schrödinger equations II, mass-supercritical, energy-subcritical cases
Marius Beceanu, Qingquan Deng, Avy Soffer +1
In this paper, we consider the defocusing mass-supercritical, energy-subcritical nonlinear Schrödinger equation, w…
Optimal small data Scattering for the generalized derivative nonlinear Schrödinger equations
Ruobing Bai, Yifei Wu, Jun Xue
In this work, we consider the following generalized derivative nonlinear Schrödinger equation \begin{align*} i\partial_t u+\partial_{xx} u +i |u|^{2σ}\partial_x u=0, \quad (t,x)\in…
Large global solutions for nonlinear Schrödinger equations I, mass-subcritical cases
Marius Beceanu, Qingquan Deng, Avy Soffer +1
In this paper, we consider the nonlinear Schrödinger equation, with . In this work, we consider the…
Instability of the solitary waves for the generalized Boussinesq equations
Bing Li, Masahito Ohta, Yifei Wu +1
In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\ma…
Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case
Zihua Guo, Cui Ning, Yifei Wu
We study the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrödinger equation $$ i\partial_{t}u+\partial_{x}^{2}u+i|u|^{2σ}\partial_x u=0.…