7 citations · 13 across the 4 of their papers we have counts for
4 papers
Blowing Up Solutions to the Zakharov System for Langmuir Waves
Yuri Cher, Magdalena Czubak, Catherine Sulem
Langmuir waves take place in a quasi-neutral plasma and are modeled by the Zakharov system. The phenomenon of collapse, described by blowing up solutions plays a central role in th…
The Derivative Nonlinear Schrödinger Equation: Global Well-Posedness and Soliton Resolution
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We review recent results on global wellposedness and long-time behavior of smooth solutions to the derivative nonlinear Schrödinger (DNLS) equation. Using the integrable character…
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…
Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
Xiao Liu, Gideon Simpson, Catherine Sulem
We consider a derivative nonlinear Schrödinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability…