96 citations · 197 across the 12 of their papers we have counts for
14 papers
Suleimanov-Talanov self-focusing and the hierarchy of the focusing nonlinear Schrödinger equation
Robert J. Buckingham, Robert M. Jenkins, Peter D. Miller
We study the self-focusing of wave packets from the point of view of the semiclassical focusing nonlinear Schrödinger equation. A type of finite-time collapse/blowup of the solutio…
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Manuela Girotti, Tamara Grava, Robert Jenkins +2
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredh…
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…
Global Existence for the Derivative Nonlinear Schrödinger Equation with Arbitrary Spectral Singularities
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We show that the derivative nonlinear Schrödinger (DNLS) equation is globally well-posed in the weighted Sobolev space . Our result exploits the complete integ…
Global Well-Posesedness for the Derivative Nonlinear Schrodinger Equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger (DNLS). equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral sing…
Soliton Resolution for the Derivative Nonlinear Schrödinger Equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities). D…