8 citations · 12 across the 3 of their papers we have counts for
6 papers
Soliton resolution for the modified KdV equation
Gong Chen, Jiaqi Liu
The soliton resolution for the focusing modified Korteweg-de vries (mKdV) equation is established for initial conditions in some weighted Sobolev spaces. Our approach is based on t…
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…
-Sobolev space bijectivity of the inverse scattering of a AKNS system
Jiaqi Liu
We study the -Sobolev space bijectivity of the direct and inverse scattering of the AKNS system associated to the Manakov system and Sasa-Satsuma equation. We esta…
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…
Global Well-posedness and soliton resolution for the Derivative Nonlinear Schrödinger equation
Robert Jenkins, Jiaqi Liu, Peter Perry +1
We study the Derivative Nonlinear Schrödinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but excluding spectral singularit…