Jiaqi Liu

activity

20152023

most citedSoliton Resolution for the Derivative Nonlinear Schrödinger Equation

96 citations · 181 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.AP2018★ 7 cited

$L^{2}$ -Sobolev space bijectivity of the inverse scattering of a $3 \times 3$ AKNS system

Jiaqi Liu

We study the $L^{2}$ -Sobolev space bijectivity of the direct and inverse scattering of the $3 \times 3$ AKNS system associated to the Manakov system and Sasa-Satsuma equation. We esta…

math.AP2018★ 24 cited

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 $H^{2, 2} (R)$ . Our result exploits the complete integ…

L2-Sobolev space bijectivity of the inverse scattering of a 3×3 AKNS system

Global Existence for the Derivative Nonlinear Schrödinger Equation with Arbitrary Spectral Singularities

$L^{2}$ -Sobolev space bijectivity of the inverse scattering of a $3 \times 3$ AKNS system