96 citations · 199 across the 24 of their papers we have counts for
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math.AP2015★ 10 cited
Global Existence for the Derivative Nonlinear Schrodinger Equation by the Method of Inverse Scattering
Jiaqi Liu, Peter Perry, Catherine Sulem
We develop inverse scattering for the derivative nonlinear Schrodinger equation (DNLS) on the line using its gauge equivalence with a related nonlinear dispersive equation. We prov…
math.AP2015
Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering
Michael Music, Peter A. Perry
Using the inverse scattering method, we construct global solutions to the Novikov-Veselov equation for real-valued decaying initial data q with the property that the associated Sch…