2 papers
math.AP2020
On the nonlinear Dysthe equation
Ricardo Grande, Kristin M. Kurianski, Gigliola Staffilani
This work is dedicated to putting on a solid analytic ground the theory of local well-posedness for the two dimensional Dysthe equation. This equation can be derived from the incom…
math.AP2018
Space-time fractional NLS equation
Ricardo Grande
In this paper we prove local well-posedness of a space-time fractional generalization of the nonlinear Schrödinger equation with a power-type nonlinearity. The linear equation coin…