5 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Large deviations principle for the cubic NLS equation
Miguel Angel Garrido, Ricardo Grande, Kristin M. Kurianski +1
In this paper, we present a probabilistic study of rare phenomena of the cubic nonlinear Schrödinger equation on the torus in a weakly nonlinear setting. This equation has been use…
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…
Continuum limit for discrete NLS with memory effect
Ricardo Grande
We consider a discrete nonlinear Schrödinger equation with long-range interactions and a memory effect on the infinite lattice with mesh-size . Such models are common in…
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…