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20162026
most citedExistence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity

45 citations · 148 across the 22 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 25 cited

Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction

Alex H. Ardila

We study the existence and stability of standing waves solutions of a three-coupled nonlinear Schrödinger system related to the Raman amplification in a plasma. By means of the con…

math.AP2017

Gausson dynamics for logarithmic Schrödinger equations

Alex H. Ardila, Marco Squassina

In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schrödinger equation in presence of a smooth external potential.

math.AP2017★ 45 cited

Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity

Alex Hernandez Ardila

In this paper we consider the nonlinear fractional logarithmic Schrödinger equation. By using a compactness method, we construct a unique global solution of the associated Cauchy p…