J. Dias

activity

20122026

most citedFinite-time blowup for a complex Ginzburg-Landau equation with linear driving

18 citations · 29 across the 7 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.AP2014★ 11 cited

Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations

João-Paulo Dias, Mário Figueira, Vladimir V. Konotop +1

We prove finite time supercritical blowup in a parity-time-symmetric system of the two coupled nonlinear Schrödinger (NLS) equations. One of the equations contains gain and the oth…

math.AP2014

Existence and linearized stability of solitary waves for a quasilinear Benney system

João-Paulo Dias, Mário Figueira, Filipe Oliveira

We prove the existence of solitary wave solutions to the quasilinear Benney system $i u_{t} + u_{xx} = a ∣ u ∣^{p} u + uv, v_{t} + f (v)_{x} = (∣ u ∣^{2})_{x}$ where $f (v) = - γ v^{3}$ , $- 1 < p < + \infty$ and $a…