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math.AP2018
Dispersive blow-up and persistence properties for the Schrödinger-Korteweg-de Vries system
Felipe Linares, Jose Manuel Palacios
We study the dispersive blow-up phenomena for the Schrödinger-Korteweg-de Vries (S-KdV) system. Roughly, dispersive blow-up has being called to the development of point singulariti…
math.AP2018
Nonlinear stability of 2-solitons of the Sine-Gordon equation in the energy space
Claudio Muñoz, José M. Palacios
In this article we prove that 2-soliton solutions of the sine-Gordon equation (SG) are orbitally stable in the natural energy space of the problem. The solutions that we study are…