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math.AP2017
Stability of KdV solitons on the half-line
Márcio Cavalcante, Claudio Muñoz
In this paper we study the stability problem for KdV solitons on the left and right half-line. Unlike standard KdV, these are not exact solutions to the equations posed in the half…
math.AP2017★ 29 cited
The Korteweg-de Vries equation on a metric star graph
Márcio Cavalcante
We prove local well-posedness for the Cauchy problem associated to Korteweg-de Vries equation on a metric star graph with three semi-infinite edges given by one negative half-line…