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math.AP2018
On decay properties and asymptotic behavior of solutions to a non-local perturbed KdV equation
Manuel Fernando Cortez, Oscar Jarrín
We consider the \emph{KdV} equation with an additional non-local perturbation term defined through the Hilbert transform, also known as the OST-equation. We prove that the solution…
math.AP2018
On the dynamics of zero-speed solutions for Camassa-Holm type equations
Miguel A. Alejo, Manuel F. Cortez, Chulkwang Kwak +1
In this paper we consider globally defined solutions of Camassa-Holm (CH) type equations outside the well-known nonzero speed, peakon region. These equations include the standard C…