Blar i Bergen Open Research Archive på forfatter "Valet, Frederic Fernand Jacques"

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    • Decay of solitary waves of fractional Korteweg-de Vries type equations 

      Eychenne, Arnaud; Valet, Frederic Fernand Jacques (Journal article; Peer reviewed, 2023)
      We study the solitary waves of fractional Korteweg-de Vries type equations, that are related to the 1- dimensional semi-linear fractional equations: |D|αu + u − f (u) = 0, with α ∈ (0, 2), a prescribed coefficient p∗(α), ...

    • Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation 

      Eychenne, Arnaud; Valet, Frederic Fernand Jacques (Journal article; Peer reviewed, 2023)
      We study one particular asymptotic behaviour of a solution of the fractional modified Korteweg-de Vries equation (also known as the dispersion generalised modified Benjamin-Ono equation): ∂tu + ∂x(−|D|αu + u3) = 0. The ...