Browsing Bergen Open Research Archive by Author "Eychenne, Arnaud"
Now showing items 1-2 of 2
-
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), ... -
A study of different interactions between solitary waves for fractional Korteweg-de Vries type equations
Eychenne, Arnaud (Doctoral thesis, 2023-01-13)Denne avhandlingen er satt sammen av tre artikler. I den første konstruerer vi $N$-soliton løsninger for den fractional Korteweg-de Vries (fKdV) ligningen $\partial_t u - \partial_x\left(|D|^{\alpha}u - u^2 \right)=0,$ i ...