Asymptotic $N$-soliton-like solutions of the fractional Korteweg-de Vries equation

Arnaud Eychenne

We construct $N$-soliton solutions for the fractional Korteweg-de Vries (fKdV) equation $${\partial }_{t}u-{\partial }_x\left(|D{|}^{\alpha }u-u^2\right)=0,$$ in the whole sub-critical range…