Enhanced existence time of solutions to the fractional Korteweg-de Vries equation

Mats Ehrnström, Yuexun Wang

We consider the fractional Korteweg-de Vries equation $u_t+u{u}_x-|D{|}^{\alpha }{u}_x=0$ in the range of $-1<\alpha <1$ , $\alpha \ne 0$. Using basic Fourier techniques in combination with the modif…