A Direct Construction of Solitary Waves for a Fractional Korteweg-de Vries Equation With an Inhomogeneous Symbol

Swati Yadav, Jun Xue

We construct solitary waves for the fractional Korteweg-De Vries type equation $u_t+({\Lambda }^{-s}u+u^2{)}_x=0$, where ${\Lambda }^{-s}$ denotes the Bessel potential operator $(1 + |D|^2)^{-\f…