On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation

Persistence problems in weighted spaces have been studied for different dispersive models involving non-local operators. Generally, these do not propagate polynomial weights of arbitrary magnitude, and the maximum decay rate is associated with part equation. Altogether, this analysis complemented by unique continuation principles that determine optimal spatial decay. This work intended to establish above questions a weakly perturbation inviscid Burgers More precisely, we consider fractional Korteweg-de Vries equation, which comprises Burgers-Hilbert equation effects weaker than those Benjamin-ono