A decay property of solutions to the k-generalized KdV equation

Abstract

We use a Leibnitz rule type inequality for fractional derivatives to prove conditions under which a solution $u(x,t)$ of the k-generalized KdV equation is in the space $L^2(|x{|}^{2s}dx)$ for $s\in {\mathbb{R}}_{+}$.

References in corpus (1)

• Ion-Acoustic Solitons in Bi-Ion Dusty Plasma