The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces

Abstract

We study the persistence property of the solution for the nonlinear Schrödinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x{|}^{2m}dx)$, $0<m\le 1/8$, via the contraction principle.

arXiv comment14 pages

References in corpus (1)

• On decay properties of solutions of the $k$-generalized KdV equations

Cited by in corpus (1)

• A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces