id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-493	Naumkin, Pavel I.; Sanchez-Suarez, Isahi	KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations	2020	34	.pdf	application/pdf	12100	813	91	Let the weights P ∈ C1(R \ 0) and Q ∈ C2(R \ 0) be such that ∂kηP (η) = O(|η|α1−k), k = 0, 1, and ∂kξQ(ξ) = O(|ξ|α2−k), k = 0, 1, 2. Suppose that 8 P. I. NAUMKIN, I. SÁNCHEZ-SUÁREZ EJDE-2020/77 h(ξ) ∈ C4(R \ 0) is such that |∂kξ h(ξ)| ≤ C|ξ|α3−k for ξ ∈ R \ 0, 0 ≤ k ≤ 4. |ξ̂|6〈ξ̂〉−6 iξ Λ′′(ξ) |ϕ̂|2ϕ̂+O(|ξ̂|〈ξ̂〉−−1−ν‖ϕ̂‖3Y ) holds for all t ≥ 1 and ξ ∈ R, where ϕ̂(t) = FU(−t)u(t), ν > 0 is small.	cache/ejde-493.pdf	txt/ejde-493.txt