Naumkin, Pavel I.Sanchez-Suarez, Isahi2021-10-082021-10-082020-07-22Naumkin, P. I., & Sánchez-Suárez, I. (2020). KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations. <i>Electronic Journal of Differential Equations, 2020</i>(77), pp. 1-34.1072-6691https://hdl.handle.net/10877/14618We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation i∂tu - α/3 |∂x|3u - b/4 ∂4xu = λi∂x(|u|2u), (t, x) ∈ ℝ⁺ x ℝ, u(0, x) = u0(x), x ∈ ℝ, where α, b > 0, |∂x|α = F-1|ξ|α F and F is the Fourier transformation. Our purpose is to study the large time behavior of the solutions under the non-zero mass condition ∫ u0(x)dx ≠ 0.Text34 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear Schrödinger equationLarge time asymptotic behaviorCritical nonlinearitySelf-similar solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.