KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations
| dc.contributor.author | Naumkin, Pavel I. | |
| dc.contributor.author | Sanchez-Suarez, Isahi | |
| dc.date.accessioned | 2021-10-08T17:44:34Z | |
| dc.date.available | 2021-10-08T17:44:34Z | |
| dc.date.issued | 2020-07-22 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 34 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Naumkin, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14618 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear Schrödinger equation | |
| dc.subject | Large time asymptotic behavior | |
| dc.subject | Critical nonlinearity | |
| dc.subject | Self-similar solutions | |
| dc.title | KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations | |
| dc.type | Article |