A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations
| dc.contributor.author | Lou, Zhaowei | |
| dc.contributor.author | Sun, Yingnan | |
| dc.date.accessioned | 2023-05-15T18:17:39Z | |
| dc.date.available | 2023-05-15T18:17:39Z | |
| dc.date.issued | 2022-10-10 | |
| dc.description.abstract | In this article we prove an abstract Kolmogorov-Arnold-Moser (KAM) theorem for infinite dimensional reversible systems. Using this theorem, we obtain the existence of quasi-periodic solutions for a class of reversible (non-Hamiltonian) coupled nonlinear Schrödinger systems on a d-torus. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lou, Z., & Sun, Y. (2022). A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2022</i>(69), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16793 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | KAM theorem | |
| dc.subject | Reversible vector field | |
| dc.subject | Quasi-periodic solution | |
| dc.subject | Nonlinear Schrödinger equation | |
| dc.title | A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations | |
| dc.type | Article |