Orbital stability of numerical periodic nonlinear Schrödinger equation
This work is devoted to the study of the system that arises by discretization of the periodic nonlinear Schrödinger equation in dimension one. We study the existence of the discrete ground states for this system and their stability property when the potential parameter σ is small enough: i.e., if th...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15396746_v6_n1_p149_Borgna |
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todo:paper_15396746_v6_n1_p149_Borgna2023-10-03T16:22:54Z Orbital stability of numerical periodic nonlinear Schrödinger equation Borgna, J.P. Rial, D.F. Ground states Numerical periodic nonlinear Schrödinger equation Orbital stability This work is devoted to the study of the system that arises by discretization of the periodic nonlinear Schrödinger equation in dimension one. We study the existence of the discrete ground states for this system and their stability property when the potential parameter σ is small enough: i.e., if the initial data are close to the ground state, the solution of the system will remain near to the orbit of the discrete ground state forever. This stability property is an appropriate tool for proving the convergence of the numerical method. © 2008 International Press. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15396746_v6_n1_p149_Borgna |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Ground states Numerical periodic nonlinear Schrödinger equation Orbital stability |
| spellingShingle |
Ground states Numerical periodic nonlinear Schrödinger equation Orbital stability Borgna, J.P. Rial, D.F. Orbital stability of numerical periodic nonlinear Schrödinger equation |
| topic_facet |
Ground states Numerical periodic nonlinear Schrödinger equation Orbital stability |
| description |
This work is devoted to the study of the system that arises by discretization of the periodic nonlinear Schrödinger equation in dimension one. We study the existence of the discrete ground states for this system and their stability property when the potential parameter σ is small enough: i.e., if the initial data are close to the ground state, the solution of the system will remain near to the orbit of the discrete ground state forever. This stability property is an appropriate tool for proving the convergence of the numerical method. © 2008 International Press. |
| format |
JOUR |
| author |
Borgna, J.P. Rial, D.F. |
| author_facet |
Borgna, J.P. Rial, D.F. |
| author_sort |
Borgna, J.P. |
| title |
Orbital stability of numerical periodic nonlinear Schrödinger equation |
| title_short |
Orbital stability of numerical periodic nonlinear Schrödinger equation |
| title_full |
Orbital stability of numerical periodic nonlinear Schrödinger equation |
| title_fullStr |
Orbital stability of numerical periodic nonlinear Schrödinger equation |
| title_full_unstemmed |
Orbital stability of numerical periodic nonlinear Schrödinger equation |
| title_sort |
orbital stability of numerical periodic nonlinear schrödinger equation |
| url |
http://hdl.handle.net/20.500.12110/paper_15396746_v6_n1_p149_Borgna |
| work_keys_str_mv |
AT borgnajp orbitalstabilityofnumericalperiodicnonlinearschrodingerequation AT rialdf orbitalstabilityofnumericalperiodicnonlinearschrodingerequation |
| _version_ |
1782027102514577408 |