Artículo
Borgna, J.P.; Rial, D.F. "Orbital stability of numerical periodic nonlinear Schrödinger equation" (2008) Communications in Mathematical Sciences. 6(1):149-169
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Orbital stability of numerical periodic nonlinear Schrödinger equation |
| Autor: | Borgna, J.P.; Rial, D.F. |
| Filiación: | Departamento de Matematica, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Ground states; Numerical periodic nonlinear Schrödinger equation; Orbital stability |
| Año: | 2008 |
| Volumen: | 6 |
| Número: | 1 |
| Página de inicio: | 149 |
| Página de fin: | 169 |
| DOI: | http://dx.doi.org/10.4310/CMS.2008.v6.n1.a7 |
| Título revista: | Communications in Mathematical Sciences |
| Título revista abreviado: | Commun. Math. Sci. |
| ISSN: | 15396746 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v6_n1_p149_Borgna |
Citas:
---------- APA ----------
Borgna, J.P. & Rial, D.F. (2008) . Orbital stability of numerical periodic nonlinear Schrödinger equation. Communications in Mathematical Sciences, 6(1), 149-169.http://dx.doi.org/10.4310/CMS.2008.v6.n1.a7
---------- CHICAGO ----------
Borgna, J.P., Rial, D.F. "Orbital stability of numerical periodic nonlinear Schrödinger equation" . Communications in Mathematical Sciences 6, no. 1 (2008) : 149-169.http://dx.doi.org/10.4310/CMS.2008.v6.n1.a7
---------- MLA ----------
Borgna, J.P., Rial, D.F. "Orbital stability of numerical periodic nonlinear Schrödinger equation" . Communications in Mathematical Sciences, vol. 6, no. 1, 2008, pp. 149-169.http://dx.doi.org/10.4310/CMS.2008.v6.n1.a7
---------- VANCOUVER ----------
Borgna, J.P., Rial, D.F. Orbital stability of numerical periodic nonlinear Schrödinger equation. Commun. Math. Sci. 2008;6(1):149-169.http://dx.doi.org/10.4310/CMS.2008.v6.n1.a7
