Abstract:
The derivative nonlinear Schrodinger equation is solved by application of the Ablowitz-Ladik scheme to an equivalent equation. The variations of the results due to modifications in the spatial grid size and time step are analyzed. The scheme maintains the main properties of the original equation and allows the use of rather large time steps. © 1988.
Registro:
Documento: |
Artículo
|
Título: | Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation |
Autor: | Dawson, S.P.; Fontán, C.F. |
Filiación: | Instituto de Astronomia y Fisica del Espacio, cc 67, 1428 Buenos Aires, Argentina Programa de Investigaciones Teóricas y Experimentales en Física del Plasma, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Cuidad Universitaria, 1428 Buenos Aires, Argentina
|
Año: | 1988
|
Volumen: | 76
|
Número: | 1
|
Página de inicio: | 192
|
Página de fin: | 200
|
DOI: |
http://dx.doi.org/10.1016/0021-9991(88)90137-4 |
Título revista: | Journal of Computational Physics
|
Título revista abreviado: | J. Comput. Phys.
|
ISSN: | 00219991
|
CODEN: | JCTPA
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219991_v76_n1_p192_Dawson |
Referencias:
- Ablowitz, Ladik, Nonlinear differential−difference equations (1975) Journal of Mathematical Physics, 16, p. 598
- Ablowitz, Ladik, (1976) Stud. Appl. Math., 55, p. 213
- Ablowitz, Ladik, Nonlinear differential–difference equations and Fourier analysis (1976) Journal of Mathematical Physics, 17, p. 1011
- Ablowitz, Ladik, (1977) Stud. Appl. Math., 57, p. 1
- Ablowitz, Kaup, Newell, Segur, (1974) Stud. Appl. Math., 53, p. 255
- Taha, Ablowitz, (1984) J. Comput. Phys., 55, p. 192
- Taha, Ablowitz, (1984) J. Comput. Phys., 55, p. 203
- Taha, Ablowitz, (1984) J. Comput. Phys., 55, p. 231
- Kaup, Newell, An exact solution for a derivative nonlinear Schrödinger equation (1978) Journal of Mathematical Physics, 19, p. 798
- Spangler, Sheerin, Payne, (1985) Phys. Fluids, 28, p. 104
- Spangler, Nonlinear astrophysical Alfven waves - Onset and outcome of the modulational instability (1985) The Astrophysical Journal, 299, p. 122
Citas:
---------- APA ----------
Dawson, S.P. & Fontán, C.F.
(1988)
. Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation. Journal of Computational Physics, 76(1), 192-200.
http://dx.doi.org/10.1016/0021-9991(88)90137-4---------- CHICAGO ----------
Dawson, S.P., Fontán, C.F.
"Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation"
. Journal of Computational Physics 76, no. 1
(1988) : 192-200.
http://dx.doi.org/10.1016/0021-9991(88)90137-4---------- MLA ----------
Dawson, S.P., Fontán, C.F.
"Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation"
. Journal of Computational Physics, vol. 76, no. 1, 1988, pp. 192-200.
http://dx.doi.org/10.1016/0021-9991(88)90137-4---------- VANCOUVER ----------
Dawson, S.P., Fontán, C.F. Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation. J. Comput. Phys. 1988;76(1):192-200.
http://dx.doi.org/10.1016/0021-9991(88)90137-4