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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