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Abstract:

A previous treatment that holds for the Kortewegde Vries equation is extended to cover the case of nonlinear integrable equations associated with the standard Zakharov-Shabat eigenvalue problem that has a complex discrete spectrum. Particularly, an analytical expression for the distribution function of solitons as a functional of the initial conditions is found. This distribution function gives the correct values of the infinite set of constants of motion and leads to a large number of conclusions that agree with previous numerical and analytical results. Special emphasis is given to a comparison of these results in the case of the derivative nonlinear Schrödinger equation. The distribution function is particularly useful for the statistical description of the nonlinear equations involved in the formalism (such as the nonlinear Schrödinger or the derivative nonlinear Schrödinger equations) when an ensemble of initial conditions is considered. © 1989 The American Physical Society.

Registro:

Documento: Artículo
Título:Distribution of solitons from nonlinear integrable equations
Autor:Ponce Dawson, S.; Ferro Fontn, C.
Filiación:Instituto de Astronomiiaaa Y Fiiaasica del Espacio, Casilla de Correo 67, Sucursal 28, (1428) Buenos Aires, Argentina
Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Año:1989
Volumen:39
Número:10
Página de inicio:5289
Página de fin:5298
DOI: http://dx.doi.org/10.1103/PhysRevA.39.5289
Título revista:Physical Review A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v39_n10_p5289_PonceDawson

Referencias:

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Citas:

---------- APA ----------
Ponce Dawson, S. & Ferro Fontn, C. (1989) . Distribution of solitons from nonlinear integrable equations. Physical Review A, 39(10), 5289-5298.
http://dx.doi.org/10.1103/PhysRevA.39.5289
---------- CHICAGO ----------
Ponce Dawson, S., Ferro Fontn, C. "Distribution of solitons from nonlinear integrable equations" . Physical Review A 39, no. 10 (1989) : 5289-5298.
http://dx.doi.org/10.1103/PhysRevA.39.5289
---------- MLA ----------
Ponce Dawson, S., Ferro Fontn, C. "Distribution of solitons from nonlinear integrable equations" . Physical Review A, vol. 39, no. 10, 1989, pp. 5289-5298.
http://dx.doi.org/10.1103/PhysRevA.39.5289
---------- VANCOUVER ----------
Ponce Dawson, S., Ferro Fontn, C. Distribution of solitons from nonlinear integrable equations. 1989;39(10):5289-5298.
http://dx.doi.org/10.1103/PhysRevA.39.5289