INVESTIGADORES
PONCE DAWSON Silvina Martha
artículos
Título:
Distribution of Solitons from Nonlinear Integrable Equations
Autor/es:
PONCE DAWSON, SILVINA; FERRO FONTAN, CONSTANTINO
Revista:
PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS
Editorial:
AMER PHYSICAL SOC
Referencias:
Año: 1989 vol. 39 p. 5289 - 5298
ISSN:
1050-2947
Resumen:
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.