Original scientific paper
On the structure of scattering data and nonlinear field in the continuous spectrum for the derivative nonlinear Schrödinger equation
Asesh Roy Chowdhury Chowdhury
; High Energy Physics Division, Department of Physics, Jadavpur University, Calcuta - 700032, India
Minati Naskar
; High Energy Physics Division, Department of Physics, Jadavpur University, Calcuta - 700032, India
Abstract
Contrary to the usual procedure of obtaining the nonlinear field in the continuous spectrum we have first determined the explicit structure of the transmission and reflection coefficients from the space part of the IST equation itself. These explicit structures were then used in the Gelfand-Levitan equation to ascertain the oscillatory and similar behaviour of the nonlinear field variable q (x, t). Our methodology is elaborated with derivative nonlinear Schrödinger equation as an example, but the procedure is quite general to be applied to any eigenvalue problem.
Keywords
Hrčak ID:
329871
URI
Publication date:
3.12.1985.
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