4 citations · 8 across the 4 of their papers we have counts for
4 papers
On pulse broadening for optical solitons
H. J. S. Dorren, J. J. B. van den Heuvel
Pulse broadening for optical solitons due to birefringence is investigated. We present an analytical solution which describes the propagation of solitons in birefringent optical fi…
A novel approach to estimate the stability of one-dimensional quantum inverse scattering
H. J. S. Dorren
We present a novel method to estimate the stability of the Marchenko equation for finite data-sets. We show that we can derive a recursion relationship for the Fourier expansion co…
On the integrability of nonlinear partial differential equations
H. J. S. Dorren
We investigate the integrability of Nonlinear Partial Differential Equations (NPDEs). The concepts are developed by firstly discussing the integrability of the KdV equation. We pro…
A stability analysis for the Korteweg-de Vries equation
H. J. S. Dorren, R. K. Snieder
In this paper the stability of the Korteweg-de Vries (KdV) equation is investigated. It is shown analytically and numerically that small perturbations of solutions of the KdV-equat…