16 citations · 16 across the 2 of their papers we have counts for
2 papers
nlin.SI2010
On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
Peter D. Miller, Zhengjie Xu
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by develop…
patt-sol1999★ 16 cited
Soliton Interactions in Perturbed Nonlinear Schroedinger Equations
James A. Besley, Peter D. Miller, Nail N. Akhmediev
We use multiscale perturbation theory in conjunction with the inverse scattering transform to study the interaction of a number of solitons of the cubic nonlinear Schroedinger equa…