Home
Publications
Other Writing
Talks
Teaching
Students
Collaborators
Posts
Contact
published
Nonlinear hydrodynamic phenomena in Stokes flow regime
We investigate nonlinear phenomena in dispersed two-phase systems under creeping-flow conditions. We consider nonlinear evolution of a …
Jerzy Bławzdziewicz
,
Roy Goodman
,
N. Khurana
,
E. Wajnryb
,
Yuan-Nan Young
PDF
Cite
Journal
Special Issue
Chaotic scattering in solitary wave interactions: A singular iterated-map description
We derive a family of singular iterated maps—closely related to Poincaré maps—that describe chaotic interactions between …
Roy Goodman
PDF
Cite
Journal
arXiv
Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
We investigate nonlinear phenomena in dispersed two-phase systems under creeping-flow conditions. We consider nonlinear evolution of a …
Yuan-Nan Young
,
Jerzy Bławzdziewicz
,
Vittorio Cristini
,
Roy Goodman
PDF
Cite
Journal
Stability and instability of nonlinear defect states in the coupled mode equations---analytical and numerical study
Coupled backward and forward wave amplitudes of an electromagnetic field propagating in a periodic and nonlinear medium at Bragg …
Roy Goodman
,
Michael Weinstein
PDF
Cite
Journal
arXiv
Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these …
Roy Goodman
,
Richard Haberman
PDF
Cite
Journal
arXiv
Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map
We provide a detailed mathematical explanation of a phenomenon known as the two-bounce resonance observed in collisions between kink …
Roy Goodman
,
Richard Haberman
PDF
Cite
Journal
Trapping light with grating defects
Gap solitons are localized traveling waves that exist in Bragg grating optical fibers. We demonstrate a family of grating defects that …
Roy Goodman
,
Richart Slusher
,
Michael Weinstein
,
Martin Klaus
PDF
Cite
Book
Vector soliton interactions in birefringent optical fibers
We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two …
Roy Goodman
,
Richard Haberman
PDF
Cite
Journal
arXiv
Interaction of sine-Gordon kinks with defects: The two-bounce resonance
A model of soliton–defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov …
Roy Goodman
,
Richard Haberman
PDF
Cite
Journal
arXiv
Strong NLS soliton--defect interactions
We consider the interaction of a nonlinear Schrödinger soliton with a spatially localized (point) defect in the medium through which it …
Roy Goodman
,
Phil Holmes
,
Michael Weinstein
PDF
Cite
Journal
arXiv
«
»
Cite
×