64 citations · 126 across the 5 of their papers we have counts for
5 papers
Separatrix Map Analysis for Fractal Scatterings in Weak Interactions of Solitary Waves
Yi Zhu, Richard Haberman, Jianke Yang
Previous studies have shown that fractal scatterings in weak interactions of solitary waves in the generalized nonlinear Schrödinger equations are described by a universal second-o…
A Universal Map for Fractal Structures in Weak Solitary Wave Interactions
Yi Zhu, Richard Haberman, Jianke Yang
Fractal scatterings in weak solitary wave interactions is analyzed for generalized nonlinear Schrödiger equations (GNLS). Using asymptotic methods, these weak interactions are redu…
Chaotic Scattering and the -bounce Resonance in Solitary Wave Interactions
Roy H. Goodman, Richard Haberman
We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision…
Vector-soliton collision dynamics in nonlinear optical fibers
Roy H. Goodman, Richard Haberman
We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two polarization directions, described by a coupled pair of…
Interaction of sine-Gordon kinks with defects: The two-bounce resonance
Roy H. Goodman, Richard Haberman
A model of soliton-defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov theory is used to derive a critical velocity for strong…