64 citations · 126 across the 5 of their papers we have counts for
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nlin.PS2007★ 10 cited
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…
nlin.PS2005★ 33 cited
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…
nlin.PS2003★ 64 cited
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…