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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
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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
,
Philip Holmes
,
Michael Weinstein
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Journal
arXiv
Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model
We study a model derived by Fei et al. [Phys. Rev. A 45 (1992) 6019] of a kink solution to the sine-Gordon equation interacting with an …
Roy Goodman
,
Philip Holmes
,
Michael Weinstein
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Stopping Light on a Defect
Gap solitons are localized nonlinear coherent states that have been shown both theoretically and experimentally to propagate in …
Roy Goodman
,
Richart Slusher
,
Michael Weinstein
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Journal
arXiv
Trapping of kinks and solitons by defects: phase space transport in finite-dimensional models
We study models of Fei et al. and of Forinash et al of kinks in the sine-Gordon equation, and solitons in the nonlinear Schrodinger …
Philip Holmes
,
Roy Goodman
,
Michael Weinstein
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Modulations in the leading edges of midlatitude storm tracks
Downstream development is a term encompassinga variety of effects relating to the propagation of storm systems at midlatitude. We …
Roy Goodman
,
Andrew Majda
,
David McLaughlin
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Nonlinear propagation of light in one-dimensional periodic structures
We consider the nonlinear propagation of light in an optical fiber waveguide as modeled by the anharmonic Maxwell-Lorentz equations …
Roy Goodman
,
Michael Weinstein
,
Philip Holmes
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Journal
arXiv
Trigger Waves in a Model for Catalysis
We consider the model of catalysis due to Ziff, Gulari, and Barshad [Phys Rev. Lett. 56, 2553 (1986)] as a pattern formation problem. …
Roy Goodman
,
David Graff
,
Leonard Sander
,
Patrick Leroux-Hugon
,
Eric Clement
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