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Resonant Tunneling of Fast Solitons through Large Potential Barriers

Published online by Cambridge University Press:  20 November 2018

Walid K. Abou Salem  and
Catherine Sulem
Walid K. Abou Salem
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2 email: abousalem@math.usask.ca
Catherine Sulem
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4 email: sulem@math.utoronto.ca
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Abstract

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We rigorously study the resonant tunneling of fast solitons through large potential barriers for the nonlinear Schrödinger equation in one dimension. Our approach covers the case of general nonlinearities, both local and Hartree (nonlocal).

Keywords

37K4035Q5535Q51nonlinear Schroedinger equationsexternal potentialsolitary waveslong time behaviorresonant tunneling
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 6 , 01 December 2011 , pp. 1201 - 1219
Copyright
Copyright © Canadian Mathematical Society 2011

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