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Resonant Tunneling of Fast Solitons through Large Potential Barriers
  Published:2011-05-13
 Printed: Dec 2011
Canadian Journal of Mathematics
  • Walid K. Abou Salem,
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2
  • Catherine Sulem,
    Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4
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Abstract

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: nonlinear Schroedinger equations, external potential, solitary waves, long time behavior, resonant tunneling nonlinear Schroedinger equations, external potential, solitary waves, long time behavior, resonant tunneling
MSC Classifications: 37K40, 35Q55, 35Q51 show english descriptions Soliton theory, asymptotic behavior of solutions
NLS-like equations (nonlinear Schrodinger) [See also 37K10]
Soliton-like equations [See also 37K40] 37K40 - Soliton theory, asymptotic behavior of solutions
35Q55 - NLS-like equations (nonlinear Schrodinger) [See also 37K10]
35Q51 - Soliton-like equations [See also 37K40]
 
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