Resonant Tunneling of Fast Solitons through Large Potential Barriers
Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1201-1219

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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).
DOI : 10.4153/CJM-2011-029-6
Mots-clés : 37K40, 35Q55, 35Q51, nonlinear Schroedinger equations, external potential, solitary waves, long time behavior, resonant tunneling
Salem, Walid K. Abou; Sulem, Catherine. Resonant Tunneling of Fast Solitons through Large Potential Barriers. Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1201-1219. doi: 10.4153/CJM-2011-029-6
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     author = {Salem, Walid K. Abou and Sulem, Catherine},
     title = {Resonant {Tunneling} of {Fast} {Solitons} through {Large} {Potential} {Barriers}},
     journal = {Canadian journal of mathematics},
     pages = {1201--1219},
     year = {2011},
     volume = {63},
     number = {6},
     doi = {10.4153/CJM-2011-029-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-029-6/}
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