Citation: |
[1] |
W. K. Abou Salem, Solitary wave dynamics in time-dependent potentials, J. Math. Phys., 49 (2008), 032101.doi: 10.1063/1.2837429. |
[2] |
W. K. Abou Salem, Effective dynamics of solitons in the presence of rough nonlinear perturbations, Nonlinearity, 22 (2009), 747-763.doi: 10.1088/0951-7715/22/4/004. |
[3] |
W. K. Abou Salem, J. Fröhlich and I. M. Sigal, Colliding solitons for the nonlinear Schrödinger equation, Commun. Math. Phys., 291 (2009), 151-176.doi: 10.1007/s00220-009-0871-8. |
[4] |
W. K. Abou Salem and C. Sulem, Resonant tunneling of fast solitons through large potential barriers, to appear in Canad. J. Math., (2010). |
[5] |
G. D. Akrivis, V. A. Dougalis and O. A. Karakashian, On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation, Numerische Mathematik, 59 (1991), 31-53.doi: 10.1007/BF01385769. |
[6] |
G. D. Akrivis, V. A. Dougalis, O. A. Karakashian and W. R. McKinney, Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schrödinger equation, SIAM J. Sci. Comput., 25 (2003), 186-212.doi: 10.1137/S1064827597332041. |
[7] |
J. C. Bronski and R. L. Jerrard, Soliton dynamics in a potential, Math. Res. Lett., 7 (2000), 329-342. |
[8] |
J. Fröhlich, S. Gustafson, B. L. G. Jonsson and I. M. Sigal, Solitary wave dynamics in an external potential, Commun. Math. Phys., 250 (2004), 613-642.doi: 10.1007/s00220-004-1128-1. |
[9] |
J. Holmer and M. Zworski, Slow soliton interaction with delta impurities, J. Modern Dynamics, 1 (2007), 689-718. |
[10] |
J. Holmer and M. Zworski, Soliton interaction with slowly varying potentials, IMRN, (2008), ArtID 026, 36pp. |
[11] |
J. Holmer, J. Marzuola and M. Zworski, Fast soliton scattering by delta impurities, Commun. Math. Phys., 274 (2007), 187-216.doi: 10.1007/s00220-007-0261-z. |
[12] |
J. Holmer, J. Marzuola and M. Zworski, Soliton splitting by external delta potentials, Journal of Nonlinear Science, 17 (2007), 349-367.doi: 10.1007/s00332-006-0807-9. |