-
1
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
V. E. Zakharov and A. B. Shabat, " Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media., " Sov. Phys. JETP 34, 62 (1972).
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
3
-
-
0005131277
-
-
edited by L.Vázquez, L.Streit, and V. M.Ṕrez-García (World Scientific, Singapore
-
Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications, edited by, L. Vázquez, L. Streit, and, V. M. Ṕrez-García, (World Scientific, Singapore, 1996).
-
(1996)
Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications
-
-
-
5
-
-
0342647291
-
Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension
-
G. Fibich and G. Papanicolaou, " Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension., " SIAM J. Appl. Math. 60, 183 (1999).
-
(1999)
SIAM J. Appl. Math.
, vol.60
, pp. 183
-
-
Fibich, G.1
Papanicolaou, G.2
-
6
-
-
0041473959
-
Nonlinear Scrödinger equations and sharp interpolation estimates
-
M. I. Weinstein, " Nonlinear Scrödinger equations and sharp interpolation estimates., " Commun. Math. Phys. 87, 567 (1983).
-
(1983)
Commun. Math. Phys.
, vol.87
, pp. 567
-
-
Weinstein, M.I.1
-
7
-
-
0000312138
-
Self-guiding light in layered nonlinear media
-
L. Berge, V. K. Mezentsev, J. J. Rasmussen, P. L. Christiansen, and Y. B. Gaididei, " Self-guiding light in layered nonlinear media., " Opt. Lett. 25, 1037 (2000).
-
(2000)
Opt. Lett.
, vol.25
, pp. 1037
-
-
Berge, L.1
Mezentsev, V.K.2
Rasmussen, J.J.3
Christiansen, P.L.4
Gaididei, Y.B.5
-
8
-
-
0000458417
-
Stable (2+1) -dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity
-
I. Towers and B. A. Malomed, " Stable (2+1) -dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity., " J. Opt. Soc. Am. B 19, 537 (2002).
-
(2002)
J. Opt. Soc. Am. B
, vol.19
, pp. 537
-
-
Towers, I.1
Malomed, B.A.2
-
9
-
-
0008862160
-
Stable propagation and all-optical switching in planar waveguide-antiwaveguide periodic structures
-
A. Kaplan, B. V. Gisin, and B. A. Malomed, " Stable propagation and all-optical switching in planar waveguide-antiwaveguide periodic structures., " J. Opt. Soc. Am. B 19, 522 (2002).
-
(2002)
J. Opt. Soc. Am. B
, vol.19
, pp. 522
-
-
Kaplan, A.1
Gisin, B.V.2
Malomed, B.A.3
-
10
-
-
0037473892
-
Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate
-
H. Saito and M. Ueda, " Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate., " Phys. Rev. Lett. 90, 040403 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 040403
-
-
Saito, H.1
Ueda, M.2
-
11
-
-
0037242035
-
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
-
F. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, " Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length., " Phys. Rev. A 67, 013605 (2003).
-
(2003)
Phys. Rev. A
, vol.67
, pp. 013605
-
-
Abdullaev, F.1
Caputo, J.G.2
Kraenkel, R.A.3
Malomed, B.A.4
-
12
-
-
85066920061
-
Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: Matter-wave breathers
-
G. D. Montesinos, V. M. Ṕrez-García, and P. Torres, " Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: Matter-wave breathers., " Physica D 191, 193210 (2004).
-
(2004)
Physica D
, vol.191
, pp. 193210
-
-
Montesinos, G.D.1
Ṕrez-García, V.M.2
Torres, P.3
-
13
-
-
84958285692
-
-
arxiv.orgnlin.PS0312020, Math. Comput. Simulat. (to be published).
-
G. D. Montesinos and V. M. Ṕrez-García, e-print arxiv.orgnlin.PS0312020, Math. Comput. Simulat. (to be published).
-
-
-
Montesinos, G.D.1
Ṕrez-García, V.M.2
-
14
-
-
41349083500
-
Stabilized vortices in layered Kerr media
-
G. D. Montesinos, V. M. Ṕrez-García, H. Michinel, and J. R. Salgueiro, " Stabilized vortices in layered Kerr media., " Phys. Rev. E 71, 036624 (2005).
-
(2005)
Phys. Rev. E
, vol.71
, pp. 036624
-
-
Montesinos, G.D.1
Ṕrez-García, V.M.2
Michinel, H.3
Salgueiro, J.R.4
-
15
-
-
0000763166
-
On the theory of two-dimensional stationary self-focusing of electromagnetic waves
-
S. V. Manakov, " On the theory of two-dimensional stationary self-focusing of electromagnetic waves., " Sov. Phys. JETP 38, 248 (1974).
-
(1974)
Sov. Phys. JETP
, vol.38
, pp. 248
-
-
Manakov, S.V.1
-
16
-
-
0037864529
-
Exact soliton solutions of coupled nonlinear Schrodinger equations: Shape-changing collisions, logic gates, and partially coherent solitons
-
T. Kanna and M. Lakshmanan, " Exact soliton solutions of coupled nonlinear Schrodinger equations: Shape-changing collisions, logic gates, and partially coherent solitons., " Phys. Rev. E 67, 046617 (2003).
-
(2003)
Phys. Rev. E
, vol.67
, pp. 046617
-
-
Kanna, T.1
Lakshmanan, M.2
-
17
-
-
0000781489
-
Dynamics of component separation in a binary mixture of Bose-Einstein condensates
-
D. S. Hall, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, " Dynamics of component separation in a binary mixture of Bose-Einstein condensates., " Phys. Rev. Lett. 81, 1539 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 1539
-
-
Hall, D.S.1
Matthews, M.R.2
Ensher, J.R.3
Wieman, C.E.4
Cornell, E.A.5
-
18
-
-
0032474002
-
Bose-Einstein condensates-Superfluids mixing it up
-
B. D. Esry and C. H. Greene, " Bose-Einstein condensates-Superfluids mixing it up., " Nature (London) 392, 434 (1998).
-
(1998)
Nature (London)
, vol.392
, pp. 434
-
-
Esry, B.D.1
Greene, C.H.2
-
19
-
-
2342636920
-
Stabilized two-dimensional vector solitons
-
G. D. Montesinos, V. M. Ṕrez-García, and H. Michinel, " Stabilized two-dimensional vector solitons., " Phys. Rev. Lett. 92, 133901 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 133901
-
-
Montesinos, G.D.1
Ṕrez-García, V.M.2
Michinel, H.3
-
21
-
-
8744309907
-
Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations
-
G. Perelman, " Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations., " Commun. Partial Differ. Equ. 29 (7-8), A051 (2004).
-
(2004)
Commun. Partial Differ. Equ.
, vol.29
, pp. 051
-
-
Perelman, G.1
-
22
-
-
1842736760
-
Self-similar solutions and collective coordinate methods for nonlinear Schrodinger equations
-
V. M. Ṕrez-García, " Self-similar solutions and collective coordinate methods for nonlinear Schrodinger equations., " Physica D 191, 211 (2004).
-
(2004)
Physica D
, vol.191
, pp. 211
-
-
Ṕrez-García, V.M.1
-
23
-
-
0002582540
-
-
For a review, see B. A. Malomed, Prog. Opt. 43, 69 (2002).
-
(2002)
Prog. Opt.
, vol.43
, pp. 69
-
-
Malomed, B.A.1
-
24
-
-
0000827292
-
Solving the time-dependent Schrodinger equation: Suppression of reflection from the grid boundary with a filtered split-operator approach
-
P. Tran, " Solving the time-dependent Schrodinger equation: Suppression of reflection from the grid boundary with a filtered split-operator approach., " Phys. Rev. E 58, 8049 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 8049
-
-
Tran, P.1
-
25
-
-
0033295857
-
Absorbing boundary conditions for the Schrödinger equation
-
T. Fevens and H. Jiang, " Absorbing boundary conditions for the Schrödinger equation., " SIAM J. Comput. 21, 255 (1999).
-
(1999)
SIAM J. Comput.
, vol.21
, pp. 255
-
-
Fevens, T.1
Jiang, H.2
-
26
-
-
37649028189
-
Multidimensional solitons in a low-dimensional periodic potential
-
B. B. Baizakov, B. A. Malomed, and M. Salerno, " Multidimensional solitons in a low-dimensional periodic potential., " Phys. Rev. A 70, 053613 (2004).
-
(2004)
Phys. Rev. A
, vol.70
, pp. 053613
-
-
Baizakov, B.B.1
Malomed, B.A.2
Salerno, M.3
-
28
-
-
0000763419
-
Potential of interaction between two- and three-dimensional solitons
-
B. A. Malomed, " Potential of interaction between two- and three-dimensional solitons., " Phys. Rev. A 58, 7928 (1998).
-
(1998)
Phys. Rev. A
, vol.58
, pp. 7928
-
-
Malomed, B.A.1
-
29
-
-
0042781044
-
A potential of incoherent attraction between multidimensional solitons
-
A. Maimistov, B. Malomed, and A. Desyatnikov, " A potential of incoherent attraction between multidimensional solitons., " Phys. Lett. A 254, 179 (1999).
-
(1999)
Phys. Lett. A
, vol.254
, pp. 179
-
-
Maimistov, A.1
Malomed, B.2
Desyatnikov, A.3
|