-
3
-
-
77951937567
-
The theory of spiral laser beams in nonlinear media
-
Kruglov V., Logvin Y., and Volkov V. The theory of spiral laser beams in nonlinear media. J. Modern Opt. 39 (1992) 2277-2291
-
(1992)
J. Modern Opt.
, vol.39
, pp. 2277-2291
-
-
Kruglov, V.1
Logvin, Y.2
Volkov, V.3
-
4
-
-
0000925075
-
Auto-waveguide propagation and the collapse of spiral light beams in non-linear media
-
Kruglov V., Volkov V., Vlasov R., and Drits V. Auto-waveguide propagation and the collapse of spiral light beams in non-linear media. J. Phys. A: Math. Gen. 21 (1988) 4381-4395
-
(1988)
J. Phys. A: Math. Gen.
, vol.21
, pp. 4381-4395
-
-
Kruglov, V.1
Volkov, V.2
Vlasov, R.3
Drits, V.4
-
5
-
-
33645660124
-
Collapse of optical vortices
-
Vuong L., Grow T., Ishaaya A., Gaeta A., Hooft G., Eliel E., and Fibich G. Collapse of optical vortices. Phys. Rev. Lett. 96 (2006) 133901
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 133901
-
-
Vuong, L.1
Grow, T.2
Ishaaya, A.3
Gaeta, A.4
Hooft, G.5
Eliel, E.6
Fibich, G.7
-
6
-
-
0034355739
-
Self focusing of elliptic beams: An example of the failure of the aberrationless approximation
-
Fibich G., and Ilan B. Self focusing of elliptic beams: An example of the failure of the aberrationless approximation. JOSA B 17 (2000) 1749-1758
-
(2000)
JOSA B
, vol.17
, pp. 1749-1758
-
-
Fibich, G.1
Ilan, B.2
-
7
-
-
0041350485
-
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
-
Merle F., and Raphael P. Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Geom. Funct. Anal. 13 (2003) 591-642
-
(2003)
Geom. Funct. Anal.
, vol.13
, pp. 591-642
-
-
Merle, F.1
Raphael, P.2
-
8
-
-
27644512464
-
New singular solutions of the nonlinear Schrödinger equation
-
Fibich G., Gavish N., and Wang X. New singular solutions of the nonlinear Schrödinger equation. Physica D 211 (2005) 193-220
-
(2005)
Physica D
, vol.211
, pp. 193-220
-
-
Fibich, G.1
Gavish, N.2
Wang, X.3
-
9
-
-
0001145322
-
Stability of the higher-bound states in a saturable self-focusing medium
-
Soto-Crespo J., Heatley D., Wright E., and Akhmediev N. Stability of the higher-bound states in a saturable self-focusing medium. Phys. Rev. A 44 (1991) 636-644
-
(1991)
Phys. Rev. A
, vol.44
, pp. 636-644
-
-
Soto-Crespo, J.1
Heatley, D.2
Wright, E.3
Akhmediev, N.4
-
10
-
-
0000527585
-
Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium
-
Soto-Crespo J., Wright E., and Akhmediev N. Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium. Phys. Rev. A 45 (1992) 3168-3174
-
(1992)
Phys. Rev. A
, vol.45
, pp. 3168-3174
-
-
Soto-Crespo, J.1
Wright, E.2
Akhmediev, N.3
-
11
-
-
34249993538
-
Singular ring solutions of critical and supercritical nonlinear Schrödinger equations
-
Fibich G., Gavish N., and Wang X. Singular ring solutions of critical and supercritical nonlinear Schrödinger equations. Physica D 231 (2007) 55-86
-
(2007)
Physica D
, vol.231
, pp. 55-86
-
-
Fibich, G.1
Gavish, N.2
Wang, X.3
-
12
-
-
0036304184
-
Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation
-
Budd C.J. Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation. SIAM J. Appl. Math. 62 (2001) 801-830
-
(2001)
SIAM J. Appl. Math.
, vol.62
, pp. 801-830
-
-
Budd, C.J.1
-
13
-
-
0000707128
-
Averaged description of wave beams in linear and nonlinear media
-
(in Russian)
-
Vlasov S., Petrishchev V., and Talanov V. Averaged description of wave beams in linear and nonlinear media. Izv. Vuz Radiofiz 14 (1971) 1353-1363 (in Russian)
-
(1971)
Izv. Vuz Radiofiz
, vol.14
, pp. 1353-1363
-
-
Vlasov, S.1
Petrishchev, V.2
Talanov, V.3
-
14
-
-
18644384025
-
Averaged description of wave beams in linear and nonlinear media
-
(in English)
-
Vlasov S., Petrishchev V., and Talanov V. Averaged description of wave beams in linear and nonlinear media. Radiophys. Quantum Electron. 14 (1971) 1062-1070 (in English)
-
(1971)
Radiophys. Quantum Electron.
, vol.14
, pp. 1062-1070
-
-
Vlasov, S.1
Petrishchev, V.2
Talanov, V.3
-
15
-
-
0041011240
-
Nonradial solutions of semilinear elliptic equation in two dimensions
-
Iaia J., and Warchall H. Nonradial solutions of semilinear elliptic equation in two dimensions. J. Differential Equations 119 (1995) 533-558
-
(1995)
J. Differential Equations
, vol.119
, pp. 533-558
-
-
Iaia, J.1
Warchall, H.2
-
16
-
-
33749414489
-
Vortex solitons for 2d focusing nonlinear Schrödinger equation
-
Mizumachi T. Vortex solitons for 2d focusing nonlinear Schrödinger equation. Differential Integral Equations 18 4 (2004) 431-450
-
(2004)
Differential Integral Equations
, vol.18
, Issue.4
, pp. 431-450
-
-
Mizumachi, T.1
-
17
-
-
23844545009
-
Instability of bound states for 2d nonlinear Schrödinger equations
-
Mizumachi T. Instability of bound states for 2d nonlinear Schrödinger equations. Discrete Contin. Dyn. Syst. 13 2 (2005) 413-428
-
(2005)
Discrete Contin. Dyn. Syst.
, vol.13
, Issue.2
, pp. 413-428
-
-
Mizumachi, T.1
-
18
-
-
42149181103
-
Instability of vortex solitons for 2d focusing NLS
-
Mizumachi T. Instability of vortex solitons for 2d focusing NLS. Adv. Differential Equations 12 3 (2007) 241-264
-
(2007)
Adv. Differential Equations
, vol.12
, Issue.3
, pp. 241-264
-
-
Mizumachi, T.1
-
19
-
-
52949123735
-
-
L.D. Menza, Numerical computation of solitons for optical systems, PrePrint
-
L.D. Menza, Numerical computation of solitons for optical systems, PrePrint
-
-
-
-
20
-
-
0014756759
-
Focusing of light in cubic media
-
Talanov V. Focusing of light in cubic media. JETP Lett. 11 (1970) 199-201
-
(1970)
JETP Lett.
, vol.11
, pp. 199-201
-
-
Talanov, V.1
-
21
-
-
84971947811
-
On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation
-
Johnson R., and Pan X. On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993) 763-782
-
(1993)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.123
, pp. 763-782
-
-
Johnson, R.1
Pan, X.2
-
22
-
-
0041473959
-
Nonlinear Schrödinger equations and sharp interpolation estimates
-
Weinstein M. Nonlinear Schrödinger equations and sharp interpolation estimates. Comm. Math. Phys. 87 (1983) 567-576
-
(1983)
Comm. Math. Phys.
, vol.87
, pp. 567-576
-
-
Weinstein, M.1
-
23
-
-
84990553632
-
On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schrödinger equation with critical exponent and critical mass
-
Merle F. On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schrödinger equation with critical exponent and critical mass. Commun. Pure Appl. Math. 45 (1992) 203-254
-
(1992)
Commun. Pure Appl. Math.
, vol.45
, pp. 203-254
-
-
Merle, F.1
-
24
-
-
84974001368
-
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equation with critical power
-
Merle F. Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equation with critical power. Duke Math. J. 69 (1993) 427-454
-
(1993)
Duke Math. J.
, vol.69
, pp. 427-454
-
-
Merle, F.1
-
25
-
-
0001576369
-
Critical power for self-focusing in bulk media and in hollow waveguides
-
Fibich G., and Gaeta A. Critical power for self-focusing in bulk media and in hollow waveguides. Optim. Lett. 25 (2000) 335-337
-
(2000)
Optim. Lett.
, vol.25
, pp. 335-337
-
-
Fibich, G.1
Gaeta, A.2
-
27
-
-
0035400338
-
Self-focusing on bounded domains
-
Fibich G., and Merle F. Self-focusing on bounded domains. Physica D 155 (2001) 132-158
-
(2001)
Physica D
, vol.155
, pp. 132-158
-
-
Fibich, G.1
Merle, F.2
-
28
-
-
0009156882
-
The nonlinear Schrödinger equation - singularity formation, stability and dispersion
-
Weinstein M. The nonlinear Schrödinger equation - singularity formation, stability and dispersion. Contemp. Math. 99 (1989) 213-232
-
(1989)
Contemp. Math.
, vol.99
, pp. 213-232
-
-
Weinstein, M.1
-
29
-
-
0000704928
-
2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
-
2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. J. Differential Equations 84 (1990) 205-214
-
(1990)
J. Differential Equations
, vol.84
, pp. 205-214
-
-
Merle, F.1
Tsutsumi, Y.2
-
30
-
-
33750429971
-
Atmospheric propagation of gradient-shaped and spinning femtosecond light pulses
-
Vincotte A., and Berge L. Atmospheric propagation of gradient-shaped and spinning femtosecond light pulses. Physica D 223 (2006) 163-173
-
(2006)
Physica D
, vol.223
, pp. 163-173
-
-
Vincotte, A.1
Berge, L.2
-
31
-
-
33748575882
-
2 supercritical non linear Schrödinger equation
-
2 supercritical non linear Schrödinger equation. Duke Math. J. 134 2 (2006) 199-258
-
(2006)
Duke Math. J.
, vol.134
, Issue.2
, pp. 199-258
-
-
Raphael, P.1
-
32
-
-
0001424722
-
An iterative grid redistribution method for singular problems in multiple dimensions
-
Ren W., and Wang X. An iterative grid redistribution method for singular problems in multiple dimensions. J. Comput. Phys. 159 (2000) 246-273
-
(2000)
J. Comput. Phys.
, vol.159
, pp. 246-273
-
-
Ren, W.1
Wang, X.2
-
33
-
-
0001689908
-
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
-
Budd C.J., Chen S., and Russell R.D. New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. J. Comput. Phys. 152 (1999) 756
-
(1999)
J. Comput. Phys.
, vol.152
, pp. 756
-
-
Budd, C.J.1
Chen, S.2
Russell, R.D.3
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