-
1
-
-
0001035750
-
Self-focusing and self-trapping of intense light beams in a nonlinear medium
-
S.A. Akhamanov, A.P. Sukhonorov and R.V. Khoklov, Self-focusing and self-trapping of intense light beams in a nonlinear medium. Sov. Phys. JETP 23 (1966) 1025-1033.
-
(1966)
Sov. Phys. JETP
, vol.23
, pp. 1025-1033
-
-
Akhamanov, S.A.1
Sukhonorov, A.P.2
Khoklov, R.V.3
-
2
-
-
21344479280
-
Finite difference discretization of the cubic Schrödinger equation
-
G.D. Akrivis, Finite difference discretization of the cubic Schrödinger equation. IMA J. Numer. Anal. 13 (1993) 115-124.
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 115-124
-
-
Akrivis, G.D.1
-
3
-
-
0002341433
-
On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
-
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. Numer. Math. 59 (1991) 31-53.
-
(1991)
Numer. Math.
, vol.59
, pp. 31-53
-
-
Akrivis, G.D.1
Dougalis, V.A.2
Karakashian, O.A.3
-
4
-
-
0003210742
-
The mathematical theory of finite element methods
-
Springer-Verlag, New York
-
S.C. Brenner and L.R. Scott, The mathematical theory of finite element methods. Texts Appl. Math. 15, Springer-Verlag, New York (1994).
-
(1994)
Texts Appl. Math.
, vol.15
-
-
Brenner, S.C.1
Scott, L.R.2
-
5
-
-
49149142420
-
Nonlinear Schrödinger evolution equations
-
H. Brezis and T. Gallouet, Nonlinear Schrödinger evolution equations. Nonlinear Analysis 4 (1980) 677-681.
-
(1980)
Nonlinear Analysis
, vol.4
, pp. 677-681
-
-
Brezis, H.1
Gallouet, T.2
-
8
-
-
0000902090
-
A numerical study of the nonlinear Schrödinger equation involving quintic terms
-
A. Cloot, B.M. Herbst and J.A.C. Weideman, A numerical study of the nonlinear Schrödinger equation involving quintic terms. J. Comput. Phys. 86 (1990) 127-146.
-
(1990)
J. Comput. Phys.
, vol.86
, pp. 127-146
-
-
Cloot, A.1
Herbst, B.M.2
Weideman, J.A.C.3
-
9
-
-
0010295721
-
Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
-
Z. Fei, V.M. Pérez-García and L. Vázquez, Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme. Appl. Math. Comput. 71 (1995) 165-177.
-
(1995)
Appl. Math. Comput.
, vol.71
, pp. 165-177
-
-
Fei, Z.1
Pérez-García, V.M.2
Vázquez, L.3
-
11
-
-
0027578339
-
On optimal order error estimates for the nonlinear Schrödinger equation
-
O. Karakashian, G.D. Akrivis and V.A. Dougalis, On optimal order error estimates for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 30 (1993) 377-400.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 377-400
-
-
Karakashian, O.1
Akrivis, G.D.2
Dougalis, V.A.3
-
12
-
-
0039756618
-
A space-time finite element method for the nonlinear Schrödinger equation: The discontinuous Galerkin method
-
O. Karakashian and Ch. Makridakis, A space-time finite element method for the nonlinear Schrödinger equation: The discontinuous Galerkin method. Math. Comp. 67 (1998) 479-499.
-
(1998)
Math. Comp.
, vol.67
, pp. 479-499
-
-
Karakashian, O.1
Makridakis, Ch.2
-
13
-
-
0039714117
-
Fully discrete methods for the nonlinear Schrödinger equation
-
H.Y. Lee, Fully discrete methods for the nonlinear Schrödinger equation. Comput. Math. Appl. 28 (1994) 9-24.
-
(1994)
Comput. Math. Appl.
, vol.28
, pp. 9-24
-
-
Lee, H.Y.1
-
14
-
-
0025442951
-
The role of critical exponents in blowup theorems
-
H.A. Levine, The role of critical exponents in blowup theorems. SIAM Review 32 (1990) 262-288.
-
(1990)
SIAM Review
, vol.32
, pp. 262-288
-
-
Levine, H.A.1
-
15
-
-
84972577314
-
Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity
-
H. Nawa, Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity. J. Math. Soc. Japan 46 (1994) 557-586.
-
(1994)
J. Math. Soc. Japan
, vol.46
, pp. 557-586
-
-
Nawa, H.1
-
16
-
-
0039122046
-
Solitons in mathematics and mathematical physics
-
SIAM, Philadelphia
-
A.C. Newell, Solitons in mathematics and mathematical physics. CBMS Appl. Math. Ser. 48, SIAM, Philadelphia (1988).
-
(1988)
CBMS Appl. Math. Ser.
, vol.48
-
-
Newell, A.C.1
-
17
-
-
84956263763
-
Blow-up in nonlinear Schroedinger equations-I: A general review
-
J.J. Rasmussen and K. Rypdal, Blow-up in nonlinear Schroedinger equations-I: A general review. Physica Scripta 33 (1986) 481-497.
-
(1986)
Physica Scripta
, vol.33
, pp. 481-497
-
-
Rasmussen, J.J.1
Rypdal, K.2
-
18
-
-
21844508595
-
Orthogonal spline collocation methods for Schrödinger-type equations in one space variable
-
M.P. Robinson and G. Fairweather, Orthogonal spline collocation methods for Schrödinger-type equations in one space variable. Numer. Math. 68 (1994) 355-376.
-
(1994)
Numer. Math.
, vol.68
, pp. 355-376
-
-
Robinson, M.P.1
Fairweather, G.2
-
19
-
-
84956239507
-
Blow-up in nonlinear Schroedinger equations-II: Similarity structure of the blow-up singularity
-
K. Rypdal and J. J. Rasmussen, Blow-up in nonlinear Schroedinger equations-II: Similarity structure of the blow-up singularity. Physica Scripta 33 (1986) 498-504.
-
(1986)
Physica Scripta
, vol.33
, pp. 498-504
-
-
Rypdal, K.1
Rasmussen, J.J.2
-
20
-
-
84961470712
-
Methods for the numerical solution of the nonlinear Schroedinger equation
-
J.M. Sanz-Serna Methods for the numerical solution of the nonlinear Schroedinger equation. Math. Comp. 43 (1984) 21-27.
-
(1984)
Math. Comp.
, vol.43
, pp. 21-27
-
-
Sanz-Serna, J.M.1
-
22
-
-
0008982733
-
Self-focusing of wave beams in nonlinear media
-
V.I. Talanov Self-focusing of wave beams in nonlinear media. JETP Lett. 2 (1965) 138-141.
-
(1965)
JETP Lett.
, vol.2
, pp. 138-141
-
-
Talanov, V.I.1
-
23
-
-
0003345958
-
Galerkin finite element methods for parabolic problems
-
Springer-Verlag, Berlin, Heidelberg
-
V. Thomée, Galerkin finite element methods for parabolic problems. Springer Series Comput. Math. 25, Springer-Verlag, Berlin, Heidelberg (1997).
-
(1997)
Springer Series Comput. Math.
, vol.25
-
-
Thomée, V.1
-
24
-
-
0010297231
-
1 estimates for two time-discrete Galerkin approximations of a nonlinear Schrödinger equation
-
1 estimates for two time-discrete Galerkin approximations of a nonlinear Schrödinger equation. IMA J. Numer. Anal. 11 (1991) 509-523.
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 509-523
-
-
Tourigny, Y.1
-
25
-
-
0038875436
-
Classical solutions of nonlinear Schrödinger equations in higher dimensions
-
M. Tsutsumi and N. Hayashi, Classical solutions of nonlinear Schrödinger equations in higher dimensions. Math. Z. 177 (1981) 217-234.
-
(1981)
Math. Z.
, vol.177
, pp. 217-234
-
-
Tsutsumi, M.1
Hayashi, N.2
-
26
-
-
0001596227
-
Collapse of Langmuir waves
-
V.E. Zakharov, Collapse of Langmuir waves. Sov. Phys. JETP 35 (1972) 908-922.
-
(1972)
Sov. Phys. JETP
, vol.35
, pp. 908-922
-
-
Zakharov, V.E.1
|