-
1
-
-
0000440099
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
ZAKHAROV, V.E. & SHABAT, A.B., Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Zh. Eksp. Teor. Fiz. 61, 118-134 (1972); Sov. Phys. JETP 34, 62-69 (1972).
-
(1972)
Zh. Eksp. Teor. Fiz.
, vol.61
, pp. 118-134
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
2
-
-
0009296146
-
-
ZAKHAROV, V.E. & SHABAT, A.B., Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Zh. Eksp. Teor. Fiz. 61, 118-134 (1972); Sov. Phys. JETP 34, 62-69 (1972).
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
-
3
-
-
0008982733
-
Self-focusing of wave beams in nonlinear media
-
TALANOV, V.I., Self-focusing of wave beams in nonlinear media, J. Exper. Theor. Phys. Lett. 2 , 138-141 (1965).
-
(1965)
J. Exper. Theor. Phys. Lett.
, vol.2
, pp. 138-141
-
-
Talanov, V.I.1
-
5
-
-
43949157921
-
The effect of normal dispersion on collapse events
-
LUTHER, G.G., NEWELL, A.C. & MOLONEY, J.V., The effect of normal dispersion on collapse events, Physica D, 74 59-160(1994).
-
(1994)
Physica D
, vol.74
, pp. 59-160
-
-
Luther, G.G.1
Newell, A.C.2
Moloney, J.V.3
-
6
-
-
0000389921
-
Beam self-focusing in the presence of a small normal time dispersion
-
FIBICH, G., MALKIN, V.M. & PAPANICOLAOU, G.C., Beam self-focusing in the presence of a small normal time dispersion, Phys. Rev. A 52, 4218-4228 (1995).
-
(1995)
Phys. Rev. A
, vol.52
, pp. 4218-4228
-
-
Fibich, G.1
Malkin, V.M.2
Papanicolaou, G.C.3
-
7
-
-
0010902753
-
Multisplitting and collapse of self-focusing anisotropic beams in normal/anomalous dispersive media
-
BERGE, L. & RASMUSSEN J.J., Multisplitting and collapse of self-focusing anisotropic beams in normal/anomalous dispersive media, Phys. Plasmas, 3, 824-843 (1996).
-
(1996)
Phys. Plasmas
, vol.3
, pp. 824-843
-
-
Berge, L.1
Rasmussen, J.J.2
-
8
-
-
0007823590
-
Asymptotic stability of manifold of self-similar solutions in self-focusing
-
FRAIMAN, G.M., Asymptotic stability of manifold of self-similar solutions in self-focusing, Zh. Eksp. Teor. Fiz. 88, 390-400 (1985); Sov. Phys. JETP 61, 228-233 (1985).
-
(1985)
Zh. Eksp. Teor. Fiz.
, vol.88
, pp. 390-400
-
-
Fraiman, G.M.1
-
9
-
-
0000548165
-
-
FRAIMAN, G.M., Asymptotic stability of manifold of self-similar solutions in self-focusing, Zh. Eksp. Teor. Fiz. 88, 390-400 (1985); Sov. Phys. JETP 61, 228-233 (1985).
-
(1985)
Sov. Phys. JETP
, vol.61
, pp. 228-233
-
-
-
10
-
-
0001678668
-
Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
-
LEMESURIER, B., PAPANICOLAOU, G., SULEM, C. & SULEM, P.L., Local structure of the self-focusing singularity of the nonlinear Schrödinger equation, Physica D 32, 210-226 (1988) .
-
(1988)
Physica D
, vol.32
, pp. 210-226
-
-
Lemesurier, B.1
Papanicolaou, G.2
Sulem, C.3
Sulem, P.L.4
-
11
-
-
0000893351
-
Rate of blow-up for solutions of the nonlinear Schrödinger equation at critical dimension
-
LANDMAN, M., PAPANICOLAOU, G., SULEM, C. & SULEM, P.L., Rate of blow-up for solutions of the nonlinear Schrödinger equation at critical dimension Phys. Rev A, 38, 3837-3843 (1988) .
-
(1988)
Phys. Rev A
, vol.38
, pp. 3837-3843
-
-
Landman, M.1
Papanicolaou, G.2
Sulem, C.3
Sulem, P.L.4
-
12
-
-
0029394002
-
Spatial structure of the focusing singularity of the nonlinear Schrödinger equation : A geometrical analysis
-
KOPPEL, N. & LANDMAN, M., Spatial structure of the focusing singularity of the nonlinear Schrödinger equation : a geometrical analysis, SIAM J. Appl. Math. 55 , 1297-1323 (1995).
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 1297-1323
-
-
Koppel, N.1
Landman, M.2
-
13
-
-
44049117330
-
Optical turbulence : Weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
-
DYACHENKO, S., NEWELL, A.C., PUSHKAREV, A. & ZAKHAROV, V.I., Optical turbulence : weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation Physica D 57, 96-160 (1992).
-
(1992)
Physica D
, vol.57
, pp. 96-160
-
-
Dyachenko, S.1
Newell, A.C.2
Pushkarev, A.3
Zakharov, V.I.4
-
14
-
-
85033119709
-
-
Textos de Métodos Matemáticos Instituto de Matemática, UFRJ, Rio de Janeiro
-
CAZENAVE, T., An introduction to nonlinear Schrödinger equation, Textos de Métodos Matemáticos 26, Instituto de Matemática, UFRJ, Rio de Janeiro (1989).
-
(1989)
An Introduction to Nonlinear Schrödinger Equation
, vol.26
-
-
Cazenave, T.1
-
15
-
-
49249148441
-
On a class of schrödinger equations
-
GINIBRE, J. & VELO, G., On a class of Schrödinger equations, J. Funct.Anal. 32, 1-32, 33-71 (1979).
-
(1979)
J. Funct.anal.
, vol.32
, pp. 1-32
-
-
Ginibre, J.1
Velo, G.2
-
16
-
-
0000320001
-
Decay and scattering of solutions of a nonlinear schrödinger equation
-
LIN, J.E. & STRAUSS, W., Decay and scattering of solutions of a nonlinear Schrödinger equation, J. Funct. Anal., 30, 245-263 (1978) .
-
(1978)
J. Funct. Anal.
, vol.30
, pp. 245-263
-
-
Lin, J.E.1
Strauss, W.2
-
17
-
-
36749114276
-
On the blowing-up of solutions to the Cauchy problem for the nonlinear Schrödinger equation
-
GLASSEY, R., On the blowing-up of solutions to the Cauchy problem for the nonlinear Schrödinger equation J. Math. Phys. 18, 1794-1797 (1977).
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1794-1797
-
-
Glassey, R.1
-
19
-
-
0000835523
-
1 solution for the nonlinear Schrödinger equation
-
1 solution for the nonlinear Schrödinger equation, J. Diff. Equ. 92, 317-330 (1991).
-
(1991)
J. Diff. Equ.
, vol.92
, pp. 317-330
-
-
Ogawa, T.1
Tutsumi, Y.2
-
21
-
-
0000924617
-
Symmetry of positive solutions of nonlinear elliptic equations
-
Adv. Math. Supp. Studies, ed. L. Nachbin
-
GIDAS, B., NI, W.M. & NIRENBERG, L., Symmetry of positive solutions of nonlinear elliptic equations Math. Anal. and Appl., Adv. Math. Supp. Studies, ed. L. Nachbin 7A, 369-402 (1981).
-
(1981)
Math. Anal. and Appl.
, vol.7 A
, pp. 369-402
-
-
Gidas, B.1
Ni, W.M.2
Nirenberg, L.3
-
22
-
-
0041473959
-
Nonlinear schrödinger equations and sharp interpolation estimates
-
WEINSTEIN, M.I., Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys. 87, 567-576 (1983).
-
(1983)
Comm. Math. Phys.
, vol.87
, pp. 567-576
-
-
Weinstein, M.I.1
-
23
-
-
0009156882
-
The nonlinear schrödinger equation - Singularity formation, stability and dispersion
-
WEINSTEIN, M.I., The nonlinear Schrödinger equation - Singularity formation, Stability and Dispersion, Contemporary Math. 99, 213-232 (1989).
-
(1989)
Contemporary Math.
, vol.99
, pp. 213-232
-
-
Weinstein, M.I.1
-
24
-
-
84990553632
-
On the uniqueness and continuation properties blow-up time of self-similar solutions on nonlinear Schrödinger equation with critical exponent and critical mass
-
MERLE, F., On the uniqueness and continuation properties blow-up time of self-similar solutions on nonlinear Schrödinger equation with critical exponent and critical mass, Comm. Pure Appl. Math 45, 203-254 (1992).
-
(1992)
Comm. Pure Appl. Math
, vol.45
, pp. 203-254
-
-
Merle, F.1
-
25
-
-
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. Diff. Equ. 84, 205-214 (1990).
-
(1990)
J. Diff. Equ.
, vol.84
, pp. 205-214
-
-
Merle, F.1
Tsutsumi, Y.2
-
26
-
-
0040580243
-
2-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power
-
2-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power, Nonlin. Anal. Theory, Meth. & Appl. 15 , 719-724 (1990).
-
(1990)
Nonlin. Anal. Theory, Meth. & Appl.
, vol.15
, pp. 719-724
-
-
Tsutsumi, Y.1
-
28
-
-
35949022121
-
Focusing singularity of the cubic Schrödinger equation
-
MCLAUGHLIN, D., PAPANICOLAOU, G., SULEM, C. & SULEM, P.L., Focusing singularity of the cubic Schrödinger equation, Phys. Rev A 34 , 2000-2010 (1986).
-
(1986)
Phys. Rev A
, vol.34
, pp. 2000-2010
-
-
McLaughlin, D.1
Papanicolaou, G.2
Sulem, C.3
Sulem, P.L.4
-
29
-
-
0006645185
-
Stability of isotropic singularities for the nonlinear Schrödinger equation
-
LANDMAN, M., PAPANICOLAOU, G., SULEM, C., SULEM, P.L. & WANG, X.P., Stability of isotropic singularities for the nonlinear Schrödinger equation, Physica D 47 , 393-415(1991) .
-
(1991)
Physica D
, vol.47
, pp. 393-415
-
-
Landman, M.1
Papanicolaou, G.2
Sulem, C.3
Sulem, P.L.4
Wang, X.P.5
-
30
-
-
0001906184
-
Collapse of self-focusing Langmuir waves
-
M.N. Rosenbluth and R.Z. Sagdeev eds, Elsevier
-
ZAKHAROV, V.E., Collapse of self-focusing Langmuir waves, in Handbook of Plasma Physics, Vol. 2, M.N. Rosenbluth and R.Z. Sagdeev eds, Elsevier (1984).
-
(1984)
Handbook of Plasma Physics
, vol.2
-
-
Zakharov, V.E.1
-
31
-
-
44949272407
-
Computer simulation of wave collapse in the nonlinear Schrödinger equation
-
KOSMATOV, N., SCHVETS, V. & ZAKHAROV, V., Computer simulation of wave collapse in the nonlinear Schrödinger equation, Physica D 52 , 16-35 (1991).
-
(1991)
Physica D
, vol.52
, pp. 16-35
-
-
Kosmatov, N.1
Schvets, V.2
Zakharov, V.3
-
33
-
-
0012148319
-
Galerkin-finite element methods for the nonlinear Schrödinger equation
-
E. Lipitakis ed., World Scientific
-
AKRIVIS, G., DOUGALIS, V., KARAKASHIAN, O. & MCKINNEY, W., Galerkin-finite element methods for the Nonlinear Schrödinger equation, in Advances on computer mathematics and its applications, E. Lipitakis ed., World Scientific, 85-106 (1993) .
-
(1993)
Advances on Computer Mathematics and Its Applications
, pp. 85-106
-
-
Akrivis, G.1
Dougalis, V.2
Karakashian, O.3
McKinney, W.4
-
34
-
-
0018480221
-
On the evolution of packet of water waves
-
ABLOWITZ, M.J. & SEGUR, H., On the evolution of packet of water waves, Fluid Mech. 92, 691-715 (1979).
-
(1979)
Fluid Mech.
, vol.92
, pp. 691-715
-
-
Ablowitz, M.J.1
Segur, H.2
-
35
-
-
34250447917
-
Stability of periodic waves of finite amplitude on the surface of a deep fluid
-
ZAKHAROV, V.I., Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys. 2 190-194 (1968).
-
(1968)
J. Appl. Mech. Tech. Phys.
, vol.2
, pp. 190-194
-
-
Zakharov, V.I.1
-
36
-
-
0002004721
-
Solitons, nonlinear evolution equations and inverse, scattering
-
ABLOWITZ, M.J. & CLARKSON, P.A., Solitons, nonlinear evolution equations and inverse, scattering, London Mathematical Society Lecture Note Series 149 (1991).
-
(1991)
London Mathematical Society Lecture Note Series
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
37
-
-
33746715293
-
On the Davey-Stewartson systems
-
LINARES, F. & PONCE, G., On the Davey-Stewartson systems, Ann. Inst. H. Poincaré. Analyse non-linéaire, 10, 523-548 (1993).
-
(1993)
Ann. Inst. H. Poincaré. Analyse Non-linéaire
, vol.10
, pp. 523-548
-
-
Linares, F.1
Ponce, G.2
-
39
-
-
0348090464
-
On the initial value problem for the Davey-Stewartson systems
-
GHIDAGLIA, J.M. & SAUT, J.C., On the initial value problem for the Davey-Stewartson systems, Nonlinearity, 3, 475-506 (1990).
-
(1990)
Nonlinearity
, vol.3
, pp. 475-506
-
-
Ghidaglia, J.M.1
Saut, J.C.2
-
40
-
-
0000002410
-
The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves
-
PAPANICOLAOU, G., SULEM, C., SULEM, P.L. & WANG, X.P., The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves, Physica D 72, 61-86 (1994).
-
(1994)
Physica D
, vol.72
, pp. 61-86
-
-
Papanicolaou, G.1
Sulem, C.2
Sulem, P.L.3
Wang, X.P.4
-
41
-
-
0038865207
-
-
BUDNEVA, D.B., ZAKHAROV V.E & SYNAKH, V.S., Fiz. Plasma, 1 (1975), 606-613; Sov. J. Plasma Phys. 1, 335-338 (1975).
-
(1975)
Fiz. Plasma
, vol.1
, pp. 606-613
-
-
Budneva, D.B.1
Zakharov, V.E.2
Synakh, V.S.3
-
42
-
-
0016530849
-
-
BUDNEVA, D.B., ZAKHAROV V.E & SYNAKH, V.S., Fiz. Plasma, 1 (1975), 606-613; Sov. J. Plasma Phys. 1, 335-338 (1975).
-
(1975)
Sov. J. Plasma Phys.
, vol.1
, pp. 335-338
-
-
-
43
-
-
0000419044
-
Stability of isotropic self-similar dynamics for scalar-wave collapse
-
LANDMAN, M., PAPANICOLAOU, G., SULEM, C., SULEM, P.L. & WANG, X.P., Stability of isotropic self-similar dynamics for scalar-wave collapse, Phys, Rev A 46, 7869-7876 (1992) .
-
(1992)
Phys, Rev A
, vol.46
, pp. 7869-7876
-
-
Landman, M.1
Papanicolaou, G.2
Sulem, C.3
Sulem, P.L.4
Wang, X.P.5
-
44
-
-
0012473526
-
Nonlinear interaction between high and low frequency waves
-
ZAKHAROV, V.E. & RUBENCHIK, A.M., Nonlinear interaction between high and low frequency waves, Prikl. Mat. Techn. Fiz. 5, 84-98 (1972).
-
(1972)
Prikl. Mat. Techn. Fiz.
, vol.5
, pp. 84-98
-
-
Zakharov, V.E.1
Rubenchik, A.M.2
-
45
-
-
0040394181
-
Integrability of nonlinear systems and perturbation theory
-
V.E. Zakharov ed., Springer Series on Nonlinear Dynamics, Springer Verlag
-
ZAKHAROV, V.E. & SCHULMAN, E.I., Integrability of nonlinear systems and perturbation theory, in What is integrability, p. 185-250, V.E. Zakharov ed., Springer Series on Nonlinear Dynamics, Springer Verlag (1991).
-
(1991)
What Is Integrability
, pp. 185-250
-
-
Zakharov, V.E.1
Schulman, E.I.2
-
46
-
-
0042117202
-
Generation of acoustic fronts by focusing wave packets
-
PASSOT, T, SULEM, C. & SULEM, P.L., Generation of acoustic fronts by focusing wave packets, Physica D 94, 168-187 (1996).
-
(1996)
Physica D
, vol.94
, pp. 168-187
-
-
Passot, T.1
Sulem, C.2
Sulem, P.L.3
-
47
-
-
0006383031
-
Effect of longitudinal modulation on alfvén wave filamentation
-
PASSOT, T, SULEM, C. & SULEM, P.L., Effect of longitudinal modulation on Alfvén wave filamentation, Phys. Rev. E 50, 1427-1436 (1994).
-
(1994)
Phys. Rev. E
, vol.50
, pp. 1427-1436
-
-
Passot, T.1
Sulem, C.2
Sulem, P.L.3
-
48
-
-
85033108707
-
On alfvén wave filamentation
-
submitted
-
CHAMPEAUX, S., PASSOT, T. & SULEM, P.L., On Alfvén wave filamentation, J. Plasma Phys., submitted.
-
J. Plasma Phys.
-
-
Champeaux, S.1
Passot, T.2
Sulem, P.L.3
-
49
-
-
36448999524
-
Initial development of ponderomotive filaments in plasma from intense hot spots produced by a random phase rate
-
ROSE, H. & DUBOIS, D.F., Initial development of ponderomotive filaments in plasma from intense hot spots produced by a random phase rate, Phys. Fluids B, 5, 3337-3356 (1993).
-
(1993)
Phys. Fluids B
, vol.5
, pp. 3337-3356
-
-
Rose, H.1
Dubois, D.F.2
|