-
1
-
-
0003980627
-
-
Academic Press, New York
-
Boyd, R., Nonlinear Optics, Academic Press, New York, 1992.
-
(1992)
Nonlinear Optics
-
-
Boyd, R.1
-
2
-
-
0003972070
-
-
Pergamon Press, Oxford
-
Born, M., and Wolf, E., Principles of Optics, 4th ed., Pergamon Press, Oxford, 1970.
-
(1970)
Principles of Optics, 4th Ed.
-
-
Born, M.1
Wolf, E.2
-
3
-
-
0000600899
-
Ondes asymptotiques et approchées pour les systèmes d'équations aux dérivées partielles non linéaires
-
Choquet-Bruhat, Y., Ondes asymptotiques et approchées pour les systèmes d'équations aux dérivées partielles non linéaires. J. Math. Pure Appl. 48, 1969, pp. 117-158.
-
(1969)
J. Math. Pure Appl.
, vol.48
, pp. 117-158
-
-
Choquet-Bruhat, Y.1
-
4
-
-
0018007526
-
Focusing of weak shock waves at an arête
-
Cramer, M., and Seebass, A., Focusing of weak shock waves at an arête, J. Fluid Mech. 88, 1978, pp. 209-222.
-
(1978)
J. Fluid Mech.
, vol.88
, pp. 209-222
-
-
Cramer, M.1
Seebass, A.2
-
6
-
-
0039542641
-
Conormalité des ondes semi-linéaires le long des caustiques
-
Delort, J.-M., Conormalité des ondes semi-linéaires le long des caustiques, Amer. J. Math. 113, 1991, pp. 593-651.
-
(1991)
Amer. J. Math.
, vol.113
, pp. 593-651
-
-
Delort, J.-M.1
-
7
-
-
84980174402
-
Oscillatory integrals, Lagrangian immersions and unfolding of singularities
-
Duistermaat, J J., Oscillatory integrals, Lagrangian immersions and unfolding of singularities, Comm. Pure Appl. Math. 27, 1974, pp. 207-281.
-
(1974)
Comm. Pure Appl. Math.
, vol.27
, pp. 207-281
-
-
Duistermaat, J.J.1
-
8
-
-
0001359817
-
Fourier integral operators II
-
Duistermaat, J. J., and Hörmander, L., Fourier integral operators II, Acta Math. 128, 1972, pp. 183-269.
-
(1972)
Acta Math.
, vol.128
, pp. 183-269
-
-
Duistermaat, J.J.1
Hörmander, L.2
-
9
-
-
25544444880
-
Développements asymptotiques de solutions exactes de systèmes hyperboliques quasilinéaires
-
Guès, O., Développements asymptotiques de solutions exactes de systèmes hyperboliques quasilinéaires, Asymptotic Anal. 6, 1993, pp. 241-269.
-
(1993)
Asymptotic Anal.
, vol.6
, pp. 241-269
-
-
Guès, O.1
-
10
-
-
84974001619
-
Ondes multidimensionnelles epsilon stratifiées et oscillations
-
Guès, O., Ondes multidimensionnelles epsilon stratifiées et oscillations, Duke Math. J. 68, 1992, pp. 401-446.
-
(1992)
Duke Math. J.
, vol.68
, pp. 401-446
-
-
Guès, O.1
-
11
-
-
0002820858
-
Fourier integral operators I
-
Hörmander, L., Fourier integral operators I, Acta. Math. 127, 1971, pp. 79-183.
-
(1971)
Acta. Math.
, vol.127
, pp. 79-183
-
-
Hörmander, L.1
-
13
-
-
0011575663
-
Transverse diffraction of nonlinear waves and singular rays
-
Hunter, J., Transverse diffraction of nonlinear waves and singular rays, SIAM J. Appl. Math. 48, 1988, pp. 1-37.
-
(1988)
SIAM J. Appl. Math.
, vol.48
, pp. 1-37
-
-
Hunter, J.1
-
14
-
-
84990566608
-
Weakly nonlinear high frequency waves
-
Hunter, J., and Keller, J., Weakly nonlinear high frequency waves, Comm. Pure Appl. Math. 36, 1983, pp. 547-569.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, pp. 547-569
-
-
Hunter, J.1
Keller, J.2
-
15
-
-
0023422783
-
Caustics of nonlinear waves
-
Hunter, J., and Keller, J., Caustics of nonlinear waves, Wave Motion 9, 1987, pp. 429-443.
-
(1987)
Wave Motion
, vol.9
, pp. 429-443
-
-
Hunter, J.1
Keller, J.2
-
16
-
-
0022917172
-
Resonantly interacting weakly nonlinear hyperbolic waves II: Several space variables
-
Hunter, J., Majda, A., and Rosales, R., Resonantly interacting weakly nonlinear hyperbolic waves II: Several space variables, Stud. Appl. Math. 75, 1986, pp. 187-226.
-
(1986)
Stud. Appl. Math.
, vol.75
, pp. 187-226
-
-
Hunter, J.1
Majda, A.2
Rosales, R.3
-
17
-
-
84974005262
-
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
-
Joly, J.-L., Métivier, G., and Rauch, J., Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves, Duke Math. J. 70, 1993, pp. 373-404.
-
(1993)
Duke Math. J.
, vol.70
, pp. 373-404
-
-
Joly, J.-L.1
Métivier, G.2
Rauch, J.3
-
18
-
-
84875121418
-
Remarques sur l'optique géométrique non linéaire multidimensionelle
-
Joly, J.-L., Métivier, G., and Rauch, J., Remarques sur l'optique géométrique non linéaire multidimensionelle. Séminaire Équations aux Dérivées Partielles, École Polytechnique, exposé no. 1, 1990-1991.
-
(1990)
Séminaire Équations aux Dérivées Partielles, École Polytechnique, Exposé No. 1
, vol.1
-
-
Joly, J.-L.1
Métivier, G.2
Rauch, J.3
-
19
-
-
0002985997
-
Coherent and focusing multidimensional nonlinear geometric optics
-
Joly, J.-L., Métivier, G., and Rauch, J., Coherent and focusing multidimensional nonlinear geometric optics, Ann. Scient. Éc. Norm. Sup. Paris 28, 1995, pp. 51-113.
-
(1995)
Ann. Scient. Éc. Norm. Sup. Paris
, vol.28
, pp. 51-113
-
-
Joly, J.-L.1
Métivier, G.2
Rauch, J.3
-
20
-
-
85033767570
-
Focalisation et absorption des oscillations non linéaires
-
St. Jean de Monts, Publications de L'Ecole Polytechnique, Paris
-
Joly, J.-L., Métivier, G., and Rauch, J., Focalisation et absorption des oscillations non linéaires, Journées Equations aux Dérivées Partielles, St. Jean de Monts, Publications de L'Ecole Polytechnique, Paris, 1993.
-
(1993)
Journées Equations aux Dérivées Partielles
-
-
Joly, J.-L.1
Métivier, G.2
Rauch, J.3
-
21
-
-
21844504284
-
Focusing at a point and absorption of nonlinear oscillations
-
Joly, J.-L., Métivier, G., and Rauch, J., Focusing at a point and absorption of nonlinear oscillations, Trans. Amer. Math. Soc. 347, 1995, pp. 3921-3971.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 3921-3971
-
-
Joly, J.-L.1
Métivier, G.2
Rauch, J.3
-
22
-
-
0000056886
-
Justification of multidimensional single phase semilinear geometric optics
-
Joly, J.-L., and Rauch, R., Justification of multidimensional single phase semilinear geometric optics, Trans. Amer. Math. Soc. 330, 1992, pp. 599-625.
-
(1992)
Trans. Amer. Math. Soc.
, vol.330
, pp. 599-625
-
-
Joly, J.-L.1
Rauch, R.2
-
23
-
-
84966222207
-
Rays, waves and asymptotics
-
Keller, J., Rays, waves and asymptotics, Bull. Amer. Math. Soc 84, 1978, pp. 727-750.
-
(1978)
Bull. Amer. Math. Soc
, vol.84
, pp. 727-750
-
-
Keller, J.1
-
24
-
-
84972538741
-
Asymptotic solutions of oscillatory initial value problems
-
Lax, P. D., Asymptotic solutions of oscillatory initial value problems. Duke Math. J. 24, 1957, 627-646.
-
(1957)
Duke Math. J.
, vol.24
, pp. 627-646
-
-
Lax, P.D.1
-
25
-
-
0012120831
-
Équations des ondes semi-linéaires II: Contrôle des singularités et caustiques semilinéaires
-
Lebeau, G., Équations des ondes semi-linéaires II: Contrôle des singularités et caustiques semilinéaires, Invent. Math. 95, 1989, pp. 277-323.
-
(1989)
Invent. Math.
, vol.95
, pp. 277-323
-
-
Lebeau, G.1
-
26
-
-
0001210293
-
Uniform asymptotic expansions at a caustic
-
Ludwig, D., Uniform asymptotic expansions at a caustic, Comm. Pure and Appl. Math. 13, 1966, pp. 85-114.
-
(1966)
Comm. Pure and Appl. Math.
, vol.13
, pp. 85-114
-
-
Ludwig, D.1
-
27
-
-
0021502758
-
Resonantly interacting weakly nonlinear hyperbolic waves I: A single space variable
-
Majda, A., and Rosales, R., Resonantly interacting weakly nonlinear hyperbolic waves I: A single space variable, Stud. Appl. Math. 71, 1984, pp. 149-179.
-
(1984)
Stud. Appl. Math.
, vol.71
, pp. 149-179
-
-
Majda, A.1
Rosales, R.2
-
30
-
-
84946112001
-
Diffraction effects in weakly nonlinear detonation waves
-
Nonlinear Hyperbolic Problems
-
Rosales, R., Diffraction effects in weakly nonlinear detonation waves, in Nonlinear Hyperbolic Problems, Lecture Notes in Mathematics 1402, 1988, pp. 227-239.
-
(1988)
Lecture Notes in Mathematics
, vol.1402
, pp. 227-239
-
-
Rosales, R.1
-
31
-
-
84974004803
-
Evolution of semilinear waves with swallowtail singularities
-
Sá Barreto, A., Evolution of semilinear waves with swallowtail singularities, Duke Math. J. 75, 1994, pp. 645-710.
-
(1994)
Duke Math. J.
, vol.75
, pp. 645-710
-
-
Sá Barreto, A.1
-
32
-
-
0005500852
-
Fast singular limits of hyperbolic partial differential equations
-
Schochet, S., Fast singular limits of hyperbolic partial differential equations, J. Diff. Eq. 113, 1994, pp. 473-504.
-
(1994)
J. Diff. Eq.
, vol.113
, pp. 473-504
-
-
Schochet, S.1
-
33
-
-
0016920469
-
The focusing of weak shock waves
-
Sturtevant, B., and Kulkarny, V., The focusing of weak shock waves, J. Fluid Mech., 73, 1976, pp. 651-671.
-
(1976)
J. Fluid Mech.
, vol.73
, pp. 651-671
-
-
Sturtevant, B.1
Kulkarny, V.2
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