-
1
-
-
0030263239
-
Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem
-
Bronski, J. C. Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem. Phys. D 97 (1996), no. 4, 376-397.
-
(1996)
Phys. D
, vol.97
, Issue.4
, pp. 376-397
-
-
Bronski, J.C.1
-
2
-
-
4244193319
-
Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem. Advances in nonlinear mathematics and science
-
Bronski, J. C. Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem. Advances in nonlinear mathematics and science. Phys. D 152/153 (2001), 163-170.
-
(2001)
Phys. D
, vol.152-153
, pp. 163-170
-
-
Bronski, J.C.1
-
3
-
-
0242376125
-
The nonlinear Schrödinger equation as both a PDE and a dynamical system
-
North-Holland, Amsterdam
-
Cai, D.; McLaughlin, D. W.; McLaughlin, K. T.-R. The nonlinear Schrödinger equation as both a PDE and a dynamical system. Handbook of dynamical systems, vol. 2, 599-675. North-Holland, Amsterdam, 2002.
-
(2002)
Handbook of Dynamical Systems
, vol.2
, pp. 599-675
-
-
Cai, D.1
McLaughlin, D.W.2
McLaughlin, K.T.-R.3
-
4
-
-
17944399485
-
A numerical Study of the semi-classical limit of the focusing nonlinear Schrödinger equation
-
Ceniceros, H. D.; Tian, F.-R. A numerical Study of the semi-classical limit of the focusing nonlinear Schrödinger equation. Phys. Lett. A 306 (2002), 25-34.
-
(2002)
Phys. Lett. A
, vol.306
, pp. 25-34
-
-
Ceniceros, H.D.1
Tian, F.-R.2
-
5
-
-
0002134140
-
Old and new approaches to the inverse scattering problem
-
E. Lieb, B. Simon, and A. Wightman, eds. Princeton Series in Physics. Princeton University Press
-
Dyson, F. J. Old and new approaches to the inverse scattering problem. Studies in Mathematical Physics, 151-167. E. Lieb, B. Simon, and A. Wightman, eds. Princeton Series in Physics. Princeton University Press, 1976.
-
(1976)
Studies in Mathematical Physics
, pp. 151-167
-
-
Dyson, F.J.1
-
6
-
-
0003608444
-
-
Courant Lecture Notes in Mathematics. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, R.I.
-
Deift, P. Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Courant Lecture Notes in Mathematics, 3. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, R.I., 1999.
-
(1999)
Orthogonal Polynomials and Random Matrices: A Riemann-hilbert Approach
, pp. 3
-
-
Deift, P.1
-
7
-
-
0000743268
-
New results on the equilibrium measure for logarithmic potentials in the presence of an external field
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R. New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory 95 (1998), no. 3, 388-475.
-
(1998)
J. Approx. Theory
, vol.95
, Issue.3
, pp. 388-475
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
-
8
-
-
1842689760
-
Asymptotics for polynomials orthogonal with respect to varying exponential weights
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Asymptotics for polynomials orthogonal with respect to varying exponential weights. Internat. Math. Res. Notices 1997, no. 16, 759-782.
-
(1997)
Internat. Math. Res. Notices
, vol.16
, pp. 759-782
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
9
-
-
0038715204
-
Uniform asymptotics for orthogonal polynomials
-
Proceedings of the International Congress of Mathematicians, vol 3 (Berlin, 1998)., (electronic)
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Uniform asymptotics for orthogonal polynomials. Proceedings of the International Congress of Mathematicians, vol. 3 (Berlin, 1998). Doc. Math. (1998), Extra Vol. III, 491-501 (electronic).
-
(1998)
Doc. Math.
, vol.3
, pp. 491-501
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
10
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.12
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
11
-
-
0033440723
-
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52 (1999), no. 11, 1335-1425.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.11
, pp. 1335-1425
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
13
-
-
84990578228
-
The collisionless shock region for the long-time behavior of solutions of the KdV equation
-
Deift, P; Venakides, S.; Zhou, X. The collisionless shock region for the long-time behavior of solutions of the KdV equation. Comm. Pure Appl. Math. 47 (1994), no. 2, 199-206.
-
(1994)
Comm. Pure Appl. Math.
, vol.47
, Issue.2
, pp. 199-206
-
-
Deift, P.1
Venakides, S.2
Zhou, X.3
-
14
-
-
1842665167
-
New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems
-
Deift, P.; Venakides, S.; Zhou, X. New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems. Internat. Math. Res. Notices 1997, no. 6, 286-299.
-
(1997)
Internat. Math. Res. Notices
, Issue.6
, pp. 286-299
-
-
Deift, P.1
Venakides, S.2
Zhou, X.3
-
15
-
-
0001525213
-
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
-
Deift, P.; Zhou, X. A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Ann. of Math. (2) 137 (1993), no. 2, 295-368.
-
(1993)
Ann. of Math. (2)
, vol.137
, Issue.2
, pp. 295-368
-
-
Deift, P.1
Zhou, X.2
-
16
-
-
84990647031
-
Asymptotics for the Painlevé II equation
-
Deift, P.; Zhou, X. Asymptotics for the Painlevé II equation. Comm. Pure Appl. Math. 48 (1995), no. 3, 277-337.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, Issue.3
, pp. 277-337
-
-
Deift, P.1
Zhou, X.2
-
18
-
-
0002412295
-
Geometry and modulation theory for the periodic nonlinear Schrödinger equation
-
The IMA Volumes in Mathematics and Its Applications, 2. Springer, New York
-
Forest, M. G.; Lee, J. E. Geometry and modulation theory for the periodic nonlinear Schrödinger equation. Oscillation theory, computation, and methods of compensated compactness (Minneapolis, Minn., 1985), 35-69. The IMA Volumes in Mathematics and Its Applications, 2. Springer, New York, 1986.
-
(1986)
Oscillation Theory, Computation, and Methods of Compensated Compactness (Minneapolis, Minn., 1985)
, pp. 35-69
-
-
Forest, M.G.1
Lee, J.E.2
-
20
-
-
0001649889
-
On the determination of a differential equation from its spectral function
-
Gel'fand, I. M.; Levitan, B. M. On the determination of a differential equation from its spectral function. Amer. Math. Soc. Transi. (2) 1 (1955), 253-304.
-
(1955)
Amer. Math. Soc. Transi. (2)
, vol.1
, pp. 253-304
-
-
Gel'fand, I.M.1
Levitan, B.M.2
-
21
-
-
0003498504
-
-
Academic, New York-London
-
Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. 4th ed. Academic, New York-London, 1965.
-
(1965)
Table of Integrals, Series, and Products. 4th Ed.
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
22
-
-
0141977334
-
The generation, propagation, and extinction of multiphases in the KdV zero-dispersion limit
-
Grava, T.; Tian, F.-R. The generation, propagation, and extinction of multiphases in the KdV zero-dispersion limit. Comm. Pure Appl. Math. 55 (2002), no. 12, 1569-1639.
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, Issue.12
, pp. 1569-1639
-
-
Grava, T.1
Tian, F.-R.2
-
23
-
-
0033438093
-
The semiclassical limit of the defocusing NLS hierarchy
-
Jin, S.; Levermore, C. D.; MCLaughlin, D. W. The semiclassical limit of the defocusing NLS hierarchy. Comm. Pure Appl. Math. 52 (1999), no. 5, 613-654.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.5
, pp. 613-654
-
-
Jin, S.1
Levermore, C.D.2
McLaughlin, D.W.3
-
24
-
-
85009055469
-
-
Annals of Mathematics Studies. Princeton University Press, Princeton, N.J.
-
Kamvissis, S.; McLaughlin, K. T.-R.; Miller, P. D. Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Annals of Mathematics Studies, 154. Princeton University Press, Princeton, N.J., 2003.
-
(2003)
Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation
, pp. 154
-
-
Kamvissis, S.1
McLaughlin, K.T.-R.2
Miller, P.D.3
-
25
-
-
84990575581
-
The small dispersion limit of the Korteweg-de Vries equation. I
-
Lax, P. D.; Levermore, C. D. The small dispersion limit of the Korteweg-de Vries equation. I. Comm. Pure Appl. Math. 36 (1983), no. 3, 253-290; II. Comm. Pure Appl. Math. 36 (1983), no. 5, 571-593.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, Issue.3
, pp. 253-290
-
-
Lax, P.D.1
Levermore, C.D.2
-
26
-
-
84990602637
-
The small dispersion limit of the Korteweg-de Vries equation. II
-
Lax, P. D.; Levermore, C. D. The small dispersion limit of the Korteweg-de Vries equation. I. Comm. Pure Appl. Math. 36 (1983), no. 3, 253-290; II. Comm. Pure Appl. Math. 36 (1983), no. 5, 571-593.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, Issue.5
, pp. 571-593
-
-
-
27
-
-
0000585098
-
Some problems of the theory of differential operators of the second order
-
Marchenko, V. A. Some problems of the theory of differential operators of the second order. Dokl. Akad. Nauk SSSR 72 (1950), 457-460.
-
(1950)
Dokl. Akad. Nauk SSSR
, vol.72
, pp. 457-460
-
-
Marchenko, V.A.1
-
28
-
-
0000861291
-
Recovery of the potential energy from the scattering wave phases
-
Marchenko, V. A. Recovery of the potential energy from the scattering wave phases. Dokl. Akad. Nauk SSSR 104 (1955), 695-698.
-
(1955)
Dokl. Akad. Nauk SSSR
, vol.104
, pp. 695-698
-
-
Marchenko, V.A.1
-
29
-
-
0036335780
-
Asymptotics of semiclassical soliton ensembles: Rigorous justification of the WKB approximation
-
Miller, P. D. Asymptotics of semiclassical soliton ensembles: rigorous justification of the WKB approximation. Int. Math. Res. Not. 2002, no. 8, 383-454.
-
(2002)
Int. Math. Res. Not.
, Issue.8
, pp. 383-454
-
-
Miller, P.D.1
-
30
-
-
0002023137
-
On the semiclassical limit of the focusing nonlinear Schrödinger equation
-
Miller, P. D.; Kamvissis, S. On the semiclassical limit of the focusing nonlinear Schrödinger equation. Phys. Lett. A 247 (1998), no. 1-2, 75-86.
-
(1998)
Phys. Lett. A
, vol.247
, Issue.1-2
, pp. 75-86
-
-
Miller, P.D.1
Kamvissis, S.2
-
31
-
-
0039430262
-
One-dimensional perturbations of a differential operator, and the inverse scattering problem
-
Nauka, Moscow
-
Šabat, A. B. One-dimensional perturbations of a differential operator, and the inverse scattering problem. Problems in mechanics and mathematical physics, 279-296. Nauka, Moscow, 1976.
-
(1976)
Problems in Mechanics and Mathematical Physics
, pp. 279-296
-
-
Šabat, A.B.1
-
32
-
-
0001000124
-
Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media
-
Satsuma, J.; Yajima, N. Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media. Progr. Theoret. Phys. Suppl. 55 (1974), 284-306.
-
(1974)
Progr. Theoret. Phys. Suppl.
, vol.55
, pp. 284-306
-
-
Satsuma, J.1
Yajima, N.2
-
33
-
-
84990619225
-
Oscillations of the zero dispersion limit of the Korteweg-de Vries equation
-
Tian, F.-R. Oscillations of the zero dispersion limit of the Korteweg-de Vries equation. Comm. Pure Appl. Math. 46 (1993), no. 8, 1093-1129.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, Issue.8
, pp. 1093-1129
-
-
Tian, F.-R.1
-
34
-
-
0039741902
-
The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases
-
Tovbis, A.; Venakides, S. The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases. Phys. D 146 (2000), no. 1-4, 150-164.
-
(2000)
Phys. D
, vol.146
, Issue.1-4
, pp. 150-164
-
-
Tovbis, A.1
Venakides, S.2
-
36
-
-
84990614472
-
The generation of modulated wavetrains in the solution of the Korteweg-de Vries equation
-
Venakides, S. The generation of modulated wavetrains in the solution of the Korteweg-de Vries equation. Comm. Pure Appl. Math. 38 (1985), no. 6, 883-909.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, Issue.6
, pp. 883-909
-
-
Venakides, S.1
-
37
-
-
84990574748
-
The zero dispersion limit of the Korteweg-de Vries equation for initial potentials with nontrivial reflection coefficient
-
Venakides, S. The zero dispersion limit of the Korteweg-de Vries equation for initial potentials with nontrivial reflection coefficient. Comm. Pure Appl. Math. 38 (1985), no. 2, 125-155.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, Issue.2
, pp. 125-155
-
-
Venakides, S.1
-
38
-
-
84967712805
-
The zero dispersion limit of the Korteweg-de Vries equation with periodic initial data
-
Venakides, S. The zero dispersion limit of the Korteweg-de Vries equation with periodic initial data. Trans. Amer. Math. Soc. 301 (1987), no. 1, 189-226.
-
(1987)
Trans. Amer. Math. Soc.
, vol.301
, Issue.1
, pp. 189-226
-
-
Venakides, S.1
-
39
-
-
84990586440
-
The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory
-
Venakides, S. The Korteweg-de Vries equation with small dispersion: higher order Lax-Levermore theory. Comm. Pure Appl. Math. 43 (1990), no. 3, 335-361.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, Issue.3
, pp. 335-361
-
-
Venakides, S.1
-
40
-
-
84990557809
-
The Toda shock problem
-
Venakides, S.; Deift, P.; Oba R. The Toda shock problem. Comm. Pure Appl. Math. 44 (1991), no. 8-9, 1171-1242.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, Issue.8-9
, pp. 1171-1242
-
-
Venakides, S.1
Deift, P.2
Oba, R.3
-
41
-
-
0002557939
-
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. Soviet Physics JETP 34 (1972), no. 1, 62-69.; translated from Ž. Èksper. Teoret. Fiz. 61 (1971), no. 1, 118-134.
-
(1972)
Soviet Physics JETP
, vol.34
, Issue.1
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
42
-
-
0000440099
-
-
translated from
-
Zakharov, V. E.; Shabat, A. B. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Soviet Physics JETP 34 (1972), no. 1, 62-69.; translated from Ž. Èksper. Teoret. Fiz. 61 (1971), no. 1, 118-134.
-
(1971)
Ž. Èksper. Teoret. Fiz.
, vol.61
, Issue.1
, pp. 118-134
-
-
|