-
1
-
-
36749114815
-
Nonlinear differential-difference equations and Fourier analysis
-
M.J. Ablowitz and J.F. Ladik, Nonlinear differential-difference equations and Fourier analysis, J. Math. Phys. 17 (1976) 1011-1018.
-
(1976)
J. Math. Phys.
, vol.17
, pp. 1011-1018
-
-
Ablowitz, M.J.1
Ladik, J.F.2
-
2
-
-
0003318097
-
Mathematical aspects of classical and celestial mechanics
-
V.I. Arnold, ed., Dynamical Systems III, Springer Verlag, Berlin
-
V.I. Arnold, V.V. Kozlov and A.I. Neishtadt, Mathematical aspects of classical and celestial mechanics, in: V.I. Arnold, ed., Dynamical Systems III, Volume 3 of Encyclopaedia of Mathematical Sciences (Springer Verlag, Berlin, 1988).
-
(1988)
Encyclopaedia of Mathematical Sciences
, vol.3
-
-
Arnold, V.I.1
Kozlov, V.V.2
Neishtadt, A.I.3
-
3
-
-
0026907971
-
Dispersive regularization of the Whitham equation for the Toda lattice
-
A.M. Bloch and Y. Kodama, Dispersive regularization of the Whitham equation for the Toda lattice, SIAM J. Appl. Math. (4) 52 (1992) 909-928.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, Issue.4
, pp. 909-928
-
-
Bloch, A.M.1
Kodama, Y.2
-
4
-
-
84972582761
-
On the weak limit of rapidly oscillating waves
-
L. Chierchia, N. Ercolani and D. McLaughlin, On the weak limit of rapidly oscillating waves, Duke Math. J. (4) 55 (1987) 759-764.
-
(1987)
Duke Math. J.
, vol.55
, Issue.4
, pp. 759-764
-
-
Chierchia, L.1
Ercolani, N.2
McLaughlin, D.3
-
5
-
-
22244468343
-
Resonances in multifrequency averaging theory
-
N. Ercolani, I. Gabitov, D. Levermore and D. Serre, eds., Singular Limits of Dispersive Waves, New York
-
S.Yu. Dobrokhotov, Resonances in multifrequency averaging theory, in: N. Ercolani, I. Gabitov, D. Levermore and D. Serre, eds., Singular Limits of Dispersive Waves, Plenum NATO ARW series, New York (1994) pp. 203-217.
-
(1994)
Plenum NATO ARW Series
, pp. 203-217
-
-
Dobrokhotov, S.Yu.1
-
6
-
-
84928007477
-
Theta functions and non-linear equations
-
B.A. Dubrovin, Theta functions and non-linear equations, Usp. Mat. Nauk (2) 36 (1981) 11-80.
-
(1981)
Usp. Mat. Nauk
, vol.36
, Issue.2
, pp. 11-80
-
-
Dubrovin, B.A.1
-
7
-
-
51249162979
-
Strongly nonlinear modal equations for nearly integrable pdes
-
N.M. Ercolani, M.G. Forest, D.W. McLaughlin and A. Sinha, Strongly nonlinear modal equations for nearly integrable pdes, J. Nonlin. Sci. 3 (1993) 393-426.
-
(1993)
J. Nonlin. Sci.
, vol.3
, pp. 393-426
-
-
Ercolani, N.M.1
Forest, M.G.2
McLaughlin, D.W.3
Sinha, A.4
-
9
-
-
84980178052
-
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
-
H. Flaschka, M.G. Forest and D.W. McLaughlin, Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation, Commun. Pure Appl. Math. 33 (1980) 739-784.
-
(1980)
Commun. Pure Appl. Math.
, vol.33
, pp. 739-784
-
-
Flaschka, H.1
Forest, M.G.2
McLaughlin, D.W.3
-
10
-
-
0002412295
-
Geometry and modulation theory for the periodic nonlinear Schrödinger equation
-
C. Dafermos, J.L. Erickson, D. Kinderleher and M. Slemrod, eds., Oscillation Theory, Computation, and Methods of Compensated Compactness, Springer Verlag, New York
-
M.G. Forest and J.E. Lee, Geometry and modulation theory for the periodic nonlinear Schrödinger equation, in: C. Dafermos, J.L. Erickson, D. Kinderleher and M. Slemrod, eds., Oscillation Theory, Computation, and Methods of Compensated Compactness, Volume 3 of IMA Volumes on Mathematics and its Applications (Springer Verlag, New York, 1986) pp. 35-69.
-
(1986)
IMA Volumes on Mathematics and Its Applications
, vol.3
, pp. 35-69
-
-
Forest, M.G.1
Lee, J.E.2
-
13
-
-
22244469748
-
-
private communication
-
M.H. Hays and Yixia Lu, private communication.
-
-
-
Hays, M.H.1
Lu, Y.2
-
14
-
-
0000953038
-
The behavior of solutions of the NLS equation in the semiclassical limit
-
N. Ercolani, I. Gabitov, D. Levermore and D. Serre, eds., Singular Limits of Dispersive Waves, New York
-
Shan Jin, C. David Levermore and David W. McLaughlin, The behavior of solutions of the NLS equation in the semiclassical limit, in: N. Ercolani, I. Gabitov, D. Levermore and D. Serre, eds., Singular Limits of Dispersive Waves, Plenum NATO ARW series, New York (1994) pp. 235-255.
-
(1994)
Plenum NATO ARW Series
, pp. 235-255
-
-
Jin, S.1
Levermore, C.D.2
McLaughlin, D.W.3
-
15
-
-
0010989303
-
Methods of algebraic geometry in the theory of nonlinear equations
-
I.M. Krichever, Methods of algebraic geometry in the theory of nonlinear equations, Russian Math. Surveys (6) 32 (1977) 185-213.
-
(1977)
Russian Math. Surveys
, vol.32
, Issue.6
, pp. 185-213
-
-
Krichever, I.M.1
-
17
-
-
84990575581
-
The small dispersion limit of the Korteweg-de Vries equation I, II, III
-
P.D. Lax and C.D. Levermore, The small dispersion limit of the Korteweg-de Vries equation I, II, III, Commun. Pure Appl. Math., 36 (1983) 253-290, 571-593, 809-829.
-
(1983)
Commun. Pure Appl. Math.
, vol.36
, pp. 253-290
-
-
Lax, P.D.1
Levermore, C.D.2
-
18
-
-
0012009827
-
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior
-
A.S. Fokas and V.E. Zakharov, eds., Springer Verlag, Berlin
-
P.D. Lax, C.D. Levermore and S. Venakides, The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior, in: A.S. Fokas and V.E. Zakharov, eds., Important Developments in Soliton Theory (Springer Verlag, Berlin, 1993) pp. 205-241.
-
(1993)
Important Developments in Soliton Theory
, pp. 205-241
-
-
Lax, P.D.1
Levermore, C.D.2
Venakides, S.3
-
19
-
-
22244469092
-
Large oscillations arising in a dispersive numerical scheme
-
Submitted
-
C.D. Levermore and J.G. Liu, Large oscillations arising in a dispersive numerical scheme, Submitted to Physica D (1995).
-
(1995)
Physica D
-
-
Levermore, C.D.1
Liu, J.G.2
-
20
-
-
22244465537
-
-
PhD thesis, Courant Institute of Mathematical Sciences, NYU
-
K. McLaughlin, PhD thesis, Courant Institute of Mathematical Sciences, NYU (1994).
-
(1994)
-
-
McLaughlin, K.1
-
22
-
-
22244485028
-
Elementary and composite defects of striped patterns
-
to appear (Paris)
-
A. Newell, T. Passot, N. Ercolani and R. Indik, Elementary and composite defects of striped patterns, to appear in J. Phys. (Paris).
-
J. Phys.
-
-
Newell, A.1
Passot, T.2
Ercolani, N.3
Indik, R.4
-
24
-
-
84990586440
-
Higher order Lax-Levermore theory
-
S. Venakides, Higher order Lax-Levermore theory, Commun. Pure Appl. Math. 43 (1990) 335-362.
-
(1990)
Commun. Pure Appl. Math.
, vol.43
, pp. 335-362
-
-
Venakides, S.1
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