-
1
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
-
D.J. Korteweg and G. de Vries, "On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves", Phil. Mag. 39, 422-443 (1895).
-
(1895)
Phil. Mag.
, vol.39
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
2
-
-
33846361348
-
Interaction of solitons in a collisionless plasma and the recurrence of initial states
-
N.J. Zabusky and M.D. Kruskal, "Interaction of solitons in a collisionless plasma and the recurrence of initial states", Phys. Rev. Lett. 15, 240-243 (1965).
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
3
-
-
36049057587
-
Method for solving the Korteweg-de Vries equation
-
C.S. Gardner, J.M. Green, M.D. Kruskal and R.M. Miura, "Method for solving the Korteweg-de Vries equation", Phys. Rev. Lett. 19, 1095-1097 (1967).
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Green, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
9
-
-
0007218762
-
On instability of some finite difference schemes for the Korteweg-de Vries equation
-
K. Goda, "On instability of some finite difference schemes for the Korteweg-de Vries equation", J. Phys. Soc. Japan 39, 229-236 (1975).
-
(1975)
J. Phys. Soc. Japan
, vol.39
, pp. 229-236
-
-
Goda, K.1
-
10
-
-
0000375325
-
An explicit finite difference scheme with exact conservation properties
-
J.M. Sanz-Serna, "An explicit finite difference scheme with exact conservation properties", J. Comput. Phys. 47, 199-210 (1982).
-
(1982)
J. Comput. Phys.
, vol.47
, pp. 199-210
-
-
Sanz-Serna, J.M.1
-
11
-
-
84968503320
-
A simplified Galerkin method for hyperbolic equations
-
R.C.Y. Chin, G.W. Hedstrom and K.E. Karlsson, "A simplified Galerkin method for hyperbolic equations", Math. Comput. 33, 647-658 (1979).
-
(1979)
Math. Comput.
, vol.33
, pp. 647-658
-
-
Chin, R.C.Y.1
Hedstrom, G.W.2
Karlsson, K.E.3
-
12
-
-
0345501255
-
A hopscotch method for the Korteweg-de Vries equation
-
I.S. Greig and J.L. Morris, "A hopscotch method for the Korteweg-de Vries equation", J. Comput. Phys. 20, 64-80 (1976).
-
(1976)
J. Comput. Phys.
, vol.20
, pp. 64-80
-
-
Greig, I.S.1
Morris, J.L.2
-
13
-
-
0017035968
-
The application of the spectral method to nonlinear wave propagation
-
H. Shamel and K. Elsässer, "The application of the spectral method to nonlinear wave propagation", J. Comput. Phys. 22, 501-516 (1976).
-
(1976)
J. Comput. Phys.
, vol.22
, pp. 501-516
-
-
Shamel, H.1
Elsässer, K.2
-
14
-
-
0018927101
-
Fourier expansion solution of the Korteweg-de Vries equation
-
K. Abe and O. Inoue, "Fourier expansion solution of the Korteweg-de Vries equation", J. Comput. Phys. 34, 202-210 (1980).
-
(1980)
J. Comput. Phys.
, vol.34
, pp. 202-210
-
-
Abe, K.1
Inoue, O.2
-
15
-
-
0000251609
-
Numerical solutions of the Korteweg-de Vries equation and its generalisations by the split-step Fourier method
-
F. Tappert, "Numerical solutions of the Korteweg-de Vries equation and its generalisations by the split-step Fourier method". Lectures in Appl. Math. 15, 215-216 (1974).
-
(1974)
Lectures in Appl. Math.
, vol.15
, pp. 215-216
-
-
Tappert, F.1
-
16
-
-
0015400805
-
Comparison of pseudospectral and spectral approximation
-
S.A. Orszag, "Comparison of pseudospectral and spectral approximation", Studies in Appl. Math. 51, 253-259 (1972).
-
(1972)
Studies in Appl. Math.
, vol.51
, pp. 253-259
-
-
Orszag, S.A.1
-
17
-
-
0000914453
-
Comparison of accurate methods for the integration of hyperbolic equations
-
H.-O. Kreiss and J. Oliger, "Comparison of accurate methods for the integration of hyperbolic equations", Tellus 24, 199-215 (1972).
-
(1972)
Tellus
, vol.24
, pp. 199-215
-
-
Kreiss, H.-O.1
Oliger, J.2
-
19
-
-
0016555995
-
On the Fourier method for the integration of hyperbolic equations
-
B. Fornberg, "On the Fourier method for the integration of hyperbolic equations", SIAM J. Numer. Anal. 12, 509-528 (1975).
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 509-528
-
-
Fornberg, B.1
-
20
-
-
0017901962
-
A numerical and theoretical study of certain nonlinear wave phenomena
-
B. Fornberg and G.B. Whitham, "A numerical and theoretical study of certain nonlinear wave phenomena", Phil. Trans. Roy. Soc. A289, 373-404 (1978).
-
(1978)
Phil. Trans. Roy. Soc.
, vol.A289
, pp. 373-404
-
-
Fornberg, B.1
Whitham, G.B.2
-
21
-
-
0001139323
-
Computational synergetics and mathematical innovation
-
N.J. Zabusky, "Computational synergetics and mathematical innovation", J. Comput. Phys. 43, 195-249 (1981).
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 195-249
-
-
Zabusky, N.J.1
-
22
-
-
11744334220
-
Studies of a non-linear lattice
-
M. Toda, "Studies of a non-linear lattice", Phys. Rep. 18, 1-124 (1975).
-
(1975)
Phys. Rep.
, vol.18
, pp. 1-124
-
-
Toda, M.1
-
23
-
-
0000346848
-
Recurrence of initial state of Korteweg-de Vries equation
-
K. Abe and T. Abe, "Recurrence of initial state of Korteweg-de Vries equation", Phys. Fluids 22, 1644-1646 (1979).
-
(1979)
Phys. Fluids
, vol.22
, pp. 1644-1646
-
-
Abe, K.1
Abe, T.2
-
24
-
-
0005356644
-
Recurrence of initial state of nonlinear ion waves
-
K. Abe and N. Satofuka, "Recurrence of initial state of nonlinear ion waves", Phys. Fluids 24, 1045-1048 (1981).
-
(1981)
Phys. Fluids
, vol.24
, pp. 1045-1048
-
-
Abe, K.1
Satofuka, N.2
-
25
-
-
0001276861
-
On the problem of energy equipartition for large systems of the fermi-pasta-ulam type: Analytical and numerical estimates
-
L. Galgani, A. Giorgilli, A. Martinoli and S. Vanzini, "On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: analytical and numerical estimates", Physica D 59, 334-348 (1992).
-
(1992)
Physica D
, vol.59
, pp. 334-348
-
-
Galgani, L.1
Giorgilli, A.2
Martinoli, A.3
Vanzini, S.4
-
26
-
-
0001379378
-
Nonlinear evolution of disturbances in plasmas and other dispersive media
-
Y.A. Berezin and V.I. Karpman, "Nonlinear evolution of disturbances in plasmas and other dispersive media", Sov. Phys. JETP 24, 1049-1056 (1966).
-
(1966)
Sov. Phys. JETP
, vol.24
, pp. 1049-1056
-
-
Berezin, Y.A.1
Karpman, V.I.2
-
27
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
P.D. Lax, "Integrals of nonlinear equations of evolution and solitary waves", Comm. Pure Appl. Math. 21, 467-490 (1968).
-
(1968)
Comm. Pure Appl. Math.
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
28
-
-
0007677339
-
The exact N-soliton solution of the Korteweg-de Vries equation
-
M. Wadati and M. Toda, "The exact N-soliton solution of the Korteweg-de Vries equation", J. Phys. Soc. Japan 32, 1403-1411 (1972).
-
(1972)
J. Phys. Soc. Japan
, vol.32
, pp. 1403-1411
-
-
Wadati, M.1
Toda, M.2
-
29
-
-
0022098032
-
Internal structure of the two-soliton solution of the KdV equation
-
S. Caenepeel and W. Malfiet, "Internal structure of the two-soliton solution of the KdV equation", Wave Motion 7, 299-305 (1985).
-
(1985)
Wave Motion
, vol.7
, pp. 299-305
-
-
Caenepeel, S.1
Malfiet, W.2
-
30
-
-
24444473070
-
Interaction time of Korteweg-de Vries solitons
-
N. Hatakenaka, "Interaction time of Korteweg-de Vries solitons", Phys. Rev. E 48, 4033-4036 (1993).
-
(1993)
Phys. Rev. E
, vol.48
, pp. 4033-4036
-
-
Hatakenaka, N.1
-
33
-
-
0002404627
-
Identifying coherent structures in nonlinear wave propagation
-
W.I. Newman, D.K. Campbell and J.M. Hyman, "Identifying coherent structures in nonlinear wave propagation", Chaos 1, 77-94 (1991).
-
(1991)
Chaos
, vol.1
, pp. 77-94
-
-
Newman, W.I.1
Campbell, D.K.2
Hyman, J.M.3
-
34
-
-
0022075599
-
Fourier methods with extended stability intervals for the Korteweg-de Vries equation
-
T.F. Chan and T. Kerkhoven, "Fourier methods with extended stability intervals for the Korteweg-de Vries equation", SIAM J. Numer. Anal. 22, 441-454 (1985).
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 441-454
-
-
Chan, T.F.1
Kerkhoven, T.2
-
35
-
-
0039048840
-
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
-
M. He-Ping and G. Ben-Yu, "The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation", J. Comput. Phys. 65, 120-137 (1986).
-
(1986)
J. Comput. Phys.
, vol.65
, pp. 120-137
-
-
He-Ping, M.1
Ben-Yu, G.2
-
36
-
-
0039640939
-
Parametric excitation of computational modes inherent to leap-frog scheme applied to the Korteweg-de Vries equation
-
A. Aoyagi and K. Abe, "Parametric excitation of computational modes inherent to leap-frog scheme applied to the Korteweg-de Vries equation", J. Comput. Phys. 83, 447-462 (1989).
-
(1989)
J. Comput. Phys.
, vol.83
, pp. 447-462
-
-
Aoyagi, A.1
Abe, K.2
-
37
-
-
84908833489
-
Solitons formation from a harmonic input in a Korteweg-de Vries system
-
unpublished
-
A. Salupere, G.A. Maugin and J. Engelbrecht, "Solitons formation from a harmonic input in a Korteweg-de Vries system", Inst. of Cybernetics, Estonian Acad. Sci. Research Report, Mech. 110/94 (1994), (unpublished).
-
(1994)
Inst. of Cybernetics, Estonian Acad. Sci. Research Report, Mech.
, vol.110
, Issue.94
-
-
Salupere, A.1
Maugin, G.A.2
Engelbrecht, J.3
-
39
-
-
0039048801
-
On the prediction of the number of solitons excited by an arbitrary potential: An observation from inverse scattering
-
P.J. Hansen and K.E. Lonngren, "On the prediction of the number of solitons excited by an arbitrary potential: An observation from inverse scattering", Physica D 68, 12-17 (1993).
-
(1993)
Physica D
, vol.68
, pp. 12-17
-
-
Hansen, P.J.1
Lonngren, K.E.2
-
40
-
-
0005285446
-
Nonlinear lattice dynamics and energy sharing
-
N.J. Zabusky, "Nonlinear lattice dynamics and energy sharing", J. Phys. Soc. Japan 26, suppl. 196-202 (1969).
-
(1969)
J. Phys. Soc. Japan
, vol.26
, Issue.SUPPL.
, pp. 196-202
-
-
Zabusky, N.J.1
-
41
-
-
51249186540
-
Nonlinear Fourier analysis of localized wave fields described by the Korteweg-de Vries equation
-
A.R. Osborne, A, Provenzale and L. Bergamasco, "Nonlinear Fourier analysis of localized wave fields described by the Korteweg-de Vries equation", Il Nuovo Cimento 5, 612-632 (1982).
-
(1982)
Il Nuovo Cimento
, vol.5
, pp. 612-632
-
-
Osborne, A.R.1
Provenzale, A.2
Bergamasco, L.3
-
42
-
-
4244103661
-
Behaviour of solitons in random-function solutions of the periodic Korteweg-de Vries equation
-
A.R. Osborne, "Behaviour of solitons in random-function solutions of the periodic Korteweg-de Vries equation", Phys. Rev. Lett. 71, 3115-3118 (1993).
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 3115-3118
-
-
Osborne, A.R.1
-
43
-
-
0039640941
-
The numerical inverse scattering transform for the periodic Korteweg-de Vries equation
-
A.R. Osborne and E. Segre, "The numerical inverse scattering transform for the periodic Korteweg-de Vries equation", Phys. Lett. A 173, 131-142 (1993).
-
(1993)
Phys. Lett. A
, vol.173
, pp. 131-142
-
-
Osborne, A.R.1
Segre, E.2
-
44
-
-
0040232804
-
Korteweg-de Vries soliton detection from a harmonic input
-
A. Salupere, G.A. Maugin and J. Engelbrecht, "Korteweg-de Vries soliton detection from a harmonic input", Phys. Lett. A 192, 5-8 (1994).
-
(1994)
Phys. Lett. A
, vol.192
, pp. 5-8
-
-
Salupere, A.1
Maugin, G.A.2
Engelbrecht, J.3
-
45
-
-
0040232802
-
Spectral analysis of soliton formation
-
World Sci., London, (accepted)
-
J. Engelbrecht, A. Salupere, T. Peipman and G.A. Maugin, "Spectral analysis of soliton formation", in: Proc. of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids, Hannover, Germany, 1994, World Sci., London, (accepted).
-
(1994)
Proc. of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids, Hannover, Germany
-
-
Engelbrecht, J.1
Salupere, A.2
Peipman, T.3
Maugin, G.A.4
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