-
1
-
-
0024901384
-
Nonlocal Models for nonlinear dispersive waves
-
L. Abdelouhab, J. L. Bona, M. Felland, and J.-C. Saut, Nonlocal Models for nonlinear dispersive waves, Physica D 40 (1989), 360-392.
-
(1989)
Physica D
, vol.40
, pp. 360-392
-
-
Abdelouhab, L.1
Bona, J.L.2
Felland, M.3
Saut, J.-C.4
-
2
-
-
0001628959
-
The structure of two-dimensional solitons in media with anomalously small dispersion
-
L. A. Abramyan and Yu. A. Stepanyants, The structure of two-dimensional solitons in media with anomalously small dispersion, Sov. Phys. JETP 61 (1985), 963-966.
-
(1985)
Sov. Phys. JETP
, vol.61
, pp. 963-966
-
-
Abramyan, L.A.1
Stepanyants, Yu.A.2
-
3
-
-
0000223237
-
Comparisons between model equations for long waves
-
J. P. Albert and J. L. Bona, Comparisons between model equations for long waves, J. Nonlinear Sci. 1 (1991), 345-374.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 345-374
-
-
Albert, J.P.1
Bona, J.L.2
-
5
-
-
0000184890
-
Solitary wave solutions of nonlinear problems
-
T. B. Benjamin, J. L. Bona, and D. K. Bose, Solitary wave solutions of nonlinear problems, Philos. Trans. Royal. Soc. London, Ser. A 331 (1990), 195-244.
-
(1990)
Philos. Trans. Royal. Soc. London, Ser. A
, vol.331
, pp. 195-244
-
-
Benjamin, T.B.1
Bona, J.L.2
Bose, D.K.3
-
6
-
-
0001865962
-
Model equations for long waves in nonlinear dispersive systems
-
T. B. Benjamin, J. L. Bona, and J. J. Mahony, Model equations for long waves in nonlinear dispersive systems, Philos. Trans. Roy. Soc. London, Ser. A 272 (1972), 47-78.
-
(1972)
Philos. Trans. Roy. Soc. London, Ser. A
, vol.272
, pp. 47-78
-
-
Benjamin, T.B.1
Bona, J.L.2
Mahony, J.J.3
-
7
-
-
0003767054
-
"Integral Representations of Functions-Imbedding Theorems"
-
J. Wiley, New York
-
O. V. Besov, V. P. Il'in, and S. M. Nikolskii, "Integral Representations of Functions-Imbedding Theorems," Vol. 1, J. Wiley, New York, 1978.
-
(1978)
, vol.1
-
-
Besov, O.V.1
Il'in, V.P.2
Nikolskii, S.M.3
-
8
-
-
0000133747
-
On the stability theory of solitary waves
-
J. L. Bona, On the stability theory of solitary waves, Proc. Roy. Soc. London, Ser. A 344 (1975), 363-374.
-
(1975)
Proc. Roy. Soc. London, Ser. A
, vol.344
, pp. 363-374
-
-
Bona, J.L.1
-
9
-
-
0033229362
-
Comparison of model equations for small-amplitude long waves
-
J. L. Bona and H. Chen, Comparison of model equations for small-amplitude long waves, Nonlinear Anal. TMA, Ser. B 38 (1999), 625-664.
-
(1999)
Nonlinear Anal. TMA, Ser. B
, vol.38
, pp. 625-664
-
-
Bona, J.L.1
Chen, H.2
-
10
-
-
0000338933
-
A comparison of solutions of two model equations for long waves
-
J. L. Bona, W. G. Pritchard, and L. R. Scott, A comparison of solutions of two model equations for long waves, Lectures Appl. Math. 20 (1983), 235-265.
-
(1983)
Lectures Appl. Math.
, vol.20
, pp. 235-265
-
-
Bona, J.L.1
Pritchard, W.G.2
Scott, L.R.3
-
11
-
-
0002182394
-
The effect of change in the nonlinearity and dispersion relation of model equations for long waves
-
J. L. Bona and M. Scialom, The effect of change in the nonlinearity and dispersion relation of model equations for long waves, Canad. Appl. Math. Quart. 3 (1995), 1-41.
-
(1995)
Canad. Appl. Math. Quart.
, vol.3
, pp. 1-41
-
-
Bona, J.L.1
Scialom, M.2
-
12
-
-
0016883840
-
A model for the two-way propagation of water waves in a channel
-
J. L. Bona and R. Smith, A model for the two-way propagation of water waves in a channel, Math. Proc. Cambridge Philos. Soc., 79 (1976), 167-182.
-
(1976)
Math. Proc. Cambridge Philos. Soc.
, vol.79
, pp. 167-182
-
-
Bona, J.L.1
Smith, R.2
-
13
-
-
0023648120
-
Stability and instability of solitary waves of KDV-type
-
J. L. Bona, P. E. Souganidis, and W. A. Strauss, Stability and instability of solitary waves of KDV-type, Proc. Roy. Soc. London, Ser. A 411 (1987), 395-412.
-
(1987)
Proc. Roy. Soc. London, Ser. A
, vol.411
, pp. 395-412
-
-
Bona, J.L.1
Souganidis, P.E.2
Strauss, W.A.3
-
14
-
-
0002267149
-
Remarks on the stability of generalized KP solitary waves
-
A. de Bouard and J.-C. Saut, Remarks on the stability of generalized KP solitary waves, Contemp. Math. 200 (1996), 75-84.
-
(1996)
Contemp. Math.
, vol.200
, pp. 75-84
-
-
de Bouard, A.1
Saut, J.-C.2
-
16
-
-
0031502156
-
Symmetries and decay of the generalized KP solitary waves
-
A. de Bouard and J.-C. Saut, Symmetries and decay of the generalized KP solitary waves, SIAM J. Math. Anal. 28 (1997), 1064-1085.
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1064-1085
-
-
de Bouard, A.1
Saut, J.-C.2
-
17
-
-
0001285869
-
On the Cauchy problem for the Kadomtsev-Petviashvili equations
-
J. Bourgain, On the Cauchy problem for the Kadomtsev-Petviashvili equations, Geom. Funct. Anal. 3 (1993), 315-341.
-
(1993)
Geom. Funct. Anal.
, vol.3
, pp. 315-341
-
-
Bourgain, J.1
-
18
-
-
0001688084
-
An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
-
W. Craig, An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits, Comm. Partial Differential Equations 10 (1985), 787-1003.
-
(1985)
Comm. Partial Differential Equations
, vol.10
, pp. 787-1003
-
-
Craig, W.1
-
19
-
-
0346166989
-
On the Cauchy problem for certain multidimensional generalizations of the KDV equation
-
Memorias Escueia de Verano, Universidad Nacional de Colombia
-
A. V. Faminskii, On the Cauchy problem for certain multidimensional generalizations of the KDV equation, Memorias Escueia de Verano, Universidad Nacional de Colombia, 1994, pp. 15-26.
-
(1994)
, pp. 15-26
-
-
Faminskii, A.V.1
-
20
-
-
0001605032
-
On the solvability of the N-wave, Davey-Stewartson and Kadomtsev Petviashvili equations
-
A. S. Fokas and L. Y. Sung, On the solvability of the N-wave, Davey-Stewartson and Kadomtsev Petviashvili equations, Inverse Problems 8 (1992), 673-708.
-
(1992)
Inverse Problems
, vol.8
, pp. 673-708
-
-
Fokas, A.S.1
Sung, L.Y.2
-
21
-
-
84975987983
-
A note on tsunamis: Their generation and propagation in an ocean of uniform depth
-
J. L. Hammack, A note on tsunamis: their generation and propagation in an ocean of uniform depth, J. Fluid Mech. 60 (1973), 769-799.
-
(1973)
J. Fluid Mech.
, vol.60
, pp. 769-799
-
-
Hammack, J.L.1
-
22
-
-
0347907385
-
The Korteweg-de Vries equation and water waves. Comparison with experiments
-
J. L. Hammack and H. Segur, The Korteweg-de Vries equation and water waves, Part 2. Comparison with experiments, J. Fluid Mech. 65 (1974), 289-324.
-
(1974)
J. Fluid Mech.
, vol.65
, Issue.PART 2
, pp. 289-324
-
-
Hammack, J.L.1
Segur, H.2
-
25
-
-
0001758060
-
Dynamics of two-dimensional solitons in weakly dispersive media
-
V. I. Karpman and V. Yu. Belashov, Dynamics of two-dimensional solitons in weakly dispersive media, Phys. Lett. A 154 (1991), 131-139.
-
(1991)
Phys. Lett. A
, vol.154
, pp. 131-139
-
-
Karpman, V.I.1
Belashov, V.Yu.2
-
26
-
-
0001758058
-
Evolution of three-dimensional nonlinear pulses in weakly dispersive media
-
V. I. Karpman and V. Yu. Belashov, Evolution of three-dimensional nonlinear pulses in weakly dispersive media, Phys. Lett. A 154 (1991), 140-144.
-
(1991)
Phys. Lett. A
, vol.154
, pp. 140-144
-
-
Karpman, V.I.1
Belashov, V.Yu.2
-
27
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Advances in Mathematics, Supplementary Studies
-
T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Advances in Mathematics, Supplementary Studies, Stud. Appl. Math. 8 (1983), 93-128.
-
(1983)
Stud. Appl. Math.
, vol.8
, pp. 93-128
-
-
Kato, T.1
-
28
-
-
0004282455
-
"Elements of Soliton Theory"
-
Wiley, New York
-
G. L. Lamb, "Elements of Soliton Theory," Wiley, New York, 1980.
-
(1980)
-
-
Lamb, G.L.1
-
30
-
-
23044524074
-
Blow-up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation
-
Y. Liu, Blow-up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation, Trans. Amer. Math. Soc. 353 (2001), 191-208.
-
(2001)
Trans. Amer. Math. Soc.
, vol.353
, pp. 191-208
-
-
Liu, Y.1
-
31
-
-
0031539724
-
Nonlinear stability of solitary waves of the generalized Kadomtsev-Petviashvili equation
-
Y. Liu and X. P. Wang, Nonlinear stability of solitary waves of the generalized Kadomtsev-Petviashvili equation, Comm. Math. Phys. 183 (1997), 253-266.
-
(1997)
Comm. Math. Phys.
, vol.183
, pp. 253-266
-
-
Liu, Y.1
Wang, X.P.2
-
32
-
-
0001857482
-
Sur quelques généralisations de l'équation de Korteweg-de Vries
-
J.-C. Saut, Sur quelques généralisations de l'équation de Korteweg-de Vries, J. Math. Pures Appl. 58 (1979), 21-61.
-
(1979)
J. Math. Pures Appl.
, vol.58
, pp. 21-61
-
-
Saut, J.-C.1
-
33
-
-
0001349105
-
Remarks on the generalized Kadomtsev-Petviashvili equations
-
J.-C. Saut, Remarks on the generalized Kadomtsev-Petviashvili equations, Indiana Univ. Math. J. 42 (1993), 1011-1026.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 1011-1026
-
-
Saut, J.-C.1
-
34
-
-
0000944104
-
Recent results on the generalized Kadomtsev-Petviashvili Equations
-
J.-C. Saut, Recent results on the generalized Kadomtsev-Petviashvili Equations, Acta Appl. Math. 39 (1995), 477-487.
-
(1995)
Acta Appl. Math.
, vol.39
, pp. 477-487
-
-
Saut, J.-C.1
-
35
-
-
38249034207
-
Periodic solutions of Kadomtsev-Petviashvili
-
M. Schwarz, Periodic solutions of Kadomtsev-Petviashvili, Adv. Math. 66 (1987), 217-233.
-
(1987)
Adv. Math.
, vol.66
, pp. 217-233
-
-
Schwarz, M.1
-
36
-
-
0000595598
-
On the generalized Kadomtsev-Petviashvili equation
-
M. M. Tom, On the generalized Kadomtsev-Petviashvili equation, Contemp. Math. 200 (1996), 193-210.
-
(1996)
Contemp. Math.
, vol.200
, pp. 193-210
-
-
Tom, M.M.1
-
37
-
-
0011707081
-
Generalization of the KP-equations in several space dimension
-
preprint
-
M. M. Tom, Generalization of the KP-equations in several space dimension, preprint, 1997.
-
(1997)
-
-
Tom, M.M.1
-
38
-
-
0011738278
-
Remarks on global solutions of some generalizations of the KP equations
-
"SIAM Proceedings of the Fourth International Conference on Mathematics and Numerical Aspects of Wave Propagation" (John A. DeSanto, Ed.), SIAM, Philadelphia
-
M. M. Tom, Remarks on global solutions of some generalizations of the KP equations, "SIAM Proceedings of the Fourth International Conference on Mathematics and Numerical Aspects of Wave Propagation" (John A. DeSanto, Ed.), pp. 220-224, SIAM, Philadelphia, 1998.
-
(1998)
, pp. 220-224
-
-
Tom, M.M.1
-
39
-
-
0011706862
-
Some generalizations of the Kadomtsev-Petviashvili equations
-
M. M. Tom, Some generalizations of the Kadomtsev-Petviashvili equations, J. Math. Anal. Appl. 243 (2000), 64-84.
-
(2000)
J. Math. Anal. Appl.
, vol.243
, pp. 64-84
-
-
Tom, M.M.1
-
40
-
-
0001300143
-
Local solutions of the Kadomtsev-Petviashvili equations
-
S. Ukai, Local solutions of the Kadomtsev-Petviashvili equations, J. Fac. Sci. Univ. Tokyo Sect. 1A Math. 36 (1989), 193-209.
-
(1989)
J. Fac. Sci. Univ. Tokyo Sect. 1A Math.
, vol.36
, pp. 193-209
-
-
Ukai, S.1
-
41
-
-
0000988035
-
Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
-
X. P. Wang, M. J. Ablowitz, and H. Segur, Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation, Physica D 78 (1994), 241-265.
-
(1994)
Physica D
, vol.78
, pp. 241-265
-
-
Wang, X.P.1
Ablowitz, M.J.2
Segur, H.3
-
42
-
-
84946267644
-
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
-
M. Weinstein, Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation, Comm. Partial Differential Equations 12 (1987), 1133-1173.
-
(1987)
Comm. Partial Differential Equations
, vol.12
, pp. 1133-1173
-
-
Weinstein, M.1
-
43
-
-
85041933055
-
"Linear and Nonlinear Waves"
-
Wiley, New York
-
G. B. Whitham, "Linear and Nonlinear Waves," Wiley, New York, 1974.
-
(1974)
-
-
Whitham, G.B.1
-
44
-
-
0000783351
-
Shallow-water waves, the Korteweg-de Vries equation and solitons
-
N. J. Zabusky and C. J. Galvin, Shallow-water waves, the Korteweg-de Vries equation and solitons, J. Fluid Mech. 47 (1971), 811-824.
-
(1971)
J. Fluid Mech.
, vol.47
, pp. 811-824
-
-
Zabusky, N.J.1
Galvin, C.J.2
-
45
-
-
0001667050
-
Inverse scattering transform for the time dependent Schrödinger equations with application to the KP equations
-
X. Zhou, Inverse scattering transform for the time dependent ödinger equations with application to the KP equations, Comm. Math. Phys. 128 (1990), 551-564.
-
(1990)
Comm. Math. Phys.
, vol.128
, pp. 551-564
-
-
Zhou, X.1
|