-
1
-
-
0000363750
-
The stability of solitary waves
-
Benjamin T B 1972 The stability of solitary waves Proc. R. Soc. A 328 153-83
-
(1972)
Proc. R. Soc. A
, vol.328
, pp. 153-183
-
-
Benjamin, T.B.1
-
2
-
-
0001865962
-
Model equations for long waves nonlinear dispersion systems
-
Benjamin T B, Bona J L and Mahony J J 1972 Model equations for long waves nonlinear dispersion systems Phil. Trans. R. Soc. 272 47-78
-
(1972)
Phil. Trans. R. Soc.
, vol.272
, pp. 47-78
-
-
Benjamin, T.B.1
Bona, J.L.2
Mahony, J.J.3
-
3
-
-
0000133747
-
On the stability theory of solitary waves
-
Bona J L 1975 On the stability theory of solitary waves Proc. R. Soc. A 349 363-74
-
(1975)
Proc. R. Soc. A
, vol.349
, pp. 363-374
-
-
Bona, J.L.1
-
4
-
-
0346343593
-
Stabilité asymptotique des ondes solitaires de l'équation de Benjamin-Bona-Mahony
-
El Dika K 2003 Stabilité asymptotique des ondes solitaires de l'équation de Benjamin-Bona-Mahony C.R. Acad. Sci., Paris, 1337 649-52
-
(2003)
C.R. Acad. Sci., Paris
, vol.1337
, pp. 649-652
-
-
El Dika, K.1
-
6
-
-
0020598661
-
The emergence of solutions of the Korteweg-de Vries equation from arbitrary initial conditions
-
Eckhaus W and Schuur P 1983 The emergence of solutions of the Korteweg-de Vries equation from arbitrary initial conditions Math. Methods Appl. Sci. 5 97-116
-
(1983)
Math. Methods Appl. Sci.
, vol.5
, pp. 97-116
-
-
Eckhaus, W.1
Schuur, P.2
-
8
-
-
21844484032
-
Focusing nonlinear Schrödinger equation with infinitely many solitons
-
Kamvissis S 1995 Focusing nonlinear Schrödinger equation with infinitely many solitons J. Math. Phys. 36 4175-80
-
(1995)
J. Math. Phys.
, vol.36
, pp. 4175-4180
-
-
Kamvissis, S.1
-
9
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
Kenig C E, Ponce G and Vega L 1993 Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle Commun. Pure Appl. Math. 46 527-620
-
(1993)
Commun. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
10
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
-
Korteweg D J and de Vries G 1895 On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves Philos. Mag. 539 422-43
-
(1895)
Philos. Mag.
, vol.539
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
13
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
Lax P D 1968 Integrals of nonlinear equations of evolution and solitary waves Commun. Pure Appl. Math. 21 467-90
-
(1968)
Commun. Pure Appl. Math.
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
14
-
-
11844254027
-
Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
-
at press
-
Martel Y 2004 Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations Am. J. Math. at press
-
(2004)
Am. J. Math.
-
-
Martel, Y.1
-
15
-
-
0035635809
-
Instability of solitons for the critical generalized Korteweg-de Vries equation
-
Martel Y and Merle F 2001 Instability of solitons for the critical generalized Korteweg-de Vries equation Geom. Fund. Anal. 1174-123
-
(2001)
Geom. Fund. Anal.
, vol.11
, pp. 74-123
-
-
Martel, Y.1
Merle, F.2
-
16
-
-
0034164847
-
A Liouville theorem for the critical generalized Korteweg-de Vries equation
-
Martel Y and Merle F 2000 A Liouville theorem for the critical generalized Korteweg-de Vries equation J. Math. Pures Appl. 79 339-425
-
(2000)
J. Math. Pures Appl.
, vol.79
, pp. 339-425
-
-
Martel, Y.1
Merle, F.2
-
17
-
-
0035609368
-
Asymptotic stability of solitons for subcritical generalized KdV equations
-
Martel Y and Merle F 2001 Asymptotic stability of solitons for subcritical generalized KdV equations Arch. Ration. Mech. Anal. 157 219-54
-
(2001)
Arch. Ration. Mech. Anal.
, vol.157
, pp. 219-254
-
-
Martel, Y.1
Merle, F.2
-
18
-
-
0036000529
-
Stability of blow up profile and lower bounds for blow up rate for the critical generalized KdV equation
-
Martel Y and Merle F 2002 Stability of blow up profile and lower bounds for blow up rate for the critical generalized KdV equation Ann. Math. 155 235-80
-
(2002)
Ann. Math.
, vol.155
, pp. 235-280
-
-
Martel, Y.1
Merle, F.2
-
19
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
-
Martel Y, Merle F and Tsai T-P 2002 Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations Commun. Math. Phys. 231 347-73
-
(2002)
Commun. Math. Phys.
, vol.231
, pp. 347-373
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
20
-
-
0016973738
-
The Korteweg-de Vries equation: A survey of results
-
Miura R M 1976 The Korteweg-de Vries equation: a survey of results SIAM Rev. 18 412-59
-
(1976)
SIAM Rev.
, vol.18
, pp. 412-459
-
-
Miura, R.M.1
-
21
-
-
0035538185
-
Large time asymptotics of solutions around solitary waves to the generalized Korteweg-de Vries equations
-
Mizumachi T 2001 Large time asymptotics of solutions around solitary waves to the generalized Korteweg-de Vries equations SIAM J. Math. Anal. 32 1050-80
-
(2001)
SIAM J. Math. Anal.
, vol.32
, pp. 1050-1080
-
-
Mizumachi, T.1
-
22
-
-
2442646154
-
Asymptotic stability of solitary wave solutions to the regularized long wave equation
-
Mizumachi T 2004 Asymptotic stability of solitary wave solutions to the regularized long wave equation J. Diff. Eqns 200 312-41
-
(2004)
J. Diff. Eqns
, vol.200
, pp. 312-341
-
-
Mizumachi, T.1
-
23
-
-
21844510556
-
Asymptotic stability of solitary waves
-
Pego R L and Weinstein M I 1994 Asymptotic stability of solitary waves Commun. Math. Phys. 164 305-49
-
(1994)
Commun. Math. Phys.
, vol.164
, pp. 305-349
-
-
Pego, R.L.1
Weinstein, M.I.2
-
25
-
-
0007677339
-
The exact N-soliton solution of the Korteweg-de Vries equation
-
Wadati M and Toda M 1972 The exact N-soliton solution of the Korteweg-de Vries equation J. Phys. Soc. Japan 32 1403-11
-
(1972)
J. Phys. Soc. Japan
, vol.32
, pp. 1403-1411
-
-
Wadati, M.1
Toda, M.2
-
26
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
Weinstein M I 1985 Modulational stability of ground states of nonlinear Schrödinger equations SIAM J. Math. Anal. 16 472-91
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472-491
-
-
Weinstein, M.I.1
-
27
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
Weinstein M I 1986 Lyapunov stability of ground states of nonlinear dispersive evolution equations Commun. Pure Appl. Math. 3951-68
-
(1986)
Commun. Pure Appl. Math.
, vol.39
, pp. 51-68
-
-
Weinstein, M.I.1
|