-
1
-
-
0020591567
-
Nonlinear scalar field equations. I. Existence of a ground state
-
H. Berestycki and P.-L. Lions, Nonlinear scalar field equations. I. Existence of a ground state, Arch. Rational Mech. Anal., 82 (1983), 313-345.
-
(1983)
Arch. Rational Mech. Anal
, vol.82
, pp. 313-345
-
-
Berestycki, H.1
Lions, P.-L.2
-
2
-
-
33744797365
-
Solitary water wave interactions
-
W. Craig, P. Guyenne, J. Hammack, D. Henderson and C. Sulem, Solitary water wave interactions, Phys. Fluids, 18 (2006).
-
(2006)
Phys. Fluids
, vol.18
-
-
Craig, W.1
Guyenne, P.2
Hammack, J.3
Henderson, D.4
Sulem, C.5
-
3
-
-
35949040541
-
Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
-
R. Hirota, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys. Rev. Lett., 27 (1971), 1192-1194.
-
(1971)
Phys. Rev. Lett
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
4
-
-
41649105232
-
-
T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in applied mathematics, 93-128, Adv. Math. Suppl. Stud., 8, Academic Press, New York, 1983.
-
T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in applied mathematics, 93-128, Adv. Math. Suppl. Stud., 8, Academic Press, New York, 1983.
-
-
-
-
5
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
C. E. Kenig, G. Ponce and L. Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math., 46 (1993), 527-620.
-
(1993)
Comm. Pure Appl. Math
, vol.46
, pp. 527-620
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
6
-
-
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 (1968), 467-490.
-
(1968)
Comm. Pure Appl. Math
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
7
-
-
4243069100
-
Soliton collisions in the ion acoustic plasma equations
-
Yi Li and D.H. Sattinger, Soliton collisions in the ion acoustic plasma equations, J. Math. Fluid Mech., 1 (1999), 117-130.
-
(1999)
J. Math. Fluid Mech
, vol.1
, pp. 117-130
-
-
Li, Y.1
Sattinger, D.H.2
-
8
-
-
27544509563
-
Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
-
Y. Martel, Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations, Amer. J. Math., 127 (2005), 1103-1140.
-
(2005)
Amer. J. Math
, vol.127
, pp. 1103-1140
-
-
Martel, Y.1
-
9
-
-
34249016378
-
Linear problems related to asymptotic stability of solitons of the generalized KdV equations
-
Y. Martel, Linear problems related to asymptotic stability of solitons of the generalized KdV equations, SIAM J. Math. Anal., 38 (2006), 759-781.
-
(2006)
SIAM J. Math. Anal
, vol.38
, pp. 759-781
-
-
Martel, Y.1
-
10
-
-
0034164847
-
A Liouville theorem for the critical generalized Korteweg-de Vries equation
-
Y. Martel and F. Merle, A Liouville theorem for the critical generalized Korteweg-de Vries equation, J. Math. Pures Appl., 79 (2000), 339-425.
-
(2000)
J. Math. Pures Appl
, vol.79
, pp. 339-425
-
-
Martel, Y.1
Merle, F.2
-
11
-
-
0035609368
-
Asymptotic stability of solitons for subcritical generalized KdV equations
-
Y. Martel and F. Merle, Asymptotic stability of solitons for subcritical generalized KdV equations, Arch. Ration. Mech. Anal., 157 (2001), 219-254.
-
(2001)
Arch. Ration. Mech. Anal
, vol.157
, pp. 219-254
-
-
Martel, Y.1
Merle, F.2
-
12
-
-
0036016142
-
2-critical generalized KdV equations
-
2-critical generalized KdV equations, J. Amer. Math. Soc., 15 (2002), 617-664.
-
(2002)
J. Amer. Math. Soc
, vol.15
, pp. 617-664
-
-
Martel, Y.1
Merle, F.2
-
13
-
-
11844251264
-
Asymptotic stability of saluons of the subcritical gKdV equations revisited
-
Y. Martel and F. Merle, Asymptotic stability of saluons of the subcritical gKdV equations revisited, Nonlinearity, 18 (2005), 55-80.
-
(2005)
Nonlinearity
, vol.18
, pp. 55-80
-
-
Martel, Y.1
Merle, F.2
-
14
-
-
41649092228
-
Asymptotic stability of solitons of the gKdV equations with a general nonlinearity
-
to appear in
-
Y. Martel and F. Merle, Asymptotic stability of solitons of the gKdV equations with a general nonlinearity, to appear in Math. Annalen.
-
Math. Annalen
-
-
Martel, Y.1
Merle, F.2
-
15
-
-
41649092621
-
-
Y. Martel and F. Merle, Description of two soliton collision for the quartic gKdV equation, arXiv:0709.2672v1
-
Y. Martel and F. Merle, Description of two soliton collision for the quartic gKdV equation, arXiv:0709.2672v1
-
-
-
-
17
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for the subcritical gKdV equations
-
Y. Martel, F. Merle and Tai-Peng Tsai, Stability and asymptotic stability in the energy space of the sum of N solitons for the subcritical gKdV equations, Commun. Math. Phys., 231 (2002), 347-373.
-
(2002)
Commun. Math. Phys
, vol.231
, pp. 347-373
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
18
-
-
0016973738
-
The Korteweg-de Vries equation: A survey of results
-
R. M. Miura, The Korteweg-de Vries equation: a survey of results, SIAM Review, 18 (1976) 412-459.
-
(1976)
SIAM Review
, vol.18
, pp. 412-459
-
-
Miura, R.M.1
-
19
-
-
0035538185
-
Large time asymptotics of solutions around solitary waves to the generalized Korteweg-de Vries equations
-
T. Mizumachi, Large time asymptotics of solutions around solitary waves to the generalized Korteweg-de Vries equations, SIAM J. Math. Anal., 32 (2001), 1050-1080.
-
(2001)
SIAM J. Math. Anal
, vol.32
, pp. 1050-1080
-
-
Mizumachi, T.1
-
20
-
-
21844510556
-
Asymptotic stability of solitary waves
-
R. L. Pego and M.I. Weinstein, Asymptotic stability of solitary waves, Commun. Math. Phys. 164 (1994), 305-349.
-
(1994)
Commun. Math. Phys
, vol.164
, pp. 305-349
-
-
Pego, R.L.1
Weinstein, M.I.2
-
21
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
M. I. Weinstein, Lyapunov stability of ground states of nonlinear dispersive evolution equations, Comm. Pure Appl. Math., 39 (1986), 51-68.
-
(1986)
Comm. Pure Appl. Math
, vol.39
, pp. 51-68
-
-
Weinstein, M.I.1
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