-
1
-
-
0000363750
-
The stability of solitary waves
-
T. B. Benjamin, The stability of solitary waves, Proc. Roy. Soc. London A 328 (1972), 153-183.
-
(1972)
Proc. Roy. Soc. London A
, vol.328
, pp. 153-183
-
-
Benjamin, T.B.1
-
2
-
-
0000133747
-
On the stability theory of solitary waves
-
J. L. Bona, On the stability theory of solitary waves, Proc. Roy. Soc. London A 349 (1975), 363-374.
-
(1975)
Proc. Roy. Soc. London A
, vol.349
, pp. 363-374
-
-
Bona, J.L.1
-
3
-
-
0020598661
-
The emergence of solutions of the Korteweg-de Vries equation from arbitrary initial conditions
-
W. Eckhaus and P. Schuur, The emergence of solutions of the Korteweg-de Vries equation from arbitrary initial conditions, Math. Meth. Appl. Sci. 5 (1983), 97-116.
-
(1983)
Math. Meth. Appl. Sci.
, vol.5
, pp. 97-116
-
-
Eckhaus, W.1
Schuur, P.2
-
4
-
-
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
-
5
-
-
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, Philos. Mag. 539 (1895), 422-443.
-
(1895)
Philos. Mag.
, vol.539
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
7
-
-
84990616663
-
On the stability of KdV multi-solitons
-
J. H. Maddocks and R. L. Sachs, On the stability of KdV multi-solitons, Comm. Pure Appl. Math. 46 (1993), 867-901.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 867-901
-
-
Maddocks, J.H.1
Sachs, R.L.2
-
8
-
-
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
-
9
-
-
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
-
10
-
-
0035609368
-
Asymptotic stability of solitons for subcritical generalized KdV equations
-
_, 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
-
-
-
11
-
-
0035635809
-
Instability of solitons for the critical generalized Korteweg-de Vries equation
-
_, Instability of solitons for the critical generalized Korteweg-de Vries equation, Geom. Funct. Anal 11 (2001), 74-123.
-
(2001)
Geom. Funct. Anal
, vol.11
, pp. 74-123
-
-
-
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
-
-
-
13
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for 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 subcritical gKdV equations, Comm. Math. Phys. 231 (2002), 347-373.
-
(2002)
Comm. Math. Phys.
, vol.231
, pp. 347-373
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
14
-
-
0001337201
-
Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
-
F. Merle, Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity, Comm. Math. Phys. 129 (1990), 223-240.
-
(1990)
Comm. Math. Phys.
, vol.129
, pp. 223-240
-
-
Merle, F.1
-
15
-
-
0035616659
-
Existence of blow-up solutions in the energy space for the critical generalized Korteweg-de Vries equation
-
_, Existence of blow-up solutions in the energy space for the critical generalized Korteweg-de Vries equation, J. Amer. Math. Soc. 14 (2001), 555-578.
-
(2001)
J. Amer. Math. Soc.
, vol.14
, pp. 555-578
-
-
-
16
-
-
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
-
17
-
-
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
-
18
-
-
21844510556
-
Asymptotic stability of solitary waves
-
R. L. Pego and M. I. Weinstein, Asymptotic stability of solitary waves, Comm. Math. Phys. 164 (1994), 305-349.
-
(1994)
Comm. Math. Phys.
, vol.164
, pp. 305-349
-
-
Pego, R.L.1
Weinstein, M.I.2
-
19
-
-
3342978482
-
-
Springer-Verlag, Berlin
-
P. C. Schuur, Asymptotic Analysis of Solitons Problems, Lecture Notes in Math., vol. 1232, Springer-Verlag, Berlin, 1986.
-
(1986)
Asymptotic Analysis of Solitons Problems, Lecture Notes in Math.
, vol.1232
-
-
Schuur, P.C.1
-
20
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
M. I. Weinstein, Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal. 16 (1985), 472-491.
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472-491
-
-
Weinstein, M.I.1
-
21
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
_, 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
-
-
-
22
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equation
-
Academic Press, NY
-
T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in Applied Mathematics, Adv. Math. Suppl. Stud., vol. 8, Academic Press, NY, 1983, pp. 93-128.
-
(1983)
Studies in Applied Mathematics, Adv. Math. Suppl. Stud.
, vol.8
, pp. 93-128
-
-
Kato, T.1
|