-
2
-
-
0002244618
-
A theory of solitary waves in the presence of surface tension
-
C. J. AMICK AND K. KIRCHGÄSSNER, A theory of solitary waves in the presence of surface tension, Arch. Rational Mech. Anal., 105 (1989), pp. 1-49.
-
(1989)
Arch. Rational Mech. Anal.
, vol.105
, pp. 1-49
-
-
Amick, C.J.1
Kirchgässner, K.2
-
3
-
-
0000219244
-
Existence of perturbed solitary wave solutions to a model equation for water waves
-
J. K. HUNTER AND J. SCHEURLE, Existence of perturbed solitary wave solutions to a model equation for water waves, Physica D, 32 (1988), pp. 253-268.
-
(1988)
Physica D
, vol.32
, pp. 253-268
-
-
Hunter, J.K.1
Scheurle, J.2
-
4
-
-
45549111576
-
Structural instability of the Korteweg-de Vries solitons under a singular perturbation
-
Y. POMEAU, A. RAMANI, AND B. GRAMMATICOS, Structural instability of the Korteweg-de Vries solitons under a singular perturbation, Phys. D, 31 (1988), pp. 127-134.
-
(1988)
Phys. D
, vol.31
, pp. 127-134
-
-
Pomeau, Y.1
Ramani, A.2
Grammaticos, B.3
-
5
-
-
84971916750
-
On the existence of homoclinic and heteroclinic orbits for differential equations with a small parameter
-
J. G. BYATT-SMITH, On the existence of homoclinic and heteroclinic orbits for differential equations with a small parameter, European J. Appl. Math., 2 (1991), pp. 133-159.
-
(1991)
European J. Appl. Math.
, vol.2
, pp. 133-159
-
-
Byatt-Smith, J.G.1
-
7
-
-
85068161709
-
Weakly nonlocal solitary waves in a singularly perturbed Korteweg-de Vries equation
-
R. GRIMSHAW AND N. JOSHI, Weakly nonlocal solitary waves in a singularly perturbed Korteweg-de Vries equation, SIAM J. Appl. Math., 55 (1995), pp. 124-135.
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 124-135
-
-
Grimshaw, R.1
Joshi, N.2
-
8
-
-
0001472555
-
Weakly non-local solitons for capillary-gravity waves: Fifth degree Korteweg-de Vries equation
-
J. P. BOYD, Weakly non-local solitons for capillary-gravity waves: Fifth degree Korteweg-de Vries equation, Phys. D, 48 (1991), pp. 129-146.
-
(1991)
Phys. D
, vol.48
, pp. 129-146
-
-
Boyd, J.P.1
-
9
-
-
22244431913
-
Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem
-
A. R. CHAMPNEYS AND G. J. LORD, Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem, Phys. D, 102 (1997), pp. 101-124.
-
(1997)
Phys. D
, vol.102
, pp. 101-124
-
-
Champneys, A.R.1
Lord, G.J.2
-
10
-
-
33749316149
-
Solitary waves with surface tension I: Trajectories homoclinic to periodic orbits in four dimensions
-
C. J. AMICK AND J. F. ToLAND, Solitary waves with surface tension I: Trajectories homoclinic to periodic orbits in four dimensions, Arch. Rational Mech. Anal., 118 (1992), pp. 37-69.
-
(1992)
Arch. Rational Mech. Anal.
, vol.118
, pp. 37-69
-
-
Amick, C.J.1
ToLand, J.F.2
-
11
-
-
0028482026
-
Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation
-
S. M. SUN AND M. C. SHEN, Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation, Nonlinear Anal., 23 (1994), pp. 545-564.
-
(1994)
Nonlinear Anal.
, vol.23
, pp. 545-564
-
-
Sun, S.M.1
Shen, M.C.2
-
12
-
-
0013731089
-
Solitary and periodic gravity-capillary waves of finite amplitude
-
J. K. HUNTER AND J. M. VANDENBROECK, Solitary and periodic gravity-capillary waves of finite amplitude, J. Fluid Mech., 134 (1983), pp. 205-219.
-
(1983)
J. Fluid Mech.
, vol.134
, pp. 205-219
-
-
Hunter, J.K.1
Vandenbroeck, J.M.2
-
13
-
-
84990623719
-
Exact solitary water waves with capillary ripples at infinity
-
J. T. BEALE, Exact solitary water waves with capillary ripples at infinity, Comm. Pure Appl. Math., 44 (1991), pp. 211-247.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 211-247
-
-
Beale, J.T.1
-
14
-
-
0000648116
-
Existence of a generalized solitary wave with positive Bond number smaller than 1/3
-
S. M. SUN, Existence of a generalized solitary wave with positive Bond number smaller than 1/3, J. Math. Anal. Appl., 156 (1991), pp. 471-504.
-
(1991)
J. Math. Anal. Appl.
, vol.156
, pp. 471-504
-
-
Sun, S.M.1
-
15
-
-
0001933877
-
Water waves for small surface tension: An approach via normal form
-
G. Iooss AND K. KIRCHGÄSSNER, Water waves for small surface tension: An approach via normal form, Proc. Roy. Soc. Edinburgh Sect. A, 122 (1992), pp. 267-299.
-
(1992)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.122
, pp. 267-299
-
-
Iooss, G.1
Kirchgässner, K.2
-
16
-
-
0000606083
-
Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
-
S. M. SUN AND M. C. SHEN, Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave, J. Math. Anal. Appl., 172 (1993), pp. 533-566.
-
(1993)
J. Math. Anal. Appl.
, vol.172
, pp. 533-566
-
-
Sun, S.M.1
Shen, M.C.2
-
17
-
-
0031367392
-
Homoclinic orbits to exponentially small periodic orbits for a class of reversible systems. Application to water waves
-
E. LOMBARDI, Homoclinic orbits to exponentially small periodic orbits for a class of reversible systems. Application to water waves, Arch. Rational Mech. Anal., 137 (1997), pp. 227-304.
-
(1997)
Arch. Rational Mech. Anal.
, vol.137
, pp. 227-304
-
-
Lombardi, E.1
-
19
-
-
0001454630
-
Asymptotics beyond all orders in a model of crystal growth
-
M. D. KRUSKAL AND H. SEGUR, Asymptotics beyond all orders in a model of crystal growth, Stud. Appl. Math., 85 (1991), pp. 129-181.
-
(1991)
Stud. Appl. Math.
, vol.85
, pp. 129-181
-
-
Kruskal, M.D.1
Segur, H.2
-
20
-
-
38249011489
-
The use of Borel-summation in the establishment of non-existence of certain traveling-wave solutions of the Kuramoto-Sivashinsky equation
-
R. GRIMSHAW, The use of Borel-summation in the establishment of non-existence of certain traveling-wave solutions of the Kuramoto-Sivashinsky equation, Wave Motion, 15 (1992), pp. 393-395.
-
(1992)
Wave Motion
, vol.15
, pp. 393-395
-
-
Grimshaw, R.1
-
21
-
-
0000106540
-
Existence of nonexistence of solitary wave solutions to higher-order model evolution equations
-
S. KICHENASSAMY AND P. J. OLVER, Existence of nonexistence of solitary wave solutions to higher-order model evolution equations, SLAM J. Math. Anal., 23 (1992), pp. 1141-1166.
-
(1992)
SLAM J. Math. Anal.
, vol.23
, pp. 1141-1166
-
-
Kichenassamy, S.1
Olver, P.J.2
-
22
-
-
0000255261
-
Exponentially small splitting of separatrices with applications to KAM Theory and Degenerate Bifurcations
-
AMS, Providence, RI
-
P. HOLMES, J. MARSDEN, AND J. SCHEURLE, Exponentially small splitting of separatrices with applications to KAM Theory and Degenerate Bifurcations, Contemp. Math. 81, AMS, Providence, RI, 1988, pp. 213-244.
-
(1988)
Contemp. Math.
, vol.81
, pp. 213-244
-
-
Holmes, P.1
Marsden, J.2
Scheurle, J.3
-
23
-
-
21144460556
-
An asymptotic expression for the splitting of separatrices of rapidly forced pendulum
-
A. DELSHAMS AND T. M. SEARA, An asymptotic expression for the splitting of separatrices of rapidly forced pendulum, Comm. Math. Phys., 150 (1992), pp. 433-463.
-
(1992)
Comm. Math. Phys.
, vol.150
, pp. 433-463
-
-
Delshams, A.1
Seara, T.M.2
|