-
1
-
-
84990623719
-
Exact solitary water waves with capillary ripples at infinity
-
Beale, J.T.: Exact solitary water waves with capillary ripples at infinity. Commun. Pure Appl. Math. 44, 211-247 (1991)
-
(1991)
Commun. Pure Appl. Math.
, vol.44
, pp. 211-247
-
-
Beale, J.T.1
-
2
-
-
0001472555
-
Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
-
Boyd, J.P.: Weakly non-local solitons for capillary-gravity waves: fifth-degree Korteweg-de Vries equation. Physica D 48, 129-146 (1991)
-
(1991)
Physica D
, vol.48
, pp. 129-146
-
-
Boyd, J.P.1
-
3
-
-
0032626743
-
Do envelope solitons radiate?
-
Calvo, D.C., Akylas, T.R.: Do envelope solitons radiate? J. Eng. Math. 36, 41-56 (1999)
-
(1999)
J. Eng. Math.
, vol.36
, pp. 41-56
-
-
Calvo, D.C.1
Akylas, T.R.2
-
4
-
-
0001002051
-
On the stability of solitary waves with decaying oscillatory tails
-
Calvo, D.C., Yang, T.S., Akylas, T.R.: On the stability of solitary waves with decaying oscillatory tails. Proc. R. Soc. Lond. A 456, 469-487 (2000)
-
(2000)
Proc. R. Soc. Lond. A
, vol.456
, pp. 469-487
-
-
Calvo, D.C.1
Yang, T.S.2
Akylas, T.R.3
-
6
-
-
85068161709
-
Weakly nonlocal solitary waves in a singularly perturbed Korteweg-de Vries equation
-
Grimshaw, R., Joshi, N.: Weakly nonlocal solitary waves in a singularly perturbed Korteweg-de Vries equation. SIAM J. Appl. Math. 55, 124-135 (1995)
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 124-135
-
-
Grimshaw, R.1
Joshi, N.2
-
7
-
-
34447102560
-
On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval
-
Goubet, O., Shen, J.: On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval. Adv. Differ. Equ. 12, 221-239 (2007)
-
(2007)
Adv. Differ. Equ.
, vol.12
, pp. 221-239
-
-
Goubet, O.1
Shen, J.2
-
8
-
-
43949152904
-
Solitary waves with damped oscillatory tails: An analysis of the fifth-order Korteweg-de Vries equation
-
Grimshaw, R., Malomed, B., Benilov, E.: Solitary waves with damped oscillatory tails: an analysis of the fifth-order Korteweg-de Vries equation. Physica D 77, 473-485 (1994)
-
(1994)
Physica D
, vol.77
, pp. 473-485
-
-
Grimshaw, R.1
Malomed, B.2
Benilov, E.3
-
9
-
-
0000219244
-
Existence of perturbed solitary wave solutions to a model equation for water waves
-
Hunter, J.K., Scheurle, J.: Existence of perturbed solitary wave solutions to a model equation for water waves. Phys. D 32, 253-268 (1988)
-
(1988)
Phys. D
, vol.32
, pp. 253-268
-
-
Hunter, J.K.1
Scheurle, J.2
-
10
-
-
0013731089
-
Solitary and periodic gravity-capillary waves of finite amplitude
-
Hunter, J.K., Vanden-Broeck, J.-M.: Solitary and periodic gravity-capillary waves of finite amplitude. J. Fluid Mech. 134, 205-219 (1983)
-
(1983)
J. Fluid Mech.
, vol.134
, pp. 205-219
-
-
Hunter, J.K.1
Vanden-Broeck, J.-M.2
-
11
-
-
77952762814
-
Oscillatory solitary waves in dispersive media
-
Kawahara, R.: Oscillatory solitary waves in dispersive media. J. Phys. Soc. Jpn. 33, 260-264 (1972)
-
(1972)
J. Phys. Soc. Jpn.
, vol.33
, pp. 260-264
-
-
Kawahara, R.1
-
12
-
-
0000106540
-
Existence and nonexistence of solitary wave solutions to high-order model evolution equations
-
Kichenassamy, S., Olver, P.J.: Existence and nonexistence of solitary wave solutions to high-order model evolution equations. SIAM J. Math. Anal. 23, 1141-1166 (1992)
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 1141-1166
-
-
Kichenassamy, S.1
Olver, P.J.2
-
13
-
-
0021786962
-
A numerical study of water-wave modulation based on a high-order nonlinear Schrödinger equations
-
Lo, E., Mei, C.C.: A numerical study of water-wave modulation based on a high-order nonlinear Schrödinger equations. J. Fluid Mech. 150, 395-416 (1985)
-
(1985)
J. Fluid Mech.
, vol.150
, pp. 395-416
-
-
Lo, E.1
Mei, C.C.2
-
14
-
-
45549111576
-
Structural stability of the Korteweg-de Vries solitons under a singular perturbation
-
Pomeau, Y., Ramani, A., Grammaticos, B.: Structural stability of the Korteweg-de Vries solitons under a singular perturbation. Physica D 31, 127-134 (1988)
-
(1988)
Physica D
, vol.31
, pp. 127-134
-
-
Pomeau, Y.1
Ramani, A.2
Grammaticos, B.3
-
16
-
-
0000567049
-
Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials
-
Shen, J.: Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials. SIAM J. Sci. Comput. 15, 1489-1505 (1994)
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1489-1505
-
-
Shen, J.1
-
17
-
-
0002043336
-
Efficient Chebyshev-Legendre Galerkin methods for elliptic problems
-
Ilin, A.V., Scott, R. (eds.) Proceedings of ICOSAHOM'95, Houston
-
Shen, J.: Efficient Chebyshev-Legendre Galerkin methods for elliptic problems. In: Ilin, A.V., Scott, R. (eds.) Proceedings of ICOSAHOM'95, Houston. J. Math., pp. 233-240 (1996)
-
(1996)
J. Math.
, pp. 233-240
-
-
Shen, J.1
-
18
-
-
9244255255
-
A new dual-Petrov-Galerkin method for third and higher odd-order differential equations: Application to the KdV equation
-
Shen, J.: A new dual-Petrov-Galerkin method for third and higher odd-order differential equations: application to the KdV equation. SIAM J. Num. Anal. 41, 1595-1619 (2003)
-
(2003)
SIAM J. Num. Anal.
, vol.41
, pp. 1595-1619
-
-
Shen, J.1
-
19
-
-
33750509139
-
Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations
-
Shen, J., Li-Lian, W.: Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations. Discrete Continuous Dyn. Syst. B 6, 1381-1402 (2006)
-
(2006)
Discrete Continuous Dyn. Syst. B
, vol.6
, pp. 1381-1402
-
-
Shen, J.1
Li-Lian, W.2
-
20
-
-
0038451356
-
New exact travelling wave solutions for the Kawahara and modified Kawahara equations
-
Sirendaoreji: New exact travelling wave solutions for the Kawahara and modified Kawahara equations. Chaos, Solitons Fractals 19, 147-150 (2004)
-
(2004)
Chaos, Solitons Fractals
, vol.19
, pp. 147-150
-
-
Sirendaoreji1
-
21
-
-
0000648116
-
Existence of a generalized solitary wave with positive Bond number smaller than {1}{3}
-
Sun, S.M.: Existence of a generalized solitary wave with positive Bond number smaller than {1}{3}. J. Math. Anal. Appl. 156, 471-504 (1991)
-
(1991)
J. Math. Anal. Appl.
, vol.156
, pp. 471-504
-
-
Sun, S.M.1
-
22
-
-
0000606083
-
Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
-
Sun, S.M., Shen, M.C.: Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave. J. Math. Anal. Appl. 172, 533-566 (1993)
-
(1993)
J. Math. Anal. Appl.
, vol.172
, pp. 533-566
-
-
Sun, S.M.1
Shen, M.C.2
-
24
-
-
0000762941
-
Elevation solitary waves with surface tension
-
Vanden-Broeck, J.-M.: Elevation solitary waves with surface tension. Phys. Fluids A 3, 2659-2663 (1991)
-
(1991)
Phys. Fluids A
, vol.3
, pp. 2659-2663
-
-
Vanden-Broeck, J.-M.1
|