-
2
-
-
34548285975
-
Regularization of the Kelvin-Helraholtz instability by surface tension
-
doi:10.1098/rsta.2007.2006
-
Ambrose, D. M. 2007 Regularization of the Kelvin-Helraholtz instability by surface tension. Phil. Trans. R. Soc. A 365, 2253-2266. (doi:10.1098/rsta.2007.2006)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2253-2266
-
-
Ambrose, D.M.1
-
3
-
-
0000166670
-
On the Stokes conjecture for the wave of extreme form
-
doi:10.1007/BF02392728
-
Amick, C. J., Fraenkel, L. E. & Toland, J. F. 1982 On the Stokes conjecture for the wave of extreme form. Acta Mathematica 148, 193-214. (doi:10.1007/BF02392728)
-
(1982)
Acta Mathematica
, vol.148
, pp. 193-214
-
-
Amick, C.J.1
Fraenkel, L.E.2
Toland, J.F.3
-
5
-
-
18044392342
-
Multi-peakons and a theorem of Stieltjes
-
doi:10.1088/0266-5611/15/l/001
-
Beals, R., Sattinger, D. & Szmigielski, J. 1999 Multi-peakons and a theorem of Stieltjes. Inverse Probl. 15, L1-L4. (doi:10.1088/0266-5611/15/l/001)
-
(1999)
Inverse Probl
, vol.15
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
6
-
-
34548275575
-
The string density problem and the Camassa-Holm equation
-
doi:10.1098/rsta.2007.2010
-
Beals, R., Sattinger, D. & Szmigielski, J. 2007 The string density problem and the Camassa-Holm equation. Phil. Trans. R. Soc. A 365, 2299-2312. (doi:10.1098/rsta.2007.2010)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2299-2312
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
7
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
doi:10.1103/PhysRevLett.71.1661
-
Camassa, R. & Holm, D. 1993 An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661-1664. (doi:10.1103/PhysRevLett.71.1661)
-
(1993)
Phys. Rev. Lett
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
8
-
-
0034415062
-
Existence of permanent and breaking waves for a shallow water equation: A geometric approach
-
Constantin, A. 2000 Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Ann. Inst. Fourier (Grenoble) 50, 321-362.
-
(2000)
Ann. Inst. Fourier (Grenoble)
, vol.50
, pp. 321-362
-
-
Constantin, A.1
-
9
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
doi:10.1098/rspa.2000. 0701
-
Constantin, A. 2001a On the scattering problem for the Camassa-Holm equation. Proc. R. Soc. A 457, 953-970. (doi:10.1098/rspa.2000. 0701)
-
(2001)
Proc. R. Soc. A
, vol.457
, pp. 953-970
-
-
Constantin, A.1
-
10
-
-
0039896325
-
20016 On the deep water wave motion
-
doi:10.1088/ 0305-4470/34/7/313
-
Constantin, A. 20016 On the deep water wave motion. J. Phys. A 34, 1405-1417. (doi:10.1088/ 0305-4470/34/7/313)
-
J. Phys. A
, vol.34
, pp. 1405-1417
-
-
Constantin, A.1
-
11
-
-
0035900644
-
Edge waves along a sloping beach
-
doi:10.1088/ 0305-4470/34/45/311
-
Constantin, A. 2001c Edge waves along a sloping beach. J. Phys. A 34, 9723-9731. (doi:10.1088/ 0305-4470/34/45/311)
-
(2001)
J. Phys. A
, vol.34
, pp. 9723-9731
-
-
Constantin, A.1
-
12
-
-
33750526877
-
The trajectories of particles in Stokes waves
-
doi:10.1007/s00222-006-0002-5
-
Constantin, A. 2006 The trajectories of particles in Stokes waves. Invent. Math. 166, 523-535. (doi:10.1007/s00222-006-0002-5)
-
(2006)
Invent. Math
, vol.166
, pp. 523-535
-
-
Constantin, A.1
-
13
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
doi:10.1007/BF02392586
-
Constantin, A. & Escher, J. 1998 Wave breaking for nonlinear nonlocal shallow water equations. Acta Mathematica 181, 229-243. (doi:10.1007/BF02392586)
-
(1998)
Acta Mathematica
, vol.181
, pp. 229-243
-
-
Constantin, A.1
Escher, J.2
-
14
-
-
1242299759
-
Symmetry of steady periodic surface water waves with vorticity
-
doi:10.1017/S0022112003006773
-
Constantin, A. & Escher, J. 2004 Symmetry of steady periodic surface water waves with vorticity. J. Fluid Mech. 498, 171-181. (doi:10.1017/S0022112003006773)
-
(2004)
J. Fluid Mech
, vol.498
, pp. 171-181
-
-
Constantin, A.1
Escher, J.2
-
15
-
-
0242350978
-
Geodesic flow on the diffeomorphism group of the circle
-
doi:10.1007/s00014-003-0785-6
-
Constantin, A. & Kolev, B. 2003 Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv. 78, 787-804. (doi:10.1007/s00014-003-0785-6)
-
(2003)
Comment. Math. Helv
, vol.78
, pp. 787-804
-
-
Constantin, A.1
Kolev, B.2
-
16
-
-
0033415933
-
-
Constantin, A. & McKcan, H. P. 1999 A shallow water equation on the circle. Commun. Pure Appl Math. 52, 949-982. (doi:10.1002/(SICI) 1097-0312(199908)52:8<949::AID-CPA3>3.0. CO;2-D)
-
Constantin, A. & McKcan, H. P. 1999 A shallow water equation on the circle. Commun. Pure Appl Math. 52, 949-982. (doi:10.1002/(SICI) 1097-0312(199908)52:8<949::AID-CPA3>3.0. CO;2-D)
-
-
-
-
17
-
-
0034372667
-
Stability of peakons
-
doi:10.1002/(SICI)1097-0312(200005) 53:5<603::AID-CPA3>3.0.CO;2-L
-
Constantin, A. & Strauss, W. A. 2000 Stability of peakons. Commun. Pure Appl. Math. 53, 603-610. (doi:10.1002/(SICI)1097-0312(200005) 53:5<603::AID-CPA3>3.0.CO;2-L)
-
(2000)
Commun. Pure Appl. Math
, vol.53
, pp. 603-610
-
-
Constantin, A.1
Strauss, W.A.2
-
18
-
-
1242319077
-
Exact steady periodic water waves with vorticity
-
doi:10.1002/cpa.3046
-
Constantin, A. & Strauss, W. 2004 Exact steady periodic water waves with vorticity. Commun. Pure Appl. Math. 57, 481-527. (doi:10.1002/cpa.3046)
-
(2004)
Commun. Pure Appl. Math
, vol.57
, pp. 481-527
-
-
Constantin, A.1
Strauss, W.2
-
19
-
-
34548208789
-
Rotational steady water waves near stagnation
-
doi:10.1098/rsta.2007.2004
-
Constantin, A. & Strauss, W. 2007 Rotational steady water waves near stagnation. Phil. Trans. R. Soc. A 365, 2227-2239. (doi:10.1098/rsta.2007.2004)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2227-2239
-
-
Constantin, A.1
Strauss, W.2
-
20
-
-
33846053142
-
Inverse scattering transform for the Camassa-Holm equation
-
doi:10.1088/0266-5611/22/6/017
-
Constantin, A., Gerdjikov, V. S. & Ivanov, R. I. 2006 Inverse scattering transform for the Camassa-Holm equation, Inverse Probl. 22, 2197-2207. (doi:10.1088/0266-5611/22/6/017)
-
(2006)
Inverse Probl
, vol.22
, pp. 2197-2207
-
-
Constantin, A.1
Gerdjikov, V.S.2
Ivanov, R.I.3
-
21
-
-
1642309095
-
The origins of water wave theory
-
doi:10. 1146/annurev.fluid.36.050802.122118
-
Craik, A. D. D. 2004 The origins of water wave theory. Ann. Rev. Fluid Mech. 36, 1-28. (doi:10. 1146/annurev.fluid.36.050802.122118)
-
(2004)
Ann. Rev. Fluid Mech
, vol.36
, pp. 1-28
-
-
Craik, A.D.D.1
-
22
-
-
84958429517
-
An exact solution for progressive capillary waves of arbitrary amplitude
-
doi:10.1017/S0022112057000348
-
Crapper, G. D. 1957 An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech. 2, 532-540. (doi:10.1017/S0022112057000348)
-
(1957)
J. Fluid Mech
, vol.2
, pp. 532-540
-
-
Crapper, G.D.1
-
25
-
-
0002053850
-
Asymptotic integrability
-
eds A. Degasperis & G. Gaeta, pp, Singapore: World Scientific
-
Degasporis, A. & Procesi, M. 1999 Asymptotic integrability. In Symmetry and perturbation theory (eds A. Degasperis & G. Gaeta), pp. 23-37. Singapore: World Scientific.
-
(1999)
Symmetry and perturbation theory
, pp. 23-37
-
-
Degasporis, A.1
Procesi, M.2
-
27
-
-
34548230584
-
1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation
-
doi:10.1098/rsta.2007.2011
-
1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation. Phil. Trans. R. Soc. A 365, 2313-2331. (doi:10.1098/rsta.2007.2011)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2313-2331
-
-
El Dika, K.1
Molinet, L.2
-
28
-
-
34548219119
-
Wave breaking and shock waves for a periodic shallow water equation
-
doi:10.1098/rsta.2007.2008
-
Escher, J. 2007 Wave breaking and shock waves for a periodic shallow water equation. Phil. Trans. R. Soc. A 365, 2281-2289. (doi:10.1098/rsta.2007.2008)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2281-2289
-
-
Escher, J.1
-
29
-
-
49049150360
-
Symplectic structures, their Bäcklund transformation and hereditary symmetries
-
doi:10.1016/0167-2789(81)90004-X
-
Fokas, A. S. & Fuchssteiner, B. 1981 Symplectic structures, their Bäcklund transformation and hereditary symmetries. Physica D 4, 47-66. (doi:10.1016/0167-2789(81)90004-X)
-
(1981)
Physica D
, vol.4
, pp. 47-66
-
-
Fokas, A.S.1
Fuchssteiner, B.2
-
30
-
-
77952870940
-
Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile
-
Gerstner, F. 1809 Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Ann. Phys. 2, 412-445.
-
(1809)
Ann. Phys
, vol.2
, pp. 412-445
-
-
Gerstner, F.1
-
31
-
-
34548285474
-
Particle trajectories in linear periodic capillary and capillary-gravity water waves
-
doi:10.1098/rsta.2007.2005
-
Henry, D. 2007 Particle trajectories in linear periodic capillary and capillary-gravity water waves. Phil. Trans. R. Soc. A 365, 2241-2251. (doi:10.1098/rsta.2007.2005)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2241-2251
-
-
Henry, D.1
-
32
-
-
34548268646
-
Symmetry of steady periodic water waves with vorticity
-
doi:10.1098/rsta.2007. 2002
-
Hur, V. M. 2007 Symmetry of steady periodic water waves with vorticity. Phil. Trans. R. Soc. A 365, 2203-2214. (doi:10.1098/rsta.2007. 2002)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2203-2214
-
-
Hur, V.M.1
-
33
-
-
34548256892
-
Water waves and integrability
-
doi:10. 1098/rsta.2007.2007
-
Ivanov, R. I. 2007 Water waves and integrability. Phil. Trans. R. Soc. A 365, 2267-2280. (doi:10. 1098/rsta.2007.2007)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2267-2280
-
-
Ivanov, R.I.1
-
35
-
-
0037171407
-
Camassa-Holm, Kortewcg-de Vries and related models for water waves
-
doi:10.1017/ S0022112001007224
-
Johnson, R. S. 2002 Camassa-Holm, Kortewcg-de Vries and related models for water waves. J. Fluid Mech. 455, 63-82. (doi:10.1017/ S0022112001007224)
-
(2002)
J. Fluid Mech
, vol.455
, pp. 63-82
-
-
Johnson, R.S.1
-
36
-
-
34548278976
-
Edge waves: Theories past and present
-
doi:10.1098/rsta.2007.2013
-
Johnson, R. S. 2007 Edge waves: theories past and present. Phil. Trans. R. Soc. A 365, 2359-2376. (doi:10.1098/rsta.2007.2013)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2359-2376
-
-
Johnson, R.S.1
-
37
-
-
0016890105
-
Exact large amplitude capillary waves on sheets of fluid
-
doi:10.1017/S0022112076002085
-
Kinnersley, W. 1976 Exact large amplitude capillary waves on sheets of fluid. J. Fluid Mech. 77, 229-241. (doi:10.1017/S0022112076002085)
-
(1976)
J. Fluid Mech
, vol.77
, pp. 229-241
-
-
Kinnersley, W.1
-
38
-
-
34548293037
-
Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
-
doi:10.1098/rsta. 2007.2012
-
Kolev, B. 2007 Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations. Phil. Trans. R. Soc. A 365, 2333-2357. (doi:10.1098/rsta. 2007.2012)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2333-2357
-
-
Kolev, B.1
-
40
-
-
0004168443
-
-
Cambridge, UK: Cambridge University Press
-
Lamb, H. 1932 Hydrodynamics. Cambridge, UK: Cambridge University Press.
-
(1932)
Hydrodynamics
-
-
Lamb, H.1
-
41
-
-
34548229028
-
Classification of all traveling-wave solutions for some nonlinear dispersive equations
-
doi:10.1098/rsta.2007.2009
-
Lenells, J. 2007 Classification of all traveling-wave solutions for some nonlinear dispersive equations. Phil. Trans. R. Soc. A 365, 2291-2298. (doi:10.1098/rsta.2007.2009)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2291-2298
-
-
Lenells, J.1
-
42
-
-
0017889140
-
-
Cambridge, UK: Cambridge University Press
-
Lighthill, J. 1978 Waves in fluids. Cambridge, UK: Cambridge University Press.
-
(1978)
Waves in fluids
-
-
Lighthill, J.1
-
43
-
-
33748561536
-
Global existence and blow-up phenomena for the Degasperis-Procesi equation
-
doi:10.1007/s00220-006-0082-5
-
Liu, Y. & Yin, Z. 2006 Global existence and blow-up phenomena for the Degasperis-Procesi equation. Commun. Math. Phys. 267, 801-820. (doi:10.1007/s00220-006-0082-5)
-
(2006)
Commun. Math. Phys
, vol.267
, pp. 801-820
-
-
Liu, Y.1
Yin, Z.2
-
44
-
-
0022901854
-
Eulerian and Lagrangian aspects of surface waves
-
doi: 10.1017/ S0022112086001325
-
Longuet-Higgins, M. S. 1986 Eulerian and Lagrangian aspects of surface waves. J. Fluid Mech. 173, 683-707. (doi: 10.1017/ S0022112086001325)
-
(1986)
J. Fluid Mech
, vol.173
, pp. 683-707
-
-
Longuet-Higgins, M.S.1
-
46
-
-
1642376650
-
On the exact form of waves near the surface of deep water
-
doi:10.1098/rstl.1863.0006
-
Rankine, W. J. M. 1863 On the exact form of waves near the surface of deep water. Phil. Trans. R. Soc. A 153, 127-138. (doi:10.1098/rstl.1863.0006)
-
(1863)
Phil. Trans. R. Soc. A
, vol.153
, pp. 127-138
-
-
Rankine, W.J.M.1
-
47
-
-
85040958017
-
-
Cambridge, UK: Cambridge University Press
-
Saffman, P. G. 1995 Vortex dynamics. Cambridge, UK: Cambridge University Press.
-
(1995)
Vortex dynamics
-
-
Saffman, P.G.1
-
48
-
-
0022107476
-
Steady deep-water waves on a linear shear current
-
Simmen, J. A. & Saffman, P. G. 1985 Steady deep-water waves on a linear shear current. Stud. Appl. Math. 73, 35-57.
-
(1985)
Stud. Appl. Math
, vol.73
, pp. 35-57
-
-
Simmen, J.A.1
Saffman, P.G.2
-
51
-
-
84972192041
-
Steep, steady surface waves on water of finite depth with constant vorticity
-
doi:10.1017/S0022112088002423
-
Teles da Silva, A. F. & Peregrine, D. H. 1988 Steep, steady surface waves on water of finite depth with constant vorticity. J. Fluid Mech. 195, 281-302. (doi:10.1017/S0022112088002423)
-
(1988)
J. Fluid Mech
, vol.195
, pp. 281-302
-
-
Teles da Silva, A.F.1
Peregrine, D.H.2
-
53
-
-
0030164722
-
Periodic waves with constant vorticity in water of infinite depth
-
Vanden-Broeck, J.-M. 1996 Periodic waves with constant vorticity in water of infinite depth. IMA J. Appl. Math. 56, 207-217.
-
(1996)
IMA J. Appl. Math
, vol.56
, pp. 207-217
-
-
Vanden-Broeck, J.-M.1
-
54
-
-
34548268647
-
On rotational water waves with surface tension
-
doi:10.1098/rsta.2007. 2003
-
Wahlén, E. 2007 On rotational water waves with surface tension. Phil. Trans. R. Soc. A 365, 2215-2225. (doi:10.1098/rsta.2007. 2003)
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2215-2225
-
-
Wahlén, E.1
|