-
1
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
R. CAMASSA and D. HOLM, An integrable shallow water equation with peaked solitons, Phys. Rev. Letters 71:1661-1664 (1993).
-
(1993)
Phys. Rev. Letters
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
2
-
-
0001098290
-
Cusp soliton of a new integrable nonlinear evolution equation
-
M. WADATI, Y. H. ICHIKAWA, and T. SHIMUIZU, Cusp soliton of a new integrable nonlinear evolution equation, Prog. Theor. Phys. 64:1959-1967 (1980).
-
(1980)
Prog. Theor. Phys.
, vol.64
, pp. 1959-1967
-
-
Wadati, M.1
Ichikawa, Y.H.2
Shimuizu, T.3
-
3
-
-
1342300742
-
On solutions of the Camassa-Holm equation
-
R. S. JOHNSON, On solutions of the Camassa-Holm equation, Proc. R. Soc. Lond. A 459:1687-1708 (2003).
-
(2003)
Proc. R. Soc. Lond. A
, vol.459
, pp. 1687-1708
-
-
Johnson, R.S.1
-
4
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
A. CONSTANTIN and W. A. STRAUSS, Stability of the Camassa-Holm solitons, J. Nonlinear Sci. 12:415-422 (2002).
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 415-422
-
-
Constantin, A.1
Strauss, W.A.2
-
5
-
-
0001472433
-
Breakdown of a shallow water equation
-
H. P. MCKEAN, Breakdown of a shallow water equation, Asian J. Math. 2:867-879 (1998).
-
(1998)
Asian J. Math.
, vol.2
, pp. 867-879
-
-
Mckean, H.P.1
-
6
-
-
85129402022
-
Global existence and blow-up for a shallow water equation
-
A. CONSTANTIN and J. ESCHER, Global existence and blow-up for a shallow water equation, Annali Sc. Norm. Sup. Pisa 26:303-328 (1998).
-
(1998)
Annali Sc. Norm. Sup. Pisa
, vol.26
, pp. 303-328
-
-
Constantin, A.1
Escher, J.2
-
7
-
-
12444308261
-
Global existence of solution to the Camassa-Holm equation
-
Y. LIU and W. WANG, Global existence of solution to the Camassa-Holm equation, Nonl. Analysis 60:945-953 (2005).
-
(2005)
Nonl. Analysis
, vol.60
, pp. 945-953
-
-
Liu, Y.1
Wang, W.2
-
8
-
-
17044434265
-
Finite propagation speed for the Camassa-Holm equation
-
A. CONSTANTIN, Finite propagation speed for the Camassa-Holm equation, J. Math. Phys. 46:023506 (2005).
-
(2005)
J. Math. Phys.
, vol.46
, pp. 023506
-
-
Constantin, A.1
-
9
-
-
0031989845
-
A shallow water equation as a geodesic flow on the Bott-Virasoro group
-
G. MISIOLEK, A shallow water equation as a geodesic flow on the Bott-Virasoro group, J. Geom. Phys. 24:203-208 (1998).
-
(1998)
J. Geom. Phys.
, vol.24
, pp. 203-208
-
-
Misiolek, G.1
-
11
-
-
24644509293
-
Parametric representation for the multisoliton solution of the Camassm-Holm equation
-
To appear in (July)
-
Y. MATSUNO, Parametric representation for the multisoliton solution of the Camassm-Holm equation. [To appear in J. Phys. Soc. Jpn. 74:(July, 2005).]
-
(2005)
J. Phys. Soc. Jpn.
, vol.74
-
-
Matsuno, Y.1
-
12
-
-
21844487106
-
Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations
-
C. GILSON and A. PICKERING, Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations, J. Phys. A 28:2871-2888 (1995).
-
(1995)
J. Phys. A
, vol.28
, pp. 2871-2888
-
-
Gilson, C.1
Pickering, A.2
-
13
-
-
13844266058
-
Near-corner waves of the Cammassa-Holm equation
-
J. P. BOYD, Near-corner waves of the Cammassa-Holm equation, Phys. Lett. A 336:342-348 (2005).
-
(2005)
Phys. Lett. A
, vol.336
, pp. 342-348
-
-
Boyd, J.P.1
-
14
-
-
17144414968
-
On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves
-
A. PARKER, On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves, Proc. R. Soc. Lond. A 460:2929-2957 (2004).
-
(2004)
Proc. R. Soc. Lond. A
, vol.460
, pp. 2929-2957
-
-
Parker, A.1
-
15
-
-
0031679566
-
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
-
H.-H. DAI, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mechanica 127:293-308 (1998).
-
(1998)
Acta Mechanica
, vol.127
, pp. 293-308
-
-
Dai, H.-H.1
-
16
-
-
0000972059
-
On second grade fluids with vanishing viscosity
-
V. BUSUIOC, On second grade fluids with vanishing viscosity, C R. Acad. Sci. Paris 328:1241-1246 (1999).
-
(1999)
C R. Acad. Sci. Paris
, vol.328
, pp. 1241-1246
-
-
Busuioc, V.1
-
17
-
-
0001197049
-
A new integrable nonlinear evolution equation
-
T. SHIMIZU and M. WADATI, A new integrable nonlinear evolution equation, Prog. Theor. Phys. 63:808-820 (1980).
-
(1980)
Prog. Theor. Phys.
, vol.63
, pp. 808-820
-
-
Shimizu, T.1
Wadati, M.2
-
18
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
A. CONSTANTIN, On the scattering problem for the Camassa-Holm equation, Proc. R. Soc. Lond. A 457:953-970 (2001).
-
(2001)
Proc. R. Soc. Lond. A
, vol.457
, pp. 953-970
-
-
Constantin, A.1
-
19
-
-
0036434830
-
The scattering approach for the Camassa-Holm equation
-
J. LENELLS, The scattering approach for the Camassa-Holm equation, J. Nonlinear Math. Phys. 9:389-393 (2002).
-
(2002)
J. Nonlinear Math. Phys.
, vol.9
, pp. 389-393
-
-
Lenells, J.1
-
20
-
-
0042023771
-
On the inverse scattering approach to the Camassa-Holm equation
-
A. CONSTANTIN and J. LENELLS, On the inverse scattering approach to the Camassa-Holm equation, J. Nonlinear Math. Phys. 10:252-255 (2003).
-
(2003)
J. Nonlinear Math. Phys.
, vol.10
, pp. 252-255
-
-
Constantin, A.1
Lenells, J.2
-
21
-
-
36049057587
-
Method for solving the Korteweg-deVries equation
-
C. S. GARDNER, J. M. GREENE, M. D. KRUSKAL, and R. M. MIURA, Method for solving the Korteweg-deVries equation, Phys. Rev. Lett. 19:1095-1097 (1967).
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
22
-
-
2442625449
-
Correction to breakdown of a shallow water equation
-
H. P. MCKEAN, Correction to breakdown of a shallow water equation, Asian J. Math. 3:3 (1999).
-
(1999)
Asian J. Math.
, vol.3
, pp. 3
-
-
Mckean, H.P.1
-
23
-
-
2442572058
-
Breakdown of the Camassa-Holm equation
-
H. P. MCKEAN, Breakdown of the Camassa-Holm equation, Commun. Pure Appl. Math. LVII:0416-0418 (2004).
-
(2004)
Commun. Pure Appl. Math.
, vol.57
, pp. 416-418
-
-
Mckean, H.P.1
-
24
-
-
0000641586
-
Nonlinear wave equations
-
[see pg. 340]
-
M. D. KRUSKAL, Nonlinear wave equations, Lect. Notes Phys. 38:310-354 (1975), [see pg. 340].
-
(1975)
Lect. Notes Phys.
, vol.38
, pp. 310-354
-
-
Kruskal, M.D.1
-
25
-
-
77950251516
-
New integrable nonlinear evolution equations
-
M. WADATI, K. KONNO, and Y. H. ICHIKAWA, New integrable nonlinear evolution equations, J. Phys. Soc. Japan 47:1698-1700 (1979).
-
(1979)
J. Phys. Soc. Japan
, vol.47
, pp. 1698-1700
-
-
Wadati, M.1
Konno, K.2
Ichikawa, Y.H.3
-
26
-
-
84978137914
-
The Estabrook-Wahlquist method with examples of applications
-
D. J. KAUP, The Estabrook-Wahlquist method with examples of applications, Physica 1D:391-411 (1980).
-
(1980)
Physica
, vol.1 D
, pp. 391-411
-
-
Kaup, D.J.1
-
27
-
-
5344232689
-
An exact solution for the oscillating two-stream instability
-
D. J. KAUP, An exact solution for the oscillating two-stream instability, Phys. Fluids 23:1383-1387 (1980).
-
(1980)
Phys. Fluids
, vol.23
, pp. 1383-1387
-
-
Kaup, D.J.1
-
28
-
-
0030241512
-
Degenerate two-photon propagation and the oscillating two-stream instability: The general solution for amplitude-modulated pulses
-
H. STEUDEL and D. J. KAUP, Degenerate two-photon propagation and the oscillating two-stream instability: The general solution for amplitude-modulated pulses, J. Modern Optics 43:1851-1866 (1996).
-
(1996)
J. Modern Optics
, vol.43
, pp. 1851-1866
-
-
Steudel, H.1
Kaup, D.J.2
-
29
-
-
0033609738
-
The inverse scattering transform on a finite interval
-
H. STEUDEL and D. J. KAUP, The inverse scattering transform on a finite interval, J. Phys. A: Math. Gen. 32:6219-6231 (1999).
-
(1999)
J. Phys. A: Math. Gen.
, vol.32
, pp. 6219-6231
-
-
Steudel, H.1
Kaup, D.J.2
-
30
-
-
0034711895
-
Inverse scattering method applied to degenerate two-photon propagation in the low-excitation limit
-
H. STEUDEL and D. J. KAUP, Inverse scattering method applied to degenerate two-photon propagation in the low-excitation limit, J. Phys. A: Math. Gen. 33:1445-1457 (2000).
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, pp. 1445-1457
-
-
Steudel, H.1
Kaup, D.J.2
-
31
-
-
0016369301
-
The inverse scattering transform: Fourier analysis for nonlinear problems
-
M. J. ABLOWITZ, D. J. KAUP, A. C. NEWELL, and H. SEGUR, The inverse scattering transform: Fourier analysis for nonlinear problems, Stud. Appl. Math. 53:249 (1974).
-
(1974)
Stud. Appl. Math.
, vol.53
, pp. 249
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
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