-
1
-
-
18044392342
-
Multi-peakons and a theorem of Stieltjes
-
Beals, R, Sattinger, D, and Szmigielski, J. 1999. Multi-peakons and a theorem of Stieltjes. Inverse Problems, 15:L1–L4.
-
(1999)
Inverse Problems
, vol.15
, pp. L1-L4
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
2
-
-
0000174121
-
Acoustic scattering and the extended Korteweg-de Vries hierarchy
-
Beals, R, Sattinger, D, and Szmigielski, J. 1998. Acoustic scattering and the extended Korteweg-de Vries hierarchy. Adv. Math., 40:190–206.
-
(1998)
Adv. Math.
, vol.40
, pp. 190-206
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
3
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R, and Holm, D. 1993. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett., 71:1661–1664.
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
4
-
-
56349110516
-
A new integrable shallow water equation
-
Camassa, R, Holm, D, and Hyman, J. 1994. A new integrable shallow water equation. Adv. Appl. Mech., 31:1–33.
-
(1994)
Adv. Appl. Mech.
, vol.31
, pp. 1-33
-
-
Camassa, R.1
Holm, D.2
Hyman, J.3
-
5
-
-
0038806261
-
Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
-
Colliander, J, Keel, M, Staffilani, G, Takaoka, H, and Tao, T. 2003. Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋. J. Amer. Math. Soc., 16:705–749.
-
(2003)
J. Amer. Math. Soc.
, vol.16
, pp. 705-749
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
6
-
-
0000213450
-
On the Cauchy problem for the periodic Camassa-Holm equation
-
Constantin, A. 1997. On the Cauchy problem for the periodic Camassa-Holm equation. J. Differen-tial Equations, 141:218–235.
-
(1997)
J. Differen-tial Equations
, vol.141
, pp. 218-235
-
-
Constantin, A.1
-
7
-
-
0000684999
-
On the inverse spectral problem for the Camassa-Holm equation
-
Constantin, A. 1998. On the inverse spectral problem for the Camassa-Holm equation. J. Funct. Anal., 155:352–363.
-
(1998)
J. Funct. Anal.
, vol.155
, pp. 352-363
-
-
Constantin, A.1
-
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
-
Constantin, A. 2001. On the scattering problem for the Camassa-Holm equation. Proc. Roy. Soc. London, 457:953–970.
-
(2001)
Proc. Roy. Soc. London
, vol.457
, pp. 953-970
-
-
Constantin, A.1
-
10
-
-
0035480042
-
A Lagrangian approximation to the water-wave problem
-
Constantin, A. 2001. A Lagrangian approximation to the water-wave problem. Applied Mathematics Letters, 14:789–795.
-
(2001)
Applied Mathematics Letters
, vol.14
, pp. 789-795
-
-
Constantin, A.1
-
11
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
Constantin, A, and Escher, J. 1998. Wave breaking for nonlinear nonlocal shallow water equations. Acta Mathematica, 181:229–243.
-
(1998)
Acta Mathematica
, vol.181
, pp. 229-243
-
-
Constantin, A.1
Escher, J.2
-
12
-
-
85129402022
-
Global existence and blow-up for a shallow water equation
-
Constantin, A, and Escher, J. 1998. Global existence and blow-up for a shallow water equation. Annali Sc. Norm. Sup. Pisa, 26:303–328.
-
(1998)
Annali Sc. Norm. Sup. Pisa
, vol.26
, pp. 303-328
-
-
Constantin, A.1
Escher, J.2
-
13
-
-
0032374820
-
Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
-
Constantin, A, and Escher, J. 1998. Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Comm. Pure Appl. Math, 51:475–504.
-
(1998)
Comm. Pure Appl. Math
, vol.51
, pp. 475-504
-
-
Constantin, A.1
Escher, J.2
-
14
-
-
0034347295
-
On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
-
Constantin, A, and Escher, J. 2000. On the blow-up rate and the blow-up set of breaking waves for a shallow water equation. Math. Z., 233:75–91.
-
(2000)
Math. Z.
, vol.233
, pp. 75-91
-
-
Constantin, A.1
Escher, J.2
-
15
-
-
0000468550
-
Global weak solutions for a shallow water equation
-
Constantin, A, and Escher, J. 1998. Global weak solutions for a shallow water equation. Indiana Univ. Math. J., 47:1527–1545.
-
(1998)
Indiana Univ. Math. J.
, vol.47
, pp. 1527-1545
-
-
Constantin, A.1
Escher, J.2
-
16
-
-
0042279206
-
On the geometric approach to the motion of inertial mechanical systems
-
Constantin, A, and Kolev, B. 2002. On the geometric approach to the motion of inertial mechanical systems. J. Phys. A, 35:R51–R79.
-
(2002)
J. Phys. A
, vol.35
, pp. R51-R79
-
-
Constantin, A.1
Kolev, B.2
-
17
-
-
0242350978
-
Geodesic flow on the diffeomorphism group of the circle
-
Constantin, A, and Kolev, B. 2003. Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv., 78:787–804.
-
(2003)
Comment. Math. Helv.
, vol.78
, pp. 787-804
-
-
Constantin, A.1
Kolev, B.2
-
18
-
-
0042023771
-
On the inverse scattering approach to the Camassa-Holm equation
-
Constantin, A, and Lenells, J. 2003. On the inverse scattering approach to the Camassa-Holm equation. J. Nonlinear Math. Phys., 10:252–255.
-
(2003)
J. Nonlinear Math. Phys.
, vol.10
, pp. 252-255
-
-
Constantin, A.1
Lenells, J.2
-
20
-
-
0034349440
-
Global weak solutions for a shallow water equation
-
Constantin, A, and Molinet, L. 2000. Global weak solutions for a shallow water equation. Comm. Math. Phys., 211:45–61.
-
(2000)
Comm. Math. Phys.
, vol.211
, pp. 45-61
-
-
Constantin, A.1
Molinet, L.2
-
22
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
Constantin, A, and Strauss, W. 2002. Stability of the Camassa-Holm solitons. J. Nonlinear Sci., 12:415–422.
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 415-422
-
-
Constantin, A.1
Strauss, W.2
-
23
-
-
0031679566
-
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
-
Dai, HH. 1998. Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mech., 127:193–207.
-
(1998)
Acta Mech.
, vol.127
, pp. 193-207
-
-
Dai, H.H.1
-
24
-
-
0000830886
-
A few remarks on the Camassa-Holm equation
-
Danchin, R. 2001. A few remarks on the Camassa-Holm equation. Differential Integral Equations, 14:953–988.
-
(2001)
Differential Integral Equations
, vol.14
, pp. 953-988
-
-
Danchin, R.1
-
26
-
-
40749103220
-
An integrable shallow water equation with linear and nonlinear dispersion
-
Dullin, HR, Gottwald, G, and Holm, DD. 2001. An integrable shallow water equation with linear and nonlinear dispersion. Phys. Rev. Lett., 87:194501–04.
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 194501-194504
-
-
Dullin, H.R.1
Gottwald, G.2
Holm, D.D.3
-
27
-
-
0038170210
-
Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves
-
Dullin, HR, Gottwald, G, Holm, DD, and Camassa-Holm. 2003. Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves. Fluid Dyn. Res., 33:73–95.
-
(2003)
Fluid Dyn. Res.
, vol.33
, pp. 73-95
-
-
Dullin, H.R.1
Gottwald, G.2
Holm, D.D.3
Camassa-Holm4
-
28
-
-
0001702502
-
On a class of physically important integrable equations
-
Fokas, AS. 1995. On a class of physically important integrable equations. Physica D, 87:145–150.
-
(1995)
Physica D
, vol.87
, pp. 145-150
-
-
Fokas, A.S.1
-
29
-
-
22244482803
-
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
-
Fuchssteiner, B. 1996. Some tricks from the symmetry-toolbox for nonlinear equations:generalizations of the Camassa-Holm equation. Physica D, 95:229–243.
-
(1996)
Physica D
, vol.95
, pp. 229-243
-
-
Fuchssteiner, B.1
-
30
-
-
49049150360
-
Symplectic structures, their Bäcklund transformation and hereditary symmetries
-
Fuchssteiner, B, and Fokas, AS. 1981. Symplectic structures, their Bäcklund transformation and hereditary symmetries. Physica D, 4:47–66.
-
(1981)
Physica D
, vol.4
, pp. 47-66
-
-
Fuchssteiner, B.1
Fokas, A.S.2
-
31
-
-
0038584929
-
Algebro-geometric solutions of the Camassa-Holm hierarchy
-
Gesztesy, F, and Holden, H. 2003. Algebro-geometric solutions of the Camassa-Holm hierarchy. Rev. Mat. Iberoamericana, 19:73–142.
-
(2003)
Rev. Mat. Iberoamericana
, vol.19
, pp. 73-142
-
-
Gesztesy, F.1
Holden, H.2
-
32
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm, D, Marsden, J, and Ratiu, T. 1998. The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math., 137:1–81.
-
(1998)
Adv. Math.
, vol.137
, pp. 1-81
-
-
Holm, D.1
Marsden, J.2
Ratiu, T.3
-
33
-
-
0037171407
-
Korteweg-de Vries and related models for water waves
-
Johnson, RS, and Camassa-Holm. 2002. Korteweg-de Vries and related models for water waves. J. Fluid Mech., 455:63–82.
-
(2002)
J. Fluid Mech.
, vol.455
, pp. 63-82
-
-
Johnson, R.S.1
Camassa-Holm2
-
34
-
-
1342300742
-
On solutions of the Camassa-Holm equation
-
Johnson, RS. 2003. On solutions of the Camassa-Holm equation. Proc. Roy. Soc. London A, 459:1687–1708.
-
(2003)
Proc. Roy. Soc. London A
, vol.459
, pp. 1687-1708
-
-
Johnson, R.S.1
-
35
-
-
0038455796
-
The classical problem of water waves: A reservoir of integrable and nearlyintegrable equations
-
Johnson, RS. 2003. The classical problem of water waves:a reservoir of integrable and nearlyintegrable equations. J. Nonlinear Math. Phys., 10 (1):72–92.
-
(2003)
J. Nonlinear Math. Phys.
, vol.10
, Issue.1
, pp. 72-92
-
-
Johnson, R.S.1
-
36
-
-
0036434830
-
The scattering approach for the Camassa-Holm equation
-
Lenells, J. 2002. The scattering approach for the Camassa-Holm equation. J. Nonlinear Math. Phys., 9:389–393.
-
(2002)
J. Nonlinear Math. Phys.
, vol.9
, pp. 389-393
-
-
Lenells, J.1
-
37
-
-
1342267624
-
Stability of periodic peakons
-
Lenells, J. 2004. Stability of periodic peakons. Internat. Math. Res. Notices, 10:485–499.
-
(2004)
Internat. Math. Res. Notices
, vol.10
, pp. 485-499
-
-
Lenells, J.1
-
38
-
-
85024535231
-
-
Traveling wave solutions of the Camassa-Holm equation, submitted
-
Lenells J, Traveling wave solutions of the Camassa-Holm equation, submitted.
-
-
-
Lenells, J.1
-
39
-
-
0034688728
-
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
-
Li, Y, and Olver, P. 2000. Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. J. Diff. Eq., 162:27–63.
-
(2000)
J. Diff. Eq.
, vol.162
, pp. 27-63
-
-
Li, Y.1
Olver, P.2
-
40
-
-
0031989845
-
A shallow water equation as a geodesic flow on the Bott-Virasoro group
-
Misiolek, G. 1998. A shallow water equation as a geodesic flow on the Bott-Virasoro group. J. Geom. Phys., 24:203–208.
-
(1998)
J. Geom. Phys.
, vol.24
, pp. 203-208
-
-
Misiolek, G.1
-
42
-
-
0001472433
-
Breakdown of a shallow water equation
-
McKean, HP. 1998. Breakdown of a shallow water equation. Asian J. Math, 2:867–874.
-
(1998)
Asian J. Math
, vol.2
, pp. 867-874
-
-
McKean, H.P.1
-
43
-
-
0035479874
-
On the Cauchy problem for the Camassa-Holm equation
-
Rodriguez-Blanco, G. 2001. On the Cauchy problem for the Camassa-Holm equation. Nonl. Anal., 46:309–327.
-
(2001)
Nonl. Anal.
, vol.46
, pp. 309-327
-
-
Rodriguez-Blanco, G.1
-
44
-
-
0034394008
-
On the weak solutions to a shallow water equation
-
Xin, Z, and Zhang, P. 2000. On the weak solutions to a shallow water equation. Comm. Pure Appl. Math., 53:1411–1433.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 1411-1433
-
-
Xin, Z.1
Zhang, P.2
-
45
-
-
10044224963
-
On the blow-up of solutions of the periodic Camassa-Holm equation
-
to appear
-
Yin, Z. On the blow-up of solutions of the periodic Camassa-Holm equation. Dyn. Cont. Disc. Imp. Syst., to appear.
-
Dyn. Cont. Disc. Imp. Syst.
-
-
Yin, Z.1
|