-
1
-
-
0000174121
-
Acoustic scattering and the extended Korteweg-de Vries hierarchy
-
doi:10.1006/aima.1998.1768
-
Beals, R., Sattinger, D. & Szmigielski, J. 1998 Acoustic scattering and the extended Korteweg-de Vries hierarchy. Adv. Math. 140, 190-206. (doi:10.1006/aima.1998.1768)
-
(1998)
Adv. Math
, vol.140
, pp. 190-206
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
2
-
-
0000363750
-
The stability of solitary waves
-
doi:10.1098/ rspa.1972.0074
-
Benjamin, T. B. 1972 The stability of solitary waves. Proc. R. Soc. A 328, 153-183. (doi:10.1098/ rspa.1972.0074)
-
(1972)
Proc. R. Soc. A
, vol.328
, pp. 153-183
-
-
Benjamin, T.B.1
-
3
-
-
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
-
4
-
-
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 50, 321-362.
-
(2000)
Ann. Inst. Fourier
, vol.50
, pp. 321-362
-
-
Constantin, A.1
-
5
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
doi:10.1098/rspa.2000. 0701
-
Constantin, A. 2001 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
-
6
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
doi:10.1007/BF02392586
-
Constantin, A. & Escher, J. 1998a Wave breaking for nonlinear nonlocal shallow water equations. Acta Math. 181, 229-243. (doi:10.1007/BF02392586)
-
(1998)
Acta Math
, vol.181
, pp. 229-243
-
-
Constantin, A.1
Escher, J.2
-
7
-
-
85129402022
-
19986 Global existence and blow-up for a shallow water equation
-
Constantin, A. & Escher, J. 19986 Global existence and blow-up for a shallow water equation. Annali Sc. Norm. Sup. Pisa 26, 303-328.
-
Annali Sc. Norm. Sup. Pisa
, vol.26
, pp. 303-328
-
-
Constantin, A.1
Escher, J.2
-
8
-
-
0033415933
-
-
Constantin, A. & McKean, 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. & McKean, 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)
-
-
-
-
9
-
-
0034349440
-
Global weak solutions for a shallow water equation
-
doi:10.1007/s002200050801
-
Constantin, A. & Molinet, L. 2000 Global weak solutions for a shallow water equation. Commun. Math. Phys. 211, 45-61. (doi:10.1007/s002200050801)
-
(2000)
Commun. Math. Phys
, vol.211
, pp. 45-61
-
-
Constantin, A.1
Molinet, L.2
-
10
-
-
0035452006
-
Orbital stability of solitary waves for a shallow water equation
-
doi:10.1016/S0167-2789(01)00298-6
-
Constantin, A. & Molinet, L. 2001 Orbital stability of solitary waves for a shallow water equation. Physica D 157, 75-89. (doi:10.1016/S0167-2789(01)00298-6)
-
(2001)
Physica D
, vol.157
, pp. 75-89
-
-
Constantin, A.1
Molinet, L.2
-
11
-
-
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. 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.2
-
12
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
doi:10.1007/s00332-002- 0517-x
-
Constantin, A. & Strauss, W. 2002 Stability of the Camassa-Holm solitons. J. Nonlin. Sci. 12, 415-422. (doi:10.1007/s00332-002- 0517-x)
-
(2002)
J. Nonlin. Sci
, vol.12
, pp. 415-422
-
-
Constantin, A.1
Strauss, W.2
-
13
-
-
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
-
14
-
-
0031679566
-
Model equations for nonlinear dispersive waves incompressible in a Mooney-Rivlin rod
-
doi:10.1007/BF01170373
-
Dai, H.-H. 1998 Model equations for nonlinear dispersive waves incompressible in a Mooney-Rivlin rod. Acta Mech. 127, 293-308. (doi:10.1007/BF01170373)
-
(1998)
Acta Mech
, vol.127
, pp. 293-308
-
-
Dai, H.-H.1
-
15
-
-
0000830886
-
A few remarks on the Camassa-Holm equation
-
Danchin, R. 2001 A few remarks on the Camassa-Holm equation. Diff. Int. Equations 14, 953-980.
-
(2001)
Diff. Int. Equations
, vol.14
, pp. 953-980
-
-
Danchin, R.1
-
16
-
-
18144402020
-
a Smoothing effect of the generalized BBM equation for localized solutions moving to the right
-
El Dika, K. 2005 a Smoothing effect of the generalized BBM equation for localized solutions moving to the right. Discr. Cont. Dyn. Syst. 12, 973-982.
-
(2005)
Discr. Cont. Dyn. Syst
, vol.12
, pp. 973-982
-
-
El Dika, K.1
-
17
-
-
23844508972
-
20056 Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony
-
El Dika, K. 20056 Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony. Disc. Contin. Dyn. Syst. 13, 583-622.
-
Disc. Contin. Dyn. Syst
, vol.13
, pp. 583-622
-
-
El Dika, K.1
-
18
-
-
33746084341
-
Stability of N solitary waves for the generalized BBM equations
-
El Dika, K. & Martel, Y. 2004 Stability of N solitary waves for the generalized BBM equations. Dyn. Partial Differ. Equations 1, 401-437.
-
(2004)
Dyn. Partial Differ. Equations
, vol.1
, pp. 401-437
-
-
El Dika, K.1
Martel, Y.2
-
19
-
-
85020782731
-
-
El Dika, K. amp; Molinet, L. Submitted. On the stability of the Camassa-Holm multipeakons.
-
El Dika, K. amp; Molinet, L. Submitted. On the stability of the Camassa-Holm multipeakons.
-
-
-
-
20
-
-
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
-
21
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry
-
doi:10.1016/0022-1236(87)90044-9
-
Grillakis, M., Shatah, J. & Strauss, W. 1987 Stability theory of solitary waves in the presence of symmetry. J. Funct. Anal. 74, 160-197. (doi:10.1016/0022-1236(87)90044-9)
-
(1987)
J. Funct. Anal
, vol.74
, pp. 160-197
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
22
-
-
0037171407
-
Camassa-Holm, Korteweg-de Vries and related models for water waves
-
doi:10.1017/ S0022112001007224
-
Johnson, R. S. 2002 Camassa-Holm, Korteweg-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
-
23
-
-
0036434830
-
The scattering approach for the Camassa-Holm equation
-
doi:10.2991/jnmp.2002.9.4.2
-
Lenells, J. 2002 The scattering approach for the Camassa-Holm equation. J. Nonlin. Math. Phys. 9, 389-393. (doi:10.2991/jnmp.2002.9.4.2)
-
(2002)
J. Nonlin. Math. Phys
, vol.9
, pp. 389-393
-
-
Lenells, J.1
-
24
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
-
doi:10.1007/s00220-002-0723-2
-
Martel, Y., Merle, F. & Tsai, T.-P. 2002 Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations. Commun. Math. Phys. 231, 347-373. (doi:10.1007/s00220-002-0723-2)
-
(2002)
Commun. Math. Phys
, vol.231
, pp. 347-373
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
25
-
-
24644509293
-
Parametric representation for the multisoliton solution of the Camassa-Holm equation
-
doi:10.1143/JPSJ.74.1983
-
Matsuno, Y. 2005 Parametric representation for the multisoliton solution of the Camassa-Holm equation. J. Phys. Soc. Jpn 74, 1983-1987. (doi:10.1143/JPSJ.74.1983)
-
(2005)
J. Phys. Soc. Jpn
, vol.74
, pp. 1983-1987
-
-
Matsuno, Y.1
-
26
-
-
10044263161
-
On well-posedness results for Camassa-Holm equation on the line: A survey
-
doi:10.2991/jnmp.2004.11.4.8
-
Molinet, L. 2004 On well-posedness results for Camassa-Holm equation on the line: a survey. J. Nonlin. Math. Phys. 11, 521-533. (doi:10.2991/jnmp.2004.11.4.8)
-
(2004)
J. Nonlin. Math. Phys
, vol.11
, pp. 521-533
-
-
Molinet, L.1
|