-
1
-
-
0000174121
-
Acoustic scattering and the extended Korteweg-de Vries hierarchy
-
R. Beals, D. Sattinger, and J. Szmigielski, Acoustic scattering and the extended Korteweg-de Vries hierarchy, Adv. Math. 140 (1998), no. 2, 190-206.
-
(1998)
Adv. Math.
, vol.140
, Issue.2
, pp. 190-206
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
2
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
R. Camassa and D. Holm, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett. 71 (1993), no. 11, 1661-1664.
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.11
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
3
-
-
0038806261
-
Sharp global well-posedness for KdV and modified KdV on R and T
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and T. Tao, Sharp global well-posedness for KdV and modified KdV on R and T, J. Amer. Math. Soc. 16 (2003), no. 3, 705-749.
-
(2003)
J. Amer. Math. Soc.
, vol.16
, Issue.3
, pp. 705-749
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
4
-
-
0000684999
-
On the inverse spectral problem for the Camassa-Holm equation
-
A. Constantin, On the inverse spectral problem for the Camassa-Holm equation, J. Funct. Anal. 155 (1998), no. 2, 352-363.
-
(1998)
J. Funct. Anal.
, vol.155
, Issue.2
, pp. 352-363
-
-
Constantin, A.1
-
5
-
-
0034415062
-
Existence of permanent and breaking waves for a shallow water equation: A geometric approach
-
_, Existence of permanent and breaking waves for a shallow water equation: a geometric approach, Ann. Inst. Fourier (Grenoble) 50 (2000), no. 2, 321-362.
-
(2000)
Ann. Inst. Fourier (Grenoble)
, vol.50
, Issue.2
, pp. 321-362
-
-
-
6
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
_, On the scattering problem for the Camassa-Holm equation, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 457 (2001), no. 2008, 953-970.
-
(2001)
R. Soc. Lond. Proc. Ser. a Math. Phys. Eng. Sci.
, vol.457
, Issue.2008
, pp. 953-970
-
-
-
7
-
-
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, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 26 (1998), no. 2, 303-328.
-
(1998)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.26
, Issue.2
, pp. 303-328
-
-
Constantin, A.1
Escher, J.2
-
8
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
_, Wave breaking for nonlinear nonlocal shallow water equations, Acta Math. 181 (1998), no. 2, 229-243.
-
(1998)
Acta Math.
, vol.181
, Issue.2
, pp. 229-243
-
-
-
9
-
-
0042279206
-
On the geometric approach to the motion of inertial mechanical systems
-
A. Constantin and B. Kolev, On the geometric approach to the motion of inertial mechanical systems, J. Phys. A 35 (2002), no. 32, R51-R79.
-
(2002)
J. Phys. A
, vol.35
, Issue.32
-
-
Constantin, A.1
Kolev, B.2
-
10
-
-
0242350978
-
Geodesic flow on the diffeomorphism group of the circle
-
_, Geodesic flow on the diffeomorphism group of the circle, Comment. Math. Helv. 78 (2003), no. 4, 787-804.
-
(2003)
Comment. Math. Helv.
, vol.78
, Issue.4
, pp. 787-804
-
-
-
11
-
-
0033415933
-
A shallow water equation on the circle
-
A. Constantin and H. McKean, A shallow water equation on the circle, Comm. Pure Appl. Math. 52 (1999), no. 8, 949-982.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.8
, pp. 949-982
-
-
Constantin, A.1
McKean, H.2
-
13
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
_, Stability of the Camassa-Holm solitons, J. Nonlinear Sci. 12 (2002), no. 4, 415-422.
-
(2002)
J. Nonlinear Sci.
, vol.12
, Issue.4
, pp. 415-422
-
-
-
14
-
-
0031679566
-
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
-
H. Dai, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mech. 127 (1998), no. 1-4, 193-207.
-
(1998)
Acta Mech.
, vol.127
, Issue.1-4
, pp. 193-207
-
-
Dai, H.1
-
16
-
-
0001500560
-
The Camassa Holm equation: Conserved quantities and the initial value problem
-
M. Fisher and J. Schiff, The Camassa Holm equation: conserved quantities and the initial value problem, Phys. Lett. A 259 (1999), no. 5, 371-376.
-
(1999)
Phys. Lett. A
, vol.259
, Issue.5
, pp. 371-376
-
-
Fisher, M.1
Schiff, J.2
-
17
-
-
0002209413
-
A plethora of integrable bi-Hamiltonian equations
-
Birkhäuser Boston, Massachusetts
-
A. Fokas, P. Olver, and P. Rosenau, A plethora of integrable bi-Hamiltonian equations, Algebraic Aspects of Integrable Systems, Progr. Nonlinear Differential Equations Appl., vol. 26, Birkhäuser Boston, Massachusetts, 1997, pp. 93-101.
-
(1997)
Algebraic Aspects of Integrable Systems, Progr. Nonlinear Differential Equations Appl.
, vol.26
, pp. 93-101
-
-
Fokas, A.1
Olver, P.2
Rosenau, P.3
-
18
-
-
22244482803
-
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
-
B. Fuchssteiner, Some tricks from the symmetry-toolbox for nonlinear equations: generalizations of the Camassa-Holm equation, Phys. D 95 (1996), no. 3-4, 229-243.
-
(1996)
Phys. D
, vol.95
, Issue.3-4
, pp. 229-243
-
-
Fuchssteiner, B.1
-
19
-
-
49049150360
-
Symplectic structures, their Bäcklund transformations and hereditary symmetries
-
B. Fuchssteiner and A. Fokas, Symplectic structures, their Bäcklund transformations and hereditary symmetries, Phys. D 4 (1981), no. 1, 47-66.
-
(1981)
Phys. D
, vol.4
, Issue.1
, pp. 47-66
-
-
Fuchssteiner, B.1
Fokas, A.2
-
20
-
-
0038584929
-
Algebra-geometric solutions of the Camassa-Holm hierarchy
-
F. Gesztesy and H. Holden, Algebra-geometric solutions of the Camassa-Holm hierarchy, Rev. Mat. Iberoamericana 19 (2003), no. 1, 73-142.
-
(2003)
Rev. Mat. Iberoamericana
, vol.19
, Issue.1
, pp. 73-142
-
-
Gesztesy, F.1
Holden, H.2
-
21
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry. I
-
M. Grillakis, J. Shatah, and W. Strauss, Stability theory of solitary waves in the presence of symmetry. I, J. Funct. Anal. 74 (1987), no. 1, 160-197.
-
(1987)
J. Funct. Anal.
, vol.74
, Issue.1
, 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
-
R. Johnson, Camassa-Holm, Korteweg-de Vries and related models for water waves, J. Fluid Mech. 455 (2002), 63-82.
-
(2002)
J. Fluid Mech.
, vol.455
, pp. 63-82
-
-
Johnson, R.1
-
23
-
-
1342300742
-
On solutions of the Camassa-Holm equation
-
_, On solutions of the Camassa-Holm equation, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 459 (2003), no. 2035, 1687-1708.
-
(2003)
R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.
, vol.459
, Issue.2035
, pp. 1687-1708
-
-
-
24
-
-
0037612018
-
Euler equations on homogeneous spaces and Virasoro orbits
-
B. Khesin and G. Misiołek, Euler equations on homogeneous spaces and Virasoro orbits, Adv. Math. 176 (2003), no. 1, 116-144.
-
(2003)
Adv. Math.
, vol.176
, Issue.1
, pp. 116-144
-
-
Khesin, B.1
Misiołek, G.2
-
25
-
-
0036434830
-
The scattering approach for the Camassa-Holm equation
-
J. Lenells, The scattering approach for the Camassa-Holm equation, J. Nonlinear Math. Phys. 9 (2002), no. 4, 389-393.
-
(2002)
J. Nonlinear Math. Phys.
, vol.9
, Issue.4
, pp. 389-393
-
-
Lenells, J.1
-
26
-
-
1342267624
-
Stability of periodic peakons
-
_, Stability of periodic peakons, Int. Math. Res. Not. 2004 (2004), no. 10, 485-499.
-
(2004)
Int. Math. Res. Not.
, vol.2004
, Issue.10
, pp. 485-499
-
-
-
27
-
-
2442664231
-
A variational approach to the stability of periodic peakons
-
_, A variational approach to the stability of periodic peakons, J. Nonlinear Math. Phys. 11 (2004), no. 2, 151-163.
-
(2004)
J. Nonlinear Math. Phys.
, vol.11
, Issue.2
, pp. 151-163
-
-
-
30
-
-
10044227192
-
Traveling wave solutions of the Camassa-Holm and Korteweg-de fries equations
-
_, Traveling wave solutions of the Camassa-Holm and Korteweg-de fries equations, J. Nonlinear Math. Phys. 11 (2004), 508-520.
-
(2004)
J. Nonlinear Math. Phys.
, vol.11
, pp. 508-520
-
-
-
31
-
-
0002497535
-
Integrable systems and algebraic curves
-
Global Analysis (Proc. Biennial Sem. Canad. Math. Congr., Univ. Calgary, Calgary, Alberta, 1978), Springer, Berlin
-
H. McKean, Integrable systems and algebraic curves, Global Analysis (Proc. Biennial Sem. Canad. Math. Congr., Univ. Calgary, Calgary, Alberta, 1978), Lecture Notes in Math., vol. 755, Springer, Berlin, 1979, pp. 83-200.
-
(1979)
Lecture Notes in Math.
, vol.755
, pp. 83-200
-
-
McKean, H.1
-
32
-
-
0001253693
-
The spectrum of Hill's equation
-
H. McKean and P. van Moerbeke, The spectrum of Hill's equation, Invent. Math. 30 (1975), no. 3, 217-274.
-
(1975)
Invent. Math.
, vol.30
, Issue.3
, pp. 217-274
-
-
McKean, H.1
Van Moerbeke, P.2
-
33
-
-
0031989845
-
A shallow water equation as a geodesic flow on the Bott-Virasoro group
-
G. Misiołek, A shallow water equation as a geodesic flow on the Bott-Virasoro group, J. Geom. Phys. 24 (1998), no. 3, 203-208.
-
(1998)
J. Geom. Phys.
, vol.24
, Issue.3
, pp. 203-208
-
-
Misiołek, G.1
-
34
-
-
0003317858
-
Applications of lie groups to differential equations, 2nd ed
-
Springer, New York
-
P. Olver, Applications of Lie Groups to Differential Equations, 2nd ed., Graduate Texts in Mathematics, vol. 107, Springer, New York, 1993.
-
(1993)
Graduate Texts in Mathematics
, vol.107
-
-
Olver, P.1
-
35
-
-
34250093431
-
The super Korteweg-de Vries equation as an Euler equation
-
V. Ovsienko and B. Khesin, The super Korteweg-de Vries equation as an Euler equation, Funktsional. Anal. i Prilozhen. 21 (1987), no. 4, 81-82.
-
(1987)
Funktsional. Anal. I Prilozhen
, vol.21
, Issue.4
, pp. 81-82
-
-
Ovsienko, V.1
Khesin, B.2
-
36
-
-
0038108218
-
Geometric integrability of the Camassa-Holm equation
-
E. Reyes, Geometric integrability of the Camassa-Holm equation, Lett. Math. Phys. 59 (2002), no. 2, 117-131.
-
(2002)
Lett. Math. Phys.
, vol.59
, Issue.2
, pp. 117-131
-
-
Reyes, E.1
-
37
-
-
0030544208
-
Zero curvature formulations of dual hierarchies
-
J. Schiff, Zero curvature formulations of dual hierarchies, J. Math. Phys. 37 (1996), no. 4, 1928-1938.
-
(1996)
J. Math. Phys.
, vol.37
, Issue.4
, pp. 1928-1938
-
-
Schiff, J.1
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