-
1
-
-
0000310316
-
The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
-
Alber, M., Camassa, R., Holm, D., Marsden, J. E., The geometry of peaked solitons and billiard solutions of a class of integrable PDE's, Lett. Math. Phys. 32 (1994), 137-151.
-
(1994)
Lett. Math. Phys.
, vol.32
, pp. 137-151
-
-
Alber, M.1
Camassa, R.2
Holm, D.3
Marsden, J.E.4
-
2
-
-
0000960226
-
On the link between umbilic geodesics and soliton solutions of nonlinear PDE's
-
Alber, M., Camassa, R., Holm, D., Marsden, J. E., On the link between umbilic geodesics and soliton solutions of nonlinear PDE's, Proc. R. Soc. London 450 (1995), 677-692.
-
(1995)
Proc. R. Soc. London
, vol.450
, pp. 677-692
-
-
Alber, M.1
Camassa, R.2
Holm, D.3
Marsden, J.E.4
-
3
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R., Holm D., An integrable shallow water equation with peaked solitons, Phys. Rev. Letters 71 (1993), 1661-1664.
-
(1993)
Phys. Rev. Letters
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
4
-
-
0039998297
-
-
Report, Center for Nonlinear Studies, Los Alamos National Lab. Feb.
-
Camassa, R., Holm, D., Hyman, J., A bi-Hamiltonian shallow water equation with peaked solitons, Report, Center for Nonlinear Studies, Los Alamos National Lab. (Feb. 1993).
-
(1993)
A bi-Hamiltonian Shallow Water Equation with Peaked Solitons
-
-
Camassa, R.1
Holm, D.2
Hyman, J.3
-
5
-
-
0000213450
-
The Cauchy problem for the periodic Camassa-Holm equation
-
Constantin, A., The Cauchy problem for the periodic Camassa-Holm equation J. Differential Equations 141 (1997), 218-235.
-
(1997)
J. Differential Equations
, vol.141
, pp. 218-235
-
-
Constantin, A.1
-
6
-
-
0032374820
-
Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation
-
Constantin, A., Escher, J., Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation, Comm. Pure Appl. Math. LI (1998), 475-504.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 475-504
-
-
Constantin, A.1
Escher, J.2
-
7
-
-
0001662743
-
Solitons in the Camassa-Holm shallow water equation
-
Cooper, F., Shepard, H., Solitons in the Camassa-Holm shallow water equation, Physics Letters A 194 (1994), 246-250.
-
(1994)
Physics Letters A
, vol.194
, pp. 246-250
-
-
Cooper, F.1
Shepard, H.2
-
9
-
-
0003346795
-
Measure theory and fine properties of functions
-
Boca Raton
-
Evans, L., Gariepy, R., Measure Theory and Fine Properties of Functions, Studies in Adv. Math., Boca Raton, 1992.
-
(1992)
Studies in Adv. Math.
-
-
Evans, L.1
Gariepy, R.2
-
10
-
-
49049150360
-
Symplectic structures, their Bäcklund transformations and hereditary symmetries
-
Fokas, A. S., Fuchssteiner, B., Symplectic structures, their Bäcklund transformations and hereditary symmetries, Physica 4D (1981), 47-66.
-
(1981)
Physica
, vol.4 D
, pp. 47-66
-
-
Fokas, A.S.1
Fuchssteiner, B.2
-
11
-
-
0002209413
-
A plethora of integrable bi-Hamiltonian equations
-
Birkhäuser
-
Fokas, A. S., Olver, P., Rosenau, P., A plethora of integrable bi-Hamiltonian equations, "Progress in Nonlinear Differential Equations", Birkhäuser, 26 (1996), 93-101.
-
(1996)
Progress in Nonlinear Differential Equations
, vol.26
, pp. 93-101
-
-
Fokas, A.S.1
Olver, P.2
Rosenau, P.3
-
12
-
-
22244482803
-
Some tricks from the symmetry-toolbox for nonlinear equations: Gen-eralizations of the Camassa-Holm equation
-
Fuchssteiner, B., Some tricks from the symmetry-toolbox for nonlinear equations: gen-eralizations of the Camassa-Holm equation, Physica D 95 (1996), 296-243.
-
(1996)
Physica D
, vol.95
, pp. 296-1243
-
-
Fuchssteiner, B.1
-
13
-
-
84980193643
-
The Korteweg-de Vries equation and its generalizations
-
Gardner, C., Greene J., Kruskal, M., Miura, R., The Korteweg-de Vries equation and its generalizations, Comm. Pure Appl. Math. 27 (1974), 97-133.
-
(1974)
Comm. Pure Appl. Math.
, vol.27
, pp. 97-133
-
-
Gardner, C.1
Greene, J.2
Kruskal, M.3
Miura, R.4
-
14
-
-
0003123140
-
Quasi-linear equations of evolution, with applications to partial differential equations
-
"Spectral Theory and Differential Equations"
-
Kato, T., Quasi-linear equations of evolution, with applications to partial differential equations, "Spectral Theory and Differential Equations", Springer Lecture Notes in Mathematics, 448 (1975), 25-70.
-
(1975)
Springer Lecture Notes in Mathematics
, vol.448
, pp. 25-70
-
-
Kato, T.1
-
15
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equation
-
Kato, T., On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in Appl. Math. 8 (1983), 93-126.
-
(1983)
Studies in Appl. Math.
, vol.8
, pp. 93-126
-
-
Kato, T.1
-
16
-
-
84980148156
-
Periodic solutions of the Korteweg-de Vries equation
-
Lax, P., Periodic solutions of the Korteweg-de Vries equation, Comm. Pure Appl. Math. 28 (1975), 141-188.
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 141-188
-
-
Lax, P.1
-
17
-
-
0031535504
-
Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system
-
Li, Y. A., Olver, P., Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system, Discrete Contin. Dynam. Systems 3 (1997), 419-432.
-
(1997)
Discrete Contin. Dynam. Systems
, vol.3
, pp. 419-432
-
-
Li, Y.A.1
Olver, P.2
-
18
-
-
0030544208
-
Zero curvature formulations of dual hierarchies
-
Schiff, J., Zero curvature formulations of dual hierarchies, J. Math. Phys. 37 (1996), 1928-1938.
-
(1996)
J. Math. Phys.
, vol.37
, pp. 1928-1938
-
-
Schiff, J.1
-
19
-
-
0003552286
-
-
Princeton University Press, Princeton
-
Stein, E. M., Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, Princeton, 1993.
-
(1993)
Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals
-
-
Stein, E.M.1
-
20
-
-
0004181419
-
-
J. Wiley, Sons, New York
-
Whitham, G. B., Linear and Nonlinear Waves, J. Wiley, Sons, New York, 1980,
-
(1980)
Linear and Nonlinear Waves
-
-
Whitham, G.B.1
|