-
1
-
-
0001865962
-
Model equations for long waves in nonlinear dispersive systems
-
Benjamin, T. B., Bona, J.L., and Mahony, J. J. (1972). Model equations for long waves in nonlinear dispersive systems. Phil. Trans. Roy. Soc. London Ser. A 272, 47-78.
-
(1972)
Phil. Trans. Roy. Soc. London Ser. A
, vol.272
, pp. 47-78
-
-
Benjamin, T.B.1
Bona, J.L.2
Mahony, J.J.3
-
2
-
-
0031142252
-
Decay and analyticity of solitary waves
-
Bona, J. L., and Li, Y. A. (1997). Decay and analyticity of solitary waves. J. Math. Pures April. 76, 377-430.
-
(1997)
J. Math. Pures April.
, vol.76
, pp. 377-430
-
-
Bona, J.L.1
Li, Y.A.2
-
3
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa, R., and Holm, D. 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.D.2
-
4
-
-
0346618670
-
The cusp solitons in optical fibers
-
Cheng, L. (1996). The cusp solitons in optical fibers. J. Phys, A Math. Gen. 29, L141-L142.
-
(1996)
J. Phys, A Math. Gen.
, vol.29
-
-
Cheng, L.1
-
5
-
-
0001688084
-
An existence theory for water waves and the Boussinesq and Kortewegde Vries scaling limits
-
Craig, W. ( 1985). An existence theory for water waves and the Boussinesq and Kortewegde Vries scaling limits. Commun. Part. Diff. Eq. 10, 787-1003.
-
(1985)
Commun. Part. Diff. Eq.
, vol.10
, pp. 787-1003
-
-
Craig, W.1
-
6
-
-
84892856043
-
Gain of regularity for equations of KdV type
-
Craig, W., Kappeler, T., and Strauss, W. ( 1992). Gain of regularity for equations of KdV type. Ann. Inst. Henri Poincaré Anal Nonlin. 9, 147-186.
-
(1992)
Ann. Inst. Henri Poincaré Anal Nonlin.
, vol.9
, pp. 147-186
-
-
Craig, W.1
Kappeler, T.2
Strauss, W.3
-
7
-
-
0002209413
-
A plethora of integrable biHamiltonian equations
-
Fokas, A. S., and Gel'fand, I. M. (eds). Birkhäuser, Cambridge, MA
-
Fokas, A. S., Olver, P. J., and Rosenau, P. (1996). A plethora of integrable biHamiltonian equations. In Fokas, A. S., and Gel'fand, I. M. (eds). Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman 26, Birkhäuser, Cambridge, MA, pp. 93-101.
-
(1996)
Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman 26
, pp. 93-101
-
-
Fokas, A.S.1
Olver, P.J.2
Rosenau, P.3
-
9
-
-
0001025045
-
The Lie algebra structure of nonlinear evolution equations admitting infinite dimensional abelian symmetry groups
-
Fuchssteiner, B. ( 1981 ). The Lie algebra structure of nonlinear evolution equations admitting infinite dimensional abelian symmetry groups. Prog. Theor. Phys. 65, 861-876.
-
(1981)
Prog. Theor. Phys.
, vol.65
, pp. 861-876
-
-
Fuchssteiner, B.1
-
10
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equation
-
Kalo, T. (1983). On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Adv. Math. Suppl. Stud. Appl. Math. 8, 93-128.
-
(1983)
Adv. Math. Suppl. Stud. Appl. Math.
, vol.8
, pp. 93-128
-
-
Kalo, T.1
-
11
-
-
0001148419
-
A higher-order water-wave equation and the method for solving it
-
Kaup, D. J. (1975). A higher-order water-wave equation and the method for solving it. Prog. Theor. Phys. 54, 396-408.
-
(1975)
Prog. Theor. Phys.
, vol.54
, pp. 396-408
-
-
Kaup, D.J.1
-
12
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
Kenig, C. E., Ponce, G., and Vega, L. ( 1993). Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Commun. Pure Appl. Math 46, 527-620.
-
(1993)
Commun. Pure Appl. Math
, vol.46
, pp. 527-620
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
13
-
-
34250112720
-
Mathematics of dispersive water waves
-
Kupershmidt, B. A. (1985). Mathematics of dispersive water waves. Commun. Math. Phys. 99, 51-73.
-
(1985)
Commun. Math. Phys.
, vol.99
, pp. 51-73
-
-
Kupershmidt, B.A.1
-
14
-
-
0031535504
-
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. Part I. Compactons and peakons
-
1MA Preprint Series No. 1424
-
Li, Y. A., and Olver, P. J. (1997). Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. Part I. Compactons and peakons. Discrete Cont. Dyn. Syst. 3, 419-432 (1MA Preprint Series No. 1424).
-
(1997)
Discrete Cont. Dyn. Syst.
, vol.3
, pp. 419-432
-
-
Li, Y.A.1
Olver, P.J.2
-
15
-
-
0032326413
-
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system, II. Complex analytic behavior and convergence to nonanalytic solutions
-
in press (IMA Preprint Series No. 1424)
-
Li, Y. A., and Olver, P. J. (1998). Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system, II. Complex analytic behavior and convergence to nonanalytic solutions. Discrete Cont. Dyn. Sysl. 4, in press (IMA Preprint Series No. 1424).
-
(1998)
Discrete Cont. Dyn. Sysl.
, vol.4
-
-
Li, Y.A.1
Olver, P.J.2
-
16
-
-
0000582346
-
Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support
-
Olver, P. J., and Rosneau, P. (1996). Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support. Phys. Rev. E 53, 1900-1906.
-
(1996)
Phys. Rev. e
, vol.53
, pp. 1900-1906
-
-
Olver, P.J.1
Rosneau, P.2
-
17
-
-
38249023108
-
Regularity of solutions to nonlinear dispersive equations
-
Ponce, G. (1989). Regularity of solutions to nonlinear dispersive equations. J. Diff. Eq. 78, 122-135.
-
(1989)
J. Diff. Eq.
, vol.78
, pp. 122-135
-
-
Ponce, G.1
-
18
-
-
12044249264
-
Nonlinear dispersion and compact structures
-
Rosenau, P. (1994). Nonlinear dispersion and compact structures. Phys. Rev. Lett. 73, 1737-1741.
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 1737-1741
-
-
Rosenau, P.1
-
19
-
-
12044253199
-
Compactons: Solitons with finite wavelength
-
Rosenau. P., and Hyman, J. M. (1993). Compactons: Solitons with finite wavelength. Phys. Rev. Lett. 70, 564-567.
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 564-567
-
-
Rosenau, P.1
Hyman, J.M.2
-
20
-
-
0015671259
-
The soliton: A new concept in applied science
-
Scott, A.C., Chu, F. Y. F., and McLaughlin, D. W. (1973). The soliton: A new concept in applied science. Proc. IEEE 61, 1443-1483.
-
(1973)
Proc. IEEE
, vol.61
, pp. 1443-1483
-
-
Scott, A.C.1
Chu, F.Y.F.2
McLaughlin, D.W.3
-
21
-
-
0018030940
-
On the existence of a wave of greatest height and Stokes' conjecture
-
Toland, J. F. (1978). On the existence of a wave of greatest height and Stokes' conjecture. Proc: Roy. Soc. London A 363, 469-485.
-
(1978)
Proc: Roy. Soc. London A
, vol.363
, pp. 469-485
-
-
Toland, J.F.1
-
22
-
-
0001098290
-
Cusp soliton of a new integrable nonlinear evolution equation
-
Wadati, M. Ichikawa. Y. H., and Shimizu, T. (1980). Cusp soliton of a new integrable nonlinear evolution equation. Prog. Theor. Phys. 64, 1959-1967.
-
(1980)
Prog. Theor. Phys.
, vol.64
, pp. 1959-1967
-
-
Wadati, M.1
Ichikawa, Y.H.2
Shimizu, T.3
|