-
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 Probl., 15:L1–L4.
-
(1999)
Inverse Probl.
, vol.15
, pp. L1-L4
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
2
-
-
0034714658
-
Multipeakons and the classical moment problems
-
Beals, R, Sattinger, D, and Szmigielski, J. 2000. Multipeakons and the classical moment problems. Adv. Math., 154:229–257.
-
(2000)
Adv. Math.
, vol.154
, pp. 229-257
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
3
-
-
0034416271
-
Rigorous derivation of KdV-type systems from a general class of nonlinear hyperbolic systems
-
Ben, Youssef W, and Colin, T. 2000. Rigorous derivation of KdV-type systems from a general class of nonlinear hyperbolic systems. Math. Model. Numer. Anal., 34:873–911.
-
(2000)
Math. Model. Numer. Anal.
, vol.34
, pp. 873-911
-
-
Ben, Y.W.1
Colin, T.2
-
4
-
-
0001865962
-
-
Benjamin, B, Bona, J, and Mahony, J. 1972. Philos. Trans. R. Soc. A, 272:47
-
(1972)
Philos. Trans. R. Soc. A
, vol.272
, pp. 47
-
-
Benjamin, B.1
Bona, J.2
Mahony, J.3
-
5
-
-
0003372381
-
Lectures on nonlinear wave motion
-
Benjamin, T B. 1974. Lectures on nonlinear wave motion. Lect. Appl. Math., 15:3–48.
-
(1974)
Lect. Appl. Math.
, vol.15
, pp. 3-48
-
-
Benjamin, T.B.1
-
6
-
-
84902775564
-
Internal waves of permanent form in fluids of great depth
-
Benjamin, T B. 1967. Internal waves of permanent form in fluids of great depth. J. Fluid Mech., 29:559–582.
-
(1967)
J. Fluid Mech.
, vol.29
, pp. 559-582
-
-
Benjamin, T.B.1
-
7
-
-
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
-
8
-
-
56349110516
-
A new integrable shallow water equation
-
Camassa, R, Holm, D D, and Hymann, 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.D.2
Hymann, J.3
-
9
-
-
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. Diff. Equ., 141:218–235.
-
(1997)
J. Diff. Equ.
, vol.141
, pp. 218-235
-
-
Constantin, A.1
-
10
-
-
0000684999
-
On the inverse spectral problem for Camassa-Holm equation
-
Constantin, A. 1998. On the inverse spectral problem for Camassa-Holm equation. J. Funct. Anal., 155:352–363.
-
(1998)
J. Funct. Anal.
, vol.155
, pp. 352-363
-
-
Constantin, A.1
-
11
-
-
0034415062
-
Existence of permanent and breaking waves for a shallow water eqution: A geometric approach
-
(Grenoble)
-
Constantin, A. 2000. Existence of permanent and breaking waves for a shallow water eqution:a geometric approach. Ann. Inst. Fourier, 50:321–362. (Grenoble)
-
(2000)
Ann. Inst. Fourier
, vol.50
, pp. 321-362
-
-
Constantin, A.1
-
12
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
Constantin, A. 2001. On the scattering problem for the Camassa-Holm equation. Proc. R. Soc. Ser. A, 457:953–970.
-
(2001)
Proc. R. Soc. Ser. A
, vol.457
, pp. 953-970
-
-
Constantin, A.1
-
13
-
-
0032374820
-
Well-posedness, global existence, and blow up phenomena for a periodic quasi-linear hyperbolic equation
-
Constantin, A, and Escher, J. 1998. Well-posedness, global existence, and blow up phenomena for a periodic quasi-linear hyperbolic equation. Commun. Pure Appl. Math., 51:475–504.
-
(1998)
Commun. Pure Appl. Math.
, vol.51
, pp. 475-504
-
-
Constantin, A.1
Escher, J.2
-
14
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
Constantin, A, and Escher, J. 1998. Wave breaking for nonlinear nonlocal shallow water equations. Acta Math., 181:229–243.
-
(1998)
Acta Math.
, vol.181
, pp. 229-243
-
-
Constantin, A.1
Escher, J.2
-
15
-
-
0032328853
-
On the structure of a family of quasilinear equations arising in shallow water theory
-
Constantin, A, and Escher, J. 1998. On the structure of a family of quasilinear equations arising in shallow water theory. Math. Ann., 312:403–416.
-
(1998)
Math. Ann.
, vol.312
, pp. 403-416
-
-
Constantin, A.1
Escher, J.2
-
16
-
-
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. Ann. Scuola Norm. Sup. Pisa, 26:303–328.
-
(1998)
Ann. Scuola Norm. Sup. Pisa
, vol.26
, pp. 303-328
-
-
Constantin, A.1
Escher, J.2
-
17
-
-
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
-
18
-
-
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
-
19
-
-
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
-
20
-
-
0034349440
-
Global weak solutions for a shallow water equation
-
Constantin, A, and Molinet, L. 2000. Global weak solutions for a shallow water equation. Commun. Math. Phys., 211:45–61.
-
(2000)
Commun. Math. Phys.
, vol.211
, pp. 45-61
-
-
Constantin, A.1
Molinet, L.2
-
22
-
-
0034729052
-
Stability of a class of solitary waves in compressible elastic rods
-
Constantin, A, and Strauss, W A. 2000. Stability of a class of solitary waves in compressible elastic rods. Phys. Lett. A, 270:140–148.
-
(2000)
Phys. Lett. A
, vol.270
, pp. 140-148
-
-
Constantin, A.1
Strauss, W.A.2
-
24
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
Constantin, A, and Strauss, W A. 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.A.2
-
25
-
-
0031679566
-
Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
-
Dai, H-H. 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
-
26
-
-
0013184506
-
Critical threshold in Euler-Poisson equations
-
Engelberg, S, Liu, H, and Tadmor, E. 2001. Critical threshold in Euler-Poisson equations. Indiana Univ. Math. J., 50:109–157.
-
(2001)
Indiana Univ. Math. J.
, vol.50
, pp. 109-157
-
-
Engelberg, S.1
Liu, H.2
Tadmor, E.3
-
27
-
-
9744228735
-
Burgers-Poisson: A nonlinear dispersive model equation
-
Fellner, K, and Schmeiser, C. 2004. Burgers-Poisson:A nonlinear dispersive model equation. SIAM J. Appl. Math., 64:1509–1525.
-
(2004)
SIAM J. Appl. Math.
, vol.64
, pp. 1509-1525
-
-
Fellner, K.1
Schmeiser, C.2
-
28
-
-
0001702502
-
On a class of physically important integrable equations
-
Fokas, A S. 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
-
-
4243241002
-
Asymptotic integrability of water waves
-
Fokas, A S, and Liu, Q M. 1996. Asymptotic integrability of water waves. Phys. Rev. Lett., 77:2347–2351.
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2347-2351
-
-
Fokas, A.S.1
Liu, Q.M.2
-
30
-
-
49049150360
-
Symplectic structures, their Bäcklund transformations and hereditary symmetries
-
Fuchssteiner, B, and Fokas, A S. Symplectic structures, their Bäcklund transformations and hereditary symmetries. Physica D, 4 (1981/82) 47–66.
-
Physica D
, vol.4
, Issue.1981-82
, pp. 47-66
-
-
Fuchssteiner, B.1
Fokas, A.S.2
-
31
-
-
0005874968
-
Nonlinear effects on the propagation of sound waves in a radiating gas
-
Hamer, K. 1971. Nonlinear effects on the propagation of sound waves in a radiating gas. Quart. J. Mech. Appl. Math., 24:155–168.
-
(1971)
Quart. J. Mech. Appl. Math.
, vol.24
, pp. 155-168
-
-
Hamer, K.1
-
32
-
-
20444476025
-
A class of equations with peakon and pulson solutions
-
(with a appendix by Braden H and Byatt-Smith J)
-
Holm, D D, and Hone, A N W. 2005. A class of equations with peakon and pulson solutions. J. Nonlinear Math. Phys., 12 (1):380–394. (with a appendix by Braden H and Byatt-Smith J)
-
(2005)
J. Nonlinear Math. Phys.
, vol.12
, Issue.1
, pp. 380-394
-
-
Holm, D.D.1
Hone, A.N.W.2
-
33
-
-
0004643910
-
Numerical solutions of some nonlinear dispersive wave equations
-
Hunter, J K. 1990. Numerical solutions of some nonlinear dispersive wave equations. Lect. Appl. Math., 26:301–316.
-
(1990)
Lect. Appl. Math.
, vol.26
, pp. 301-316
-
-
Hunter, J.K.1
-
35
-
-
0000452055
-
On a completely integrable nonlinear hyperbolic variational equations
-
Hunter, J K, and Zheng, Y X. 1994. On a completely integrable nonlinear hyperbolic variational equations. Physica D, 79:361–386.
-
(1994)
Physica D
, vol.79
, pp. 361-386
-
-
Hunter, J.K.1
Zheng, Y.X.2
-
36
-
-
84980192441
-
Formation of singularities in one-dimensional nonlinear wave propagation
-
John, F. 1974. Formation of singularities in one-dimensional nonlinear wave propagation. Commun. Pure Appl. Math., 27:337–405.
-
(1974)
Commun. Pure Appl. Math.
, vol.27
, pp. 337-405
-
-
John, F.1
-
37
-
-
0037171407
-
Camassa-Holm, Korteweg-de Vries and related models for water waves
-
Johnson, R S. 2002. Camassa-Holm, 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
-
38
-
-
1342300742
-
On solutions of the Camassa-Holm equation
-
Johnson, R S. 2003. On solutions of the Camassa-Holm equation. Proc. R. Soc. Ser. A, 459:1687–1708.
-
(2003)
Proc. R. Soc. Ser. A
, vol.459
, pp. 1687-1708
-
-
Johnson, R.S.1
-
39
-
-
0032283664
-
Shock waves for a model system of the radiating gas
-
Kawashima, S, and Nishibata, S. 1999. Shock waves for a model system of the radiating gas. SIAM J. math. Anal., 30:95–117.
-
(1999)
SIAM J. math. Anal.
, vol.30
, pp. 95-117
-
-
Kawashima, S.1
Nishibata, S.2
-
40
-
-
0033483085
-
The Camasaa-Holm equation as a geodesic flow on the differmorphism group
-
Kouranbaeva, S. 1999. The Camasaa-Holm equation as a geodesic flow on the differmorphism group. J. Math. Phys., 40:857–868.
-
(1999)
J. Math. Phys.
, vol.40
, pp. 857-868
-
-
Kouranbaeva, S.1
-
41
-
-
33750483511
-
Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
-
Lax, P. 1964. Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations. J. Math. Phys., 5:611–613.
-
(1964)
J. Math. Phys.
, vol.5
, pp. 611-613
-
-
Lax, P.1
-
42
-
-
0036434830
-
The scattering approach for the Camassa-Holm equation
-
Lenells, J. 2002. The scattering approach for the Camassa-Holm equation. J. Nonlinear Math. Phys., 9:953–970.
-
(2002)
J. Nonlinear Math. Phys.
, vol.9
, pp. 953-970
-
-
Lenells, J.1
-
43
-
-
0002990049
-
Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations
-
Liu, T P. 1979. Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations. J. Differ. Equ., 33:92–111.
-
(1979)
J. Differ. Equ.
, vol.33
, pp. 92-111
-
-
Liu, T.P.1
-
44
-
-
4243069100
-
Soliton collisions in the ion acoustic plasma equations
-
Li, Y, and Sattinger, D H. 1999. Soliton collisions in the ion acoustic plasma equations. J. Math. Fluid Mech., 1:117–130.
-
(1999)
J. Math. Fluid Mech.
, vol.1
, pp. 117-130
-
-
Li, Y.1
Sattinger, D.H.2
-
45
-
-
0034688728
-
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive models wave equation
-
Li, Y A, and Olver, P J. 2000. Well-posedness and blow-up solutions for an integrable nonlinearly dispersive models wave equation. J. Differ. Equ., 162:27–63.
-
(2000)
J. Differ. Equ.
, vol.162
, pp. 27-63
-
-
Li, Y.A.1
Olver, P.J.2
-
46
-
-
0035556990
-
Critical thresholds in a convolution model for nonlinear conservation laws
-
Liu, H L, and Tadmor, E. 2002. Critical thresholds in a convolution model for nonlinear conservation laws. SIAM J. Math. Anal., 33:930–945.
-
(2002)
SIAM J. Math. Anal.
, vol.33
, pp. 930-945
-
-
Liu, H.L.1
Tadmor, E.2
-
47
-
-
1642544667
-
Critical thresholds in 2-D restricted Euler-Poisson equations
-
Liu, H L, and Tadmor, E. 2003. Critical thresholds in 2-D restricted Euler-Poisson equations. SIAM J. Appl. Math., 63:1889–1910.
-
(2003)
SIAM J. Appl. Math.
, vol.63
, pp. 1889-1910
-
-
Liu, H.L.1
Tadmor, E.2
-
48
-
-
1842739949
-
KdV dynamics in the plasma-sheath transition
-
Liu, H L, and Slemrod, M. 2004. KdV dynamics in the plasma-sheath transition. Appl. Math. Lett., 17:401–410.
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 401-410
-
-
Liu, H.L.1
Slemrod, M.2
-
49
-
-
0003297871
-
Nonlinear nonlocal equations in the Theory of Waves
-
Amererican Mathematical Society, Providence, 1994
-
Naumkin, P, and Shishmarev, I. 133. Nonlinear nonlocal equations in the Theory of Waves. Transl. Math. Monographs, Amererican Mathematical Society, Providence, 1994
-
Transl. Math. Monographs
-
-
Naumkin, P.1
Shishmarev, I.2
-
50
-
-
33646882954
-
Algebraic solitary waves in stratified fluids
-
Ono, H. 1975. Algebraic solitary waves in stratified fluids. J. Phys. Soc. Jpn., 39:1082–1091.
-
(1975)
J. Phys. Soc. Jpn.
, vol.39
, pp. 1082-1091
-
-
Ono, H.1
-
51
-
-
0036643094
-
The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method
-
Parkes, E J, and Vakhnenko, V O. 2002. The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method. Chaos Solitons Fractals, 13:1819–1826.
-
(2002)
Chaos Solitons Fractals
, vol.13
, pp. 1819-1826
-
-
Parkes, E.J.1
Vakhnenko, V.O.2
-
52
-
-
0000340720
-
Extending hydrodynamics via the regularization of the Chapman-Enskog expansion
-
Rosenau, P. 1989. Extending hydrodynamics via the regularization of the Chapman-Enskog expansion. Phys. Rev. A, 40:7193–7196.
-
(1989)
Phys. Rev. A
, vol.40
, pp. 7193-7196
-
-
Rosenau, P.1
-
53
-
-
21144464154
-
Regularized Chapman-Enskog expansion for scalar conservation laws
-
Schochet, S, and Tadmor, E. 1992. Regularized Chapman-Enskog expansion for scalar conservation laws. Arch. Ration. Mech. Anal., 119:95–107.
-
(1992)
Arch. Ration. Mech. Anal.
, vol.119
, pp. 95-107
-
-
Schochet, S.1
Tadmor, E.2
-
54
-
-
0000674820
-
A renormalization method for the Chapman-Enskog expansion
-
Slemrod, M. 1997. A renormalization method for the Chapman-Enskog expansion. Physica D, 109:257–273.
-
(1997)
Physica D
, vol.109
, pp. 257-273
-
-
Slemrod, M.1
-
55
-
-
0032047365
-
Renormalization of the Chapman-Enskog expansion: Isothermal fluid flow and Rosenau saturation
-
Slemrod, M. 1998. Renormalization of the Chapman-Enskog expansion:isothermal fluid flow and Rosenau saturation. J. Stat. Phys., 91:285–305.
-
(1998)
J. Stat. Phys.
, vol.91
, pp. 285-305
-
-
Slemrod, M.1
-
57
-
-
36149031729
-
Solitions in a nonlinear model medium
-
Vakhnenko, V O. 1992. Solitions in a nonlinear model medium. J. Phys. A., 25:4181–4187.
-
(1992)
J. Phys. A.
, vol.25
, pp. 4181-4187
-
-
Vakhnenko, V.O.1
-
59
-
-
0036913863
-
On the uniqueness and large time behavior of the weak solutions to a shallow water equation
-
Xin, Z, and Zhang, P. 2002. On the uniqueness and large time behavior of the weak solutions to a shallow water equation. Commun. Partial Differ. Equ., 27:1815–1844.
-
(2002)
Commun. Partial Differ. Equ.
, vol.27
, pp. 1815-1844
-
-
Xin, Z.1
Zhang, P.2
|