-
1
-
-
84894261920
-
-
Ph. D. Thesis, Department of Mathematics, University of Oklahoma, Norman, OK
-
A. A. Alazman, A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation, Ph. D. Thesis, Department of Mathematics, University of Oklahoma, Norman, OK (2000).
-
(2000)
A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation
-
-
Alazman, A.A.1
-
2
-
-
0000223237
-
Comparisons between model equations for long waves
-
J. P. Albert and J. L. Bona, Comparisons between model equations for long waves, J. Nonlinear Sci., 1 (1991), 345-374.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 345-374
-
-
Albert, J.P.1
Bona, J.L.2
-
3
-
-
0001865962
-
Model equations for long waves in nonlinear dispersive systems
-
T. B. Benjamin, J. L. Bona, and J. J. Mahony, Model equations for long waves in nonlinear dispersive systems, Philos. Trans. Royal Soc. London, Ser. A, 272 (1972), 47-78.
-
(1972)
Philos. Trans. Royal Soc. London, Ser. A
, vol.272
, pp. 47-78
-
-
Benjamin, T.B.1
Bona, J.L.2
Mahony, J.J.3
-
4
-
-
16744366059
-
A mathematical model for long waves generated by wavemakers in non-linear dispersive systems
-
J. L. Bona and P. J. Bryant, A mathematical model for long waves generated by wavemakers in non-linear dispersive systems, Proc. Cambridge Philos. Soc., 73 (1973), 391-405.
-
(1973)
Proc. Cambridge Philos. Soc.
, vol.73
, pp. 391-405
-
-
Bona, J.L.1
Bryant, P.J.2
-
5
-
-
0033229362
-
Comparison of model equations for small-amplitude long waves
-
J. L. Bona and H. Chen, Comparison of model equations for small-amplitude long waves, Nonlinear Anal. TMA, 38 (1999), 625-647.
-
(1999)
Nonlinear Anal. TMA
, vol.38
, pp. 625-647
-
-
Bona, J.L.1
Chen, H.2
-
6
-
-
0037980035
-
Solitary waves in nonlinear dispersive systems
-
J. L. Bona and H. Chen, Solitary waves in nonlinear dispersive systems, Discrete Contin. Dyn. Syst. Ser. B, 3 (2002), 313-378.
-
(2002)
Discrete Contin. Dyn. Syst. Ser. B
, vol.3
, pp. 313-378
-
-
Bona, J.L.1
Chen, H.2
-
7
-
-
28444465155
-
Comparison of quarter-plane and two-point boundary value problems: the BBM-equation
-
J. L. Bona, H. Chen, S.-M. Sun, and B.-Y. Zhang, Comparison of quarter-plane and two-point boundary value problems: the BBM-equation, Discrete Contin. Dyn. Syst., Ser. A, 13 (2005), 921-940.
-
(2005)
Discrete Contin. Dyn. Syst., Ser. A
, vol.13
, pp. 921-940
-
-
Bona, J.L.1
Chen, H.2
Sun, S.-M.3
Zhang, B.-Y.4
-
8
-
-
0000327541
-
A Boussinesq system for two-way propagation of nonlinear dispersive waves
-
J. L. Bona and M. Chen, A Boussinesq system for two-way propagation of nonlinear dispersive waves, Physica D, 116 (1998), 191-224.
-
(1998)
Physica D
, vol.116
, pp. 191-224
-
-
Bona, J.L.1
Chen, M.2
-
9
-
-
0011913755
-
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media I: Derivation and the linear theory
-
J. L. Bona, M. Chen, and J.-C. Saut, Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media I: Derivation and the linear theory, J. Nonlinear Sci., 12 (2002), 283-318.
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 283-318
-
-
Bona, J.L.1
Chen, M.2
Saut, J.-C.3
-
10
-
-
2442660478
-
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media II: Nonlinear theory
-
J. L. Bona, M. Chen, and J.-C. Saut, Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media II: Nonlinear theory, Nonlinearity, 17 (2004), 925-952.
-
(2004)
Nonlinearity
, vol.17
, pp. 925-952
-
-
Bona, J.L.1
Chen, M.2
Saut, J.-C.3
-
12
-
-
0001667814
-
An initial and boundary value problem for a model equation for propagation of long waves
-
J. L. Bona and V. A. Dougalis, An initial and boundary value problem for a model equation for propagation of long waves, J. Math. Anal. Appl., 75 (1980), 503-522.
-
(1980)
J. Math. Anal. Appl.
, vol.75
, pp. 503-522
-
-
Bona, J.L.1
Dougalis, V.A.2
-
13
-
-
0018929083
-
Solitary-wave interaction
-
J. L. Bona, W. G. Pritchard, and L. R. Scott, Solitary-wave interaction, Phys. Fluids, 23 (1980), 438-441.
-
(1980)
Phys. Fluids
, vol.23
, pp. 438-441
-
-
Bona, J.L.1
Pritchard, W.G.2
Scott, L.R.3
-
14
-
-
84894276875
-
-
in Fluid dynamics in astrophysics and geophysics, ed. N. Lebovitz (Chicago, Ill., 1981), vol. 20 of Lectures in Appl. Math., Amer. Math. Soc., Providence, R.I.
-
J. L. Bona, W. G. Pritchard, and L. R. Scott, A comparison of solutions of two model equations for long waves, in Fluid dynamics in astrophysics and geophysics, ed. N. Lebovitz (Chicago, Ill., 1981), vol. 20 of Lectures in Appl. Math., Amer. Math. Soc., Providence, R.I., 1983, 235-267.
-
(1983)
A comparison of solutions of two model equations for long waves
, pp. 235-267
-
-
Bona, J.L.1
Pritchard, W.G.2
Scott, L.R.3
-
15
-
-
0001610690
-
Numerical schemes for a model for nonlinear dispersive waves
-
J. L. Bona, W. G. Pritchard, and L. R. Scott, Numerical schemes for a model for nonlinear dispersive waves, J. Comp. Physics, 60 (1985), 167-186.
-
(1985)
J. Comp. Physics
, vol.60
, pp. 167-186
-
-
Bona, J.L.1
Pritchard, W.G.2
Scott, L.R.3
-
16
-
-
0001119719
-
The initial-value problem for the Korteweg-de Vries equation
-
J. L. Bona and R. Smith, The initial-value problem for the Korteweg-de Vries equation, Philos. Trans. Royal Soc. London, Ser. A, 278 (1975), 555-601.
-
(1975)
Philos. Trans. Royal Soc. London, Ser. A
, vol.278
, pp. 555-601
-
-
Bona, J.L.1
Smith, R.2
-
18
-
-
0009303159
-
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II. The KdV-equation
-
J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II. The KdV-equation, Geom. Funct. Anal., 3 (1993), 209-262.
-
(1993)
Geom. Funct. Anal.
, vol.3
, pp. 209-262
-
-
Bourgain, J.1
-
19
-
-
85064294041
-
Solitary wave and multi-pulsed traveling-wave solutions of Boussinesq systems
-
M. Chen, Solitary wave and multi-pulsed traveling-wave solutions of Boussinesq systems, Appl. Anal., 75 (2000), 213-240.
-
(2000)
Appl. Anal.
, vol.75
, pp. 213-240
-
-
Chen, M.1
-
20
-
-
0038806261
-
Sharp global wellposedness for KdV and modified KdV on R and T
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and T. Tao, Sharp global wellposedness for KdV and modified KdV on R and T, J. Amer. Math. Soc., 16 (2003), 705-749.
-
(2003)
J. Amer. Math. Soc.
, vol.16
, pp. 705-749
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
21
-
-
0001688084
-
An existence theory for water waves, and Boussinesq and Korteweg-de Vries scaling limits
-
W. Craig, An existence theory for water waves, and Boussinesq and Korteweg-de Vries scaling limits, Comm. PDE, 10 (1985), 787-1003.
-
(1985)
Comm. PDE
, vol.10
, pp. 787-1003
-
-
Craig, W.1
-
22
-
-
49449121876
-
Numerical study of the regularized long-wave equation. II. Interaction of solitary waves
-
J. C. Eilbeck and G. R. McGuire, Numerical study of the regularized long-wave equation. II. Interaction of solitary waves, J. Comp. Phys., 23 (1977), 63-73.
-
(1977)
J. Comp. Phys.
, vol.23
, pp. 63-73
-
-
Eilbeck, J.C.1
McGuire, G.R.2
-
23
-
-
33746084341
-
Stability of N solitary waves for the generalized BBM equations
-
K. El Dika and Y. Martel, Stability of N solitary waves for the generalized BBM equations, Dyn. Partial Differ. Equ., 1 (2004), 401-437.
-
(2004)
Dyn. Partial Differ. Equ.
, vol.1
, pp. 401-437
-
-
El Dika, K.1
Martel, Y.2
-
24
-
-
0030528276
-
A bilinear estimate with applications to the KdV equation
-
C. E. Kenig, G. Ponce, and L. Vega, A bilinear estimate with applications to the KdV equation, J. American Math. Soc., 9 (1996), 573-603.
-
(1996)
J. American Math. Soc.
, vol.9
, pp. 573-603
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
25
-
-
0041112043
-
Numerical solution of some nonlocal, nonlinear dispersive wave equations
-
B. Pelloni and V. A. Dougalis, Numerical solution of some nonlocal, nonlinear dispersive wave equations, J. Nonlinear Sci., 10 (2000), 1-22.
-
(2000)
J. Nonlinear Sci.
, vol.10
, pp. 1-22
-
-
Pelloni, B.1
Dougalis, V.A.2
-
26
-
-
0034364719
-
The long-wave limit for the water wave problem. I. The case of zero surface tension
-
G. Schneider and C. G. Wayne, The long-wave limit for the water wave problem. I. The case of zero surface tension, Comm. Pure Appl. Math., 53 (2000), 1475-1535.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 1475-1535
-
-
Schneider, G.1
Wayne, C.G.2
-
27
-
-
84971139450
-
Solitary wave solutions for a model of the two-way propagation of water waves in a channel
-
J. F. Toland, Solitary wave solutions for a model of the two-way propagation of water waves in a channel, Math. Proc. Cambridge Philos. Soc., 90 (1984) 343-360.
-
(1984)
Math. Proc. Cambridge Philos. Soc.
, vol.90
, pp. 43-360
-
-
Toland, J.F.1
-
28
-
-
0041091215
-
Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves
-
J. F. Toland, Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves, Comm. Math. Phys., 94 (1986), 239-254.
-
(1986)
Comm. Math. Phys.
, vol.94
, pp. 239-254
-
-
Toland, J.F.1
-
29
-
-
33746153582
-
-
Ph. D. Thesis, Department of Mathematics and Statistics, Boston University, Boston, MA
-
J. D. Wright, Higher order corrections to the KdV approximation for water waves, Ph. D. Thesis, Department of Mathematics and Statistics, Boston University, Boston, MA (2004).
-
(2004)
Higher order corrections to the KdV approximation for water waves
-
-
Wright, J.D.1
|