-
1
-
-
85163152910
-
On the interactions of permanent waves of finite amplitude
-
Benney, D. J. and Luke, J. C., " On the interactions of permanent waves of finite amplitude., " J. Math. Phys. 43, 309-313 (1964).
-
(1964)
J. Math. Phys.
, vol.43
, pp. 309-313
-
-
Benney, D.J.1
Luke, J.C.2
-
2
-
-
0001681902
-
Th́orie de l'intumescence liquide appeĺe onde solitaire ou de translation, se propageant dans un canal rectangulaire
-
Boussinesq, J. V., " Th́orie de l'intumescence liquide appeĺe onde solitaire ou de translation, se propageant dans un canal rectangulaire., " Acad. Sci., Paris, C. R. 72, 755-759 (1871).
-
(1871)
Acad. Sci., Paris, C. R.
, vol.72
, pp. 755-759
-
-
Boussinesq, J.V.1
-
3
-
-
0001864672
-
Th́orie des ondes et des remous qui se propaǵs dans un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond
-
Boussinesq, J. V., " Th́orie des ondes et des remous qui se propaǵs dans un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond., " J. Math. Pures Appl. 17, 55-108 (1872).
-
(1872)
J. Math. Pures Appl.
, vol.17
, pp. 55-108
-
-
Boussinesq, J.V.1
-
4
-
-
0000982065
-
Th́orie ǵńrale des mouvements qui sont propaǵs dans un canal rectangulaire horizontal
-
Boussinesq, J. V., " Th́orie ǵńrale des mouvements qui sont propaǵs dans un canal rectangulaire horizontal., " C. R. Hebd. Seances Acad. Sci. 73, 256-260 (1871).
-
(1871)
C. R. Hebd. Seances Acad. Sci.
, vol.73
, pp. 256-260
-
-
Boussinesq, J.V.1
-
5
-
-
0035384896
-
An energy-consistent dispersive shallow-water-water model
-
Christov, C. I., " An energy-consistent dispersive shallow-water-water model., " Wave Motion 34, 161-174 (2001).
-
(2001)
Wave Motion
, vol.34
, pp. 161-174
-
-
Christov, C.I.1
-
7
-
-
84972562218
-
A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
-
Kano, T. and Nishida, T., " A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves., " Osaka J. Math. 23, 389-413 (1986).
-
(1986)
Osaka J. Math.
, vol.23
, pp. 389-413
-
-
Kano, T.1
Nishida, T.2
-
8
-
-
0000784556
-
Some additional remarks on the nonexistence of global solutions to nonlinear wave equation
-
Leviene, H. A., " Some additional remarks on the nonexistence of global solutions to nonlinear wave equation., " SIAM J. Math. Anal. 5, 138-146 (1974).
-
(1974)
SIAM J. Math. Anal.
, vol.5
, pp. 138-146
-
-
Leviene, H.A.1
-
9
-
-
0012113620
-
Existence and blowup of solutions of a nonlinear Pchhammer-Chree equation
-
Liu, Y., " Existence and blowup of solutions of a nonlinear Pchhammer-Chree equation., " Indiana Univ. Math. J. 45, 797-816 (1996).
-
(1996)
Indiana Univ. Math. J.
, vol.45
, pp. 797-816
-
-
Liu, Y.1
-
10
-
-
0347489221
-
Instability and blow-up of solutions to a generalized Boussinesq equation
-
Liu, Y., " Instability and blow-up of solutions to a generalized Boussinesq equation., " SIAM J. Math. Anal. 26, 1527-1546 (1995).
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 1527-1546
-
-
Liu, Y.1
-
11
-
-
0040764329
-
-
4th ed. (Cambridge University Press, Cambridge
-
Love, A. E. H., Mathematical theorey of elasticity, 4th ed. (Cambridge University Press, Cambridge, 1927), p. 428.
-
(1927)
Mathematical Theorey of Elasticity
, pp. 428
-
-
Love, A.E.H.1
-
12
-
-
0038523543
-
Analyticity and decay properties of the solitary waves to the Benney-Luke equation
-
Mari, M., " Analyticity and decay properties of the solitary waves to the Benney-Luke equation., " Diff. Integral Eq. 14, 361-384 (2001).
-
(2001)
Diff. Integral Eq.
, vol.14
, pp. 361-384
-
-
Mari, M.1
-
13
-
-
0043287630
-
Three dimensional water waves
-
Milewski, P. A. and Keller, J. B., " Three dimensional water waves., " Stud. Appl. Math. 37, 149-166 (1996).
-
(1996)
Stud. Appl. Math.
, vol.37
, pp. 149-166
-
-
Milewski, P.A.1
Keller, J.B.2
-
14
-
-
3142692578
-
A rigorous link between KP and a Benney-Luke equation
-
Paumond, L., " A rigorous link between KP and a Benney-Luke equation., " Diff. Integral Eq. 16, 1039-1064 (2003).
-
(2003)
Diff. Integral Eq.
, vol.16
, pp. 1039-1064
-
-
Paumond, L.1
-
15
-
-
0041693859
-
A host of traveling waves in a model of three-dimensional water-wave dynamics
-
Pego, R. L. and Quintero, J. R., " A host of traveling waves in a model of three-dimensional water-wave dynamics., " J. Nonlinear Sci. 12, 59-83 (2002).
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 59-83
-
-
Pego, R.L.1
Quintero, J.R.2
-
16
-
-
0001108712
-
Two dimensional solitary waves for a Benney-Luke equation
-
Pego, R. L. and Quintero, J. R., " Two dimensional solitary waves for a Benney-Luke equation., " Physica D 132, 476-496 (1999).
-
(1999)
Physica D
, vol.132
, pp. 476-496
-
-
Pego, R.L.1
Quintero, J.R.2
-
17
-
-
34547564585
-
Existence and analyticity of lump solution for generalized Benney-Luke equations
-
Quintero, J. R., " Existence and analyticity of lump solution for generalized Benney-Luke equations., " Revista Colombiana de Matemáticas 36, 71-95 (2002).
-
(2002)
Revista Colombiana de Matemáticas
, vol.36
, pp. 71-95
-
-
Quintero, J.R.1
-
18
-
-
18144420789
-
Nonlinear Stability for a 2-D Benney-Luke equation
-
Quintero, J. R., " Nonlinear Stability for a 2-D Benney-Luke equation., " Discrete Contin. Dyn. Syst. 13, 203-218 (2005).
-
(2005)
Discrete Contin. Dyn. Syst.
, vol.13
, pp. 203-218
-
-
Quintero, J.R.1
-
19
-
-
18144431540
-
Nonlinear stability of a one-dimensional Boussinesq equation
-
Quintero, J. R., " Nonlinear stability of a one-dimensional Boussinesq equation., " J. Dyn. Differ. Equ. 15, 125-142 (2003).
-
(2003)
J. Dyn. Differ. Equ.
, vol.15
, pp. 125-142
-
-
Quintero, J.R.1
-
20
-
-
0342671766
-
-
edited by Jeffrey,A. and Engelbrecht,J. (Springer, New York
-
Samonov, A. M., in Nonlinear Waves in Solids, edited by, Jeffrey, A., and, Engelbrecht, J., (Springer, New York, 1994).
-
(1994)
Nonlinear Waves in Solids
-
-
Samonov, A.M.1
-
21
-
-
0021496906
-
Solitary waves on nonlinear elastic rods i
-
Soerensen, M. P., Christiansen, P. L., and Lohmdahl, P. S., " Solitary waves on nonlinear elastic rods I., " J. Acoust. Soc. Am. 76, 871-879 (1984).
-
(1984)
J. Acoust. Soc. Am.
, vol.76
, pp. 871-879
-
-
Soerensen, M.P.1
Christiansen, P.L.2
Lohmdahl, P.S.3
-
22
-
-
0035486554
-
Multilinear weighted convolution of L2 functions and application to nonlinear dispersive equations
-
Tao, T., " Multilinear weighted convolution of L2 functions and application to nonlinear dispersive equations., " Am. J. Math. 122, 839-908 (2001).
-
(2001)
Am. J. Math.
, vol.122
, pp. 839-908
-
-
Tao, T.1
-
24
-
-
77955874103
-
Wave propagation in anharmonic lattices
-
Toda, M., " Wave propagation in anharmonic lattices., " J. Phys. Soc. Jpn. 23, 501-506 (1967).
-
(1967)
J. Phys. Soc. Jpn.
, vol.23
, pp. 501-506
-
-
Toda, M.1
-
25
-
-
14644430894
-
A soliton and two solitton solutions in an exponential lattice and related equations
-
Toda, M. and Wadati, M., " A soliton and two solitton solutions in an exponential lattice and related equations., " J. Phys. Soc. Jpn. 34, 18-25 (1973).
-
(1973)
J. Phys. Soc. Jpn.
, vol.34
, pp. 18-25
-
-
Toda, M.1
Wadati, M.2
-
26
-
-
28244440562
-
Cauchy problem of the generalized double dispersion equation
-
Wang, S. and Chen, G., " Cauchy problem of the generalized double dispersion equation., " Nonlinear Anal. Theory, Methods Appl. 64, 159-173 (2006).
-
(2006)
Nonlinear Anal. Theory, Methods Appl.
, vol.64
, pp. 159-173
-
-
Wang, S.1
Chen, G.2
-
27
-
-
0037110180
-
Small amplitude solutions of the generalized IMBq equation
-
Wang, S. and Chen, G., " Small amplitude solutions of the generalized IMBq equation., " J. Math. Anal. Appl. 274, 846-866 (2002).
-
(2002)
J. Math. Anal. Appl.
, vol.274
, pp. 846-866
-
-
Wang, S.1
Chen, G.2
-
28
-
-
0036470436
-
The Cauchy problem for the generalized IMBq equation in Ws,p (Rn)
-
Wang, S. and Chen, G., " The Cauchy problem for the generalized IMBq equation in Ws,p (Rn)., " J. Math. Anal. Appl. 266, 38-54 (2002).
-
(2002)
J. Math. Anal. Appl.
, vol.266
, pp. 38-54
-
-
Wang, S.1
Chen, G.2
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