-
1
-
-
0003607253
-
Solitons, non-linear equations and inverse scattering
-
Cambridge University Press, Cambridge
-
M.J. Ablowitz and P.A. Clarkson, Solitons, Non-linear Equations and Inverse Scattering, London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge (1991).
-
(1991)
London Mathematical Society Lecture Note Series
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
2
-
-
0003339099
-
Symmetries and differential equations
-
Springer, New York
-
G.W. Bluman and S. Kumei, Symmetries and Differential Equations, Appl. Math. Sci., Vol. 81, Springer, New York (1989).
-
(1989)
Appl. Math. Sci.
, vol.81
-
-
Bluman, G.W.1
Kumei, S.2
-
3
-
-
0039634681
-
Conservative, high-order numerical schemes for the generalized, Korteweg-de Vries equation
-
J.L. Bona, V.A. Dougalis, O.A. Karakashian and W.R. McKinney, "Conservative, high-order numerical schemes for the generalized, Korteweg-de Vries equation", Appl. Math. Rep. Ser. 109 (1992).
-
(1992)
Appl. Math. Rep. Ser.
, vol.109
-
-
Bona, J.L.1
Dougalis, V.A.2
Karakashian, O.A.3
McKinney, W.R.4
-
4
-
-
84974185524
-
Traveling wave solutions to the Korteweg-de Vries-Burgers equation
-
J.L. Bona and M.E. Schonbek, Traveling wave solutions to the Korteweg-de Vries-Burgers Equation", Proc. Roy. Soc. Edinburgh, Sect. A 101, 207-226 (1985).
-
(1985)
Proc. Roy. Soc. Edinburgh, Sect. A
, vol.101
, pp. 207-226
-
-
Bona, J.L.1
Schonbek, M.E.2
-
5
-
-
0026626830
-
Analytic solutions of the Nagumo equation
-
Z. Chen and B. Guo, "Analytic solutions of the Nagumo equation", IMA J. Appl. Math. 48, 107-115 (1992).
-
(1992)
IMA J. Appl. Math.
, vol.48
, pp. 107-115
-
-
Chen, Z.1
Guo, B.2
-
6
-
-
0011886201
-
Bäcklund transformation, truncated Painlevé expansions, and special solutions of nonintegrable long-wave evolution equations
-
S.R. Choudhury, "Bäcklund transformation, truncated Painlevé expansions, and special solutions of nonintegrable long-wave evolution equations", Can. J. Phys. 70, 595-602 (1992).
-
(1992)
Can. J. Phys.
, vol.70
, pp. 595-602
-
-
Choudhury, S.R.1
-
7
-
-
0007951045
-
A qualitative analysis of traveling wave solutions to mixed Burgers-KdV equation (Chinese)
-
K. Guan and G. Gao, "A qualitative analysis of traveling wave solutions to mixed Burgers-KdV equation (Chinese)", Science in China A (Chinese edition) 7, 64-73 (1987).
-
(1987)
Science in China A (Chinese Edition)
, vol.7
, pp. 64-73
-
-
Guan, K.1
Gao, G.2
-
8
-
-
38249011489
-
The use of Borel-summation in the establishment of non-existence of certain traveling-wave solutions of the Kuramoto-Sivashinsky equation
-
R. Grimshaw, "The use of Borel-Summation in the establishment of non-existence of certain traveling-wave solutions of the Kuramoto-Sivashinsky equation", Wave Motion 15, 393-395 (1992).
-
(1992)
Wave Motion
, vol.15
, pp. 393-395
-
-
Grimshaw, R.1
-
9
-
-
0025516670
-
Traveling wave solutions of nonlinear partial differential equations
-
R.M. Gundersen, "Traveling wave solutions of nonlinear partial differential equations", J. Engrg. Math. 24, 323-341 (1990).
-
(1990)
J. Engrg. Math.
, vol.24
, pp. 323-341
-
-
Gundersen, R.M.1
-
10
-
-
0040821261
-
Symbolic software for non-linear partial differential equations: Symmetries, integrability and exact solutions
-
Fort Collins, (Amer. Math. Soc., Providence, RI), to appear
-
W. Hereman, "Symbolic software for non-linear partial differential equations: symmetries, integrability and exact solutions", in: Exploiting Symmetry in Applied and Numerical Analysis, Proc. 22nd AMS-SIAM Summer Seminar (Fort Collins, 1992) (Amer. Math. Soc., Providence, RI), to appear.
-
(1992)
Exploiting Symmetry in Applied and Numerical Analysis, Proc. 22nd AMS-SIAM Summer Seminar
-
-
Hereman, W.1
-
11
-
-
0001066407
-
Solitary wave solutions of non-linear evolution and wave equations using a direct method and MACSYMA
-
W. Hereman and M. Takaoka, "Solitary wave solutions of non-linear evolution and wave equations using a direct method and MACSYMA", J. Phys. A 23, 4805-4822 (1990)
-
(1990)
J. Phys. A
, vol.23
, pp. 4805-4822
-
-
Hereman, W.1
Takaoka, M.2
-
12
-
-
0039042658
-
Observations of ion-acoustic cylindrical solitons
-
N. Hershkowi and T. Romesser, "Observations of ion-acoustic cylindrical solitons", Phys. Rev. Lett. 32, 581-583 (1974).
-
(1974)
Phys. Rev. Lett.
, vol.32
, pp. 581-583
-
-
Hershkowi, N.1
Romesser, T.2
-
14
-
-
0001307413
-
Exact solutions to the KdV-Burgers' equation
-
A. Jeffrey and M.N.B. Mohamad, "Exact solutions to the KdV-Burgers' equation", Wave Motion 14, 369-375 (1990).
-
(1990)
Wave Motion
, vol.14
, pp. 369-375
-
-
Jeffrey, A.1
Mohamad, M.N.B.2
-
15
-
-
0001073369
-
Exact solutions to the Korteweg-de Vries-Burgers equation
-
A. Jeffrey and S. Xu, "Exact solutions to the Korteweg-de Vries-Burgers equation", Wave Motion 11, 559-564 (1989).
-
(1989)
Wave Motion
, vol.11
, pp. 559-564
-
-
Jeffrey, A.1
Xu, S.2
-
18
-
-
77952762814
-
Oscillatory solitary waves in dispersive media
-
T. Kawahara, "Oscillatory solitary waves in dispersive media", J. Phys. Soc. Japan 33, 260-264 (1972).
-
(1972)
J. Phys. Soc. Japan
, vol.33
, pp. 260-264
-
-
Kawahara, T.1
-
19
-
-
0000106540
-
Existence and non-existence of solitary wave solutions to higher order model evolution equations
-
S. Kichenassamy and P.J. Olver, "Existence and non-existence of solitary wave solutions to higher order model evolution equations", SIAM J. Math. Anal. 23, 1141-1166 (1992).
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 1141-1166
-
-
Kichenassamy, S.1
Olver, P.J.2
-
20
-
-
0011827517
-
An exact solution of the classical Boussinesq equation
-
E.V. Krishnan, "An exact solution of the classical Boussinesq equation", J. Phys. Soc. Japan 51, 2391-2392 (1981).
-
(1981)
J. Phys. Soc. Japan
, vol.51
, pp. 2391-2392
-
-
Krishnan, E.V.1
-
21
-
-
0009300386
-
Solitons and the formation of structures in dissipative, dispersive media with instability
-
N.A. Kudryashov, "Solitons and the formation of structures in dissipative, dispersive media with instability", Sov. Phys. Dokl. 34, 798-800 (1989).
-
(1989)
Sov. Phys. Dokl.
, vol.34
, pp. 798-800
-
-
Kudryashov, N.A.1
-
22
-
-
0021650636
-
The evolution of the Korteweg-De Vries-Burgers shock structure
-
(Beijing) VNU Science Press BV, Utrecht, Netherlands
-
Y. Lin, "The evolution of the Korteweg-De Vries-Burgers shock structure", in: Proc. 2nd Asian Cong. Fluid Mechanics, (Beijing) (VNU Science Press BV, Utrecht, Netherlands, 1983) 342-347.
-
(1983)
Proc. 2nd Asian Cong. Fluid Mechanics
, pp. 342-347
-
-
Lin, Y.1
-
23
-
-
0004229131
-
KdV-Burgers equation modeling of turbulence
-
S. Liu and S. Liu, "KdV-Burgers equation modeling of turbulence", Sci. China Ser. A 35, 576-586 (1992).
-
(1992)
Sci. China Ser. A
, vol.35
, pp. 576-586
-
-
Liu, S.1
Liu, S.2
-
24
-
-
0016093836
-
Cylindrical solitons
-
S. Maxon and J. Viecelli, "Cylindrical solitons", Phys. Fluids 17, 1614-1616 (1974).
-
(1974)
Phys. Fluids
, vol.17
, pp. 1614-1616
-
-
Maxon, S.1
Viecelli, J.2
-
25
-
-
0000588008
-
Soliton solutions of the cylindrical KdV equation
-
A. Nakamura and H.-H. Chen, "Soliton solutions of the cylindrical KdV equation", J. Phys. Soc. Japan 50, 711-718 (1981)
-
(1981)
J. Phys. Soc. Japan
, vol.50
, pp. 711-718
-
-
Nakamura, A.1
Chen, H.-H.2
-
27
-
-
0039634679
-
Integrability in mathematics and theoretical physics: Solitons
-
S.P. Novikov, "Integrability in mathematics and theoretical physics: Solitons", Math. Intelligencer 14, 13-21 (1992).
-
(1992)
Math. Intelligencer
, vol.14
, pp. 13-21
-
-
Novikov, S.P.1
-
28
-
-
0003345224
-
Applications of Lie Group to differential equations
-
Springer, New York
-
P. Olver, Applications of Lie Group to Differential Equations, Graduate Texts in Mathematics, Vol. 107, Springer, New York (1986).
-
(1986)
Graduate Texts in Mathematics
, vol.107
-
-
Olver, P.1
-
29
-
-
0001395372
-
A method for finding N-soliton solution of the KdV equation and KdV-like equation
-
K. Sawada and T. Kotera, "A method for finding N-soliton solution of the KdV equation and KdV-like equation", Prog. Theor. Phys. 51, 1355-1367 (1974).
-
(1974)
Prog. Theor. Phys.
, vol.51
, pp. 1355-1367
-
-
Sawada, K.1
Kotera, T.2
-
30
-
-
0039634678
-
Who cares about integrability
-
H. Segur, "Who cares about integrability", Phys. D 51, 343-359 (1991).
-
(1991)
Phys. D
, vol.51
, pp. 343-359
-
-
Segur, H.1
-
32
-
-
0023222459
-
Solitary waves on non-linear elastic rods. II
-
M.P. Soerensen, P.L. Christiansen, P.S. Lomdahl and O. Skovgaard, "Solitary waves on non-linear elastic rods. II", J. Acoust. Soc. Amer. 81, 1718-1722 (1987).
-
(1987)
J. Acoust. Soc. Amer.
, vol.81
, pp. 1718-1722
-
-
Soerensen, M.P.1
Christiansen, P.L.2
Lomdahl, P.S.3
Skovgaard, O.4
-
33
-
-
0007911683
-
The Korteweg-de Vries-Burgers equation: A reconstruction of exact solution
-
M. Vlieg-Hulstman and W.D. Halford, "The Korteweg-de Vries-Burgers equation: A reconstruction of exact solution", Wave Motion 14, 267-271 (1991).
-
(1991)
Wave Motion
, vol.14
, pp. 267-271
-
-
Vlieg-Hulstman, M.1
Halford, W.D.2
-
35
-
-
0024704785
-
An analytic solution of Burgers-KdV equation
-
S. Xiong, "An analytic solution of Burgers-KdV equation", Chinese Sci. Bull. 34, 1158-1162 (1989).
-
(1989)
Chinese Sci. Bull.
, vol.34
, pp. 1158-1162
-
-
Xiong, S.1
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