-
1
-
-
0001524186
-
On the change form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
-
D. J. Korteweg and G. de Vries, "On the change form of long waves advancing in a rectangular canal, and on a new type of long stationary waves," Philosophical Magazine Series, vol. 5, no. 62, pp. 422"443, 1895.
-
(1895)
Philosophical Magazine Series
, vol.5
, Issue.62
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
2
-
-
0024879690
-
Nonlinear wave propagation in micropolar mediaI: The general theory
-
S. Erbay and E. S. Şuhubi, "Nonlinear wave propagation in micropolar media"I: the general theory," International Journal of Engineering Science, vol. 27, no. 8, pp. 895"914, 1989.
-
(1989)
International Journal of Engineering Science
, vol.27
, Issue.8
, pp. 895-914
-
-
Erbay, S.1
Uhubi, E.S.2
-
3
-
-
36749106124
-
A connection between nonlinear evolution equations and ordinary differential equations of P-type-I
-
M. J. Ablowitz, A. Ramani, and H. Segur, "A connection between nonlinear evolution equations and ordinary differential equations of P-type"I," Journal of Mathematical Physics, vol. 21, no. 4, pp. 715"721, 1980.
-
(1980)
Journal of Mathematical Physics
, vol.21
, Issue.4
, pp. 715-721
-
-
Ablowitz, M.J.1
Ramani, A.2
Segur, H.3
-
4
-
-
67651202925
-
-
Ph.D. thesis, Istanbul Technical University, Istanbul, Turkey
-
A. A. Mohammad, Classical lie symmetries and similarity reductions of the CMKdV-II equation, Ph.D. thesis, Istanbul Technical University, Istanbul, Turkey, 1996.
-
(1996)
Classical Lie Symmetries and Similarity Reductions of the CMKdV-II Equation
-
-
Mohammad, A.A.1
-
5
-
-
0345756505
-
Singularity analysis and its relation to complete, partial and non integrability
-
in Physics, R. Conte and N. Boccara, Eds. DKluwer Academic Publishers, Dordrecht, The Netherlands
-
M. D. Kruskal, A. Ramani, and B. Grammatikos, "Singularity analysis and its relation to complete, partial and non integrability," in Physics, R. Conte and N. Boccara, Eds., pp. 321"372, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990.
-
(1990)
Physics
, pp. 321-372
-
-
Kruskal, M.D.1
Ramani, A.2
Grammatikos, B.3
-
6
-
-
34250461398
-
KdV equation: A completely integrable Hamiltonian system
-
V. E. Zakharov and L. D. Faddeev, "KdV equation: a completely integrable Hamiltonian system," Functional Analysis and Its Applications, vol. 5, no. 4, pp. 280"287, 1971.
-
(1971)
Functional Analysis and Its Applications
, vol.5
, Issue.4
, pp. 280-287
-
-
Zakharov, V.E.1
Faddeev, L.D.2
-
7
-
-
0022013658
-
The Painlevé property and Hirota's method
-
J. D. Gibbon, P. Radmore, M. Tabor, and D. Wood, "The Painlevé property and Hirota"s method," Studies in Applied Mathematics, vol. 72, no. 1, pp. 39"63, 1985.
-
(1985)
Studies in Applied Mathematics
, vol.72
, Issue.1
, pp. 39-63
-
-
Gibbon, J.D.1
Radmore, P.2
Tabor, M.3
Wood, D.4
-
8
-
-
36749112076
-
The Painlevé property for partial differential equations
-
J.Weiss,M. Tabor, and G. Carnevale, "The Painlevé property for partial differential equations," Journal of Mathematical Physics, vol. 24, no. 3, pp. 522"526, 1983.
-
(1983)
Journal of Mathematical Physics
, vol.24
, Issue.3
, pp. 522-526
-
-
Weiss, J.1
Tabor, M.2
Carnevale, G.3
-
9
-
-
33846361348
-
Interaction of solitons in a collisionless plasma and the recurrence of initial states
-
N. J. Zabusky and M. D. Kruskal, "Interaction of solitons in a collisionless plasma and the recurrence of initial states," Physical Review Letters, vol. 15, no. 6, pp. 240"243, 1965.
-
(1965)
Physical Review Letters
, vol.15
, Issue.6
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
10
-
-
0004265313
-
-
Wiley-Interscience, New York, NY, USA
-
A. H. Nayfeh, Introduction to Perturbation Techniques, Wiley-Interscience, New York, NY, USA, 1981.
-
(1981)
Introduction to Perturbation Techniques
-
-
Nayfeh, A.H.1
-
11
-
-
0002464716
-
Direct methods in soliton theory
-
in R. K. Bullough, P. J. Caudrey, et al., Eds., Springer, Berlin, Germany
-
R. Hirota, "Direct methods in soliton theory," in Solitons, R. K. Bullough, P. J. Caudrey, et al., Eds., pp. 157"176, Springer, Berlin, Germany, 1980.
-
(1980)
Solitons
, pp. 157-176
-
-
Hirota, R.1
Bullough, R.K.2
Caudrey, P.J.3
-
12
-
-
0032489749
-
A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
-
B.-F. Feng and T. Mitsui, "A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations," Journal of Computational and Applied Mathematics, vol. 90, no. 1, pp. 95"116, 1998
-
(1998)
Journal of Computational and Applied Mathematics
, vol.90
, Issue.1
, pp. 95-116
-
-
Feng, B.-F.1
Mitsui, T.2
-
13
-
-
0037284595
-
A split-step fourier method for the complex modified korteweg-de vries equation
-
G. M. Muslu and H. A. Erbay, "A split-step Fourier method for the complex modi?ed Korteweg-de Vries equation," Computers & Mathematics with Applications, vol. 45, no. 1"3, pp. 503"514, 2003.
-
(2003)
Computers and Mathematics with Applications
, vol.45
, Issue.1-3
, pp. 503-514
-
-
Muslu, G.M.1
Erbay, H.A.2
-
14
-
-
18144399959
-
Local spectral time splitting method for first- and second-order partial differential equations
-
S. Yu, S. Zhao, and G.W.Wei, "Local spectral time splitting method for first- and second-order partial differential equations," Journal of Computational Physics, vol. 206, no. 2, pp. 727"780, 2005.
-
(2005)
Journal of Computational Physics
, vol.206
, Issue.2
, pp. 727-780
-
-
Yu, S.1
Zhao, S.2
Wei, G.W.3
-
15
-
-
10644227675
-
Higher-order split-step Fourier schemes for the generalized nonlinear Schröedinger equation
-
G.M.Muslu and H. A. Erbay, "Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation," Mathematics and Computers in Simulation, vol. 67, no. 6, pp. 581"595, 2005.
-
(2005)
Mathematics and Computers in Simulation
, vol.67
, Issue.6
, pp. 581-595
-
-
Muslu, G.M.1
Erbay, H.A.2
-
16
-
-
17444407059
-
Parallel split-step Fourier methods for the coupled non-linear Schröedinger type equations
-
T. R. Taha and X.M. Xu, "Parallel split-step Fourier methods for the coupled non-linear Schröedinger type equations," The Journal of Supercomputing, vol. 32, no. 1, pp. 5"23, 2005.
-
(2005)
The Journal of Supercomputing
, vol.32
, Issue.1
, pp. 5-23
-
-
Taha, T.R.1
Xu, X.M.2
|