-
2
-
-
0242323942
-
-
American Mathematical Society, Providence, Rhode Island
-
A. Coely, et al. (Eds.), Backlund and Darboux Transformations, American Mathematical Society, Providence, Rhode Island, 2001.
-
(2001)
Backlund and Darboux Transformations
-
-
Coely, A.1
-
3
-
-
0001475553
-
Relationships among inverse method, backlund transformation and an infinite number of conservation laws
-
M. Wadati, H. Sanuki, and K. Konno Relationships among inverse method, backlund transformation and an infinite number of conservation laws Prog. Theoret. Phys. 53 1975 419 436
-
(1975)
Prog. Theoret. Phys.
, vol.53
, pp. 419-436
-
-
Wadati, M.1
Sanuki, H.2
Konno, K.3
-
5
-
-
35949040541
-
Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
-
R. Hirota Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons Phys. Rev. Lett. 27 1971 1192 1194
-
(1971)
Phys. Rev. Lett.
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
6
-
-
0001229736
-
Solitary wave solutions of nonlinear wave equations
-
W. Malfeit Solitary wave solutions of nonlinear wave equations Am. J. Phys. 60 1992 650 654
-
(1992)
Am. J. Phys.
, vol.60
, pp. 650-654
-
-
Malfeit, W.1
-
7
-
-
0043093642
-
A simple transformation for nonlinear waves
-
C.T. Yan A simple transformation for nonlinear waves Phys. Lett. A 224 1996 77 84
-
(1996)
Phys. Lett. A
, vol.224
, pp. 77-84
-
-
Yan, C.T.1
-
8
-
-
0035343034
-
Auto-Darboux Transformation and exact solutions of the Brusselator reaction diffusion model
-
Z.Y. Yan, and H.Q. Zhang Auto-Darboux Transformation and exact solutions of the Brusselator reaction diffusion model Appl. Math. Mech. 22 2000 541 546
-
(2000)
Appl. Math. Mech.
, vol.22
, pp. 541-546
-
-
Yan, Z.Y.1
Zhang, H.Q.2
-
9
-
-
0001051423
-
Exact solutions for a compound KdV-Burgers equation
-
M.L. Wang Exact solutions for a compound KdV-Burgers equation Phys. Lett. A 213 1996 279 287
-
(1996)
Phys. Lett. A
, vol.213
, pp. 279-287
-
-
Wang, M.L.1
-
10
-
-
4243528488
-
New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
-
Z.Y. Yan, and H.Q. Zhang New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water Phys. Lett. A 285 2001 355 362
-
(2001)
Phys. Lett. A
, vol.285
, pp. 355-362
-
-
Yan, Z.Y.1
Zhang, H.Q.2
-
11
-
-
0035945332
-
New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
-
Z.Y. Yan New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations Phys. Lett. A 292 2001 100 106
-
(2001)
Phys. Lett. A
, vol.292
, pp. 100-106
-
-
Yan, Z.Y.1
-
12
-
-
77956834067
-
A mathematical model illustrating the theory of turbulence
-
J.M. Burger A mathematical model illustrating the theory of turbulence Adv. Appl. Mech. I 1948 171 199
-
(1948)
Adv. Appl. Mech.
, vol.1
, pp. 171-199
-
-
Burger, J.M.1
-
13
-
-
0000332692
-
On a quasilinear parabolic equations occurring in aerodynamics
-
J.D. Cole On a quasilinear parabolic equations occurring in aerodynamics Quart. Appl. Math. 9 1951 225 236
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
14
-
-
0020544741
-
Generating exact solutions of the two-dimensional Burgers' equations
-
J.D. Fletcher Generating exact solutions of the two-dimensional Burgers' equations Int. J. Numer. Meth. Fluids 3 1983 213 216
-
(1983)
Int. J. Numer. Meth. Fluids
, vol.3
, pp. 213-216
-
-
Fletcher, J.D.1
-
15
-
-
0018059510
-
Numerical solution of coupled Burgers Δ equations
-
P.C. Jain, and D.N. Holla Numerical solution of coupled Burgers Δ equations Int. J. Numer. Meth. Eng. 12 1978 213 222
-
(1978)
Int. J. Numer. Meth. Eng.
, vol.12
, pp. 213-222
-
-
Jain, P.C.1
Holla, D.N.2
-
16
-
-
38249014214
-
An explicit-implicit method for a class of time-dependent partial differential equations
-
F.W. Wubs, and E.D. de Goede An explicit-implicit method for a class of time-dependent partial differential equations Appl. Numer. Math. 9 1992 157 181
-
(1992)
Appl. Numer. Math.
, vol.9
, pp. 157-181
-
-
Wubs, F.W.1
De Goede, E.D.2
-
17
-
-
0037431444
-
A fully implicit finite-difference scheme for two-dimensional Burgers' equations
-
A.R. Bahadir A fully implicit finite-difference scheme for two-dimensional Burgers' equations Appl. Math. Comput. 137 2003 131 137
-
(2003)
Appl. Math. Comput.
, vol.137
, pp. 131-137
-
-
Bahadir, A.R.1
-
18
-
-
19144373768
-
New numerical technique for Burger's equation based on similarity reductions
-
Beinjing China October 17-20
-
A.A. Soliman, New numerical technique for Burger's equation based on similarity reductions, International Conference on Computational Fluid Dynamics, Beinjing China October 17-20, 2000, pp. 559-566.
-
(2000)
International Conference on Computational Fluid Dynamics
, pp. 559-566
-
-
Soliman, A.A.1
-
19
-
-
0001239692
-
A comparison of finite element and finite difference solutions of the one- and two-dimensional Burgers' equations
-
C.J. Fletcher A comparison of finite element and finite difference solutions of the one- and two-dimensional Burgers' equations J. Comput. Phys. 51 1983 159
-
(1983)
J. Comput. Phys.
, vol.51
, pp. 159
-
-
Fletcher, C.J.1
-
20
-
-
11044220412
-
Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
-
S.F. Radwan Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation J. Comput. Appl. Math. 174/2 2004 383 397
-
(2004)
J. Comput. Appl. Math.
, vol.174
, Issue.2
, pp. 383-397
-
-
Radwan, S.F.1
-
21
-
-
0002099155
-
Coupled Burgers' equations: A model of polydispersive sedimentation
-
S.E. Esipov Coupled Burgers' equations: a model of polydispersive sedimentation Phys. Rev. E 52 1995 3711 3718
-
(1995)
Phys. Rev. e
, vol.52
, pp. 3711-3718
-
-
Esipov, S.E.1
-
22
-
-
0041858039
-
Limit set of trajectories of the coupled viscous Burgers' equations
-
J. Nee, and J. Duan Limit set of trajectories of the coupled viscous Burgers' equations Appl. Math. Lett. 11 1 1998 57 61
-
(1998)
Appl. Math. Lett.
, vol.11
, Issue.1
, pp. 57-61
-
-
Nee, J.1
Duan, J.2
-
23
-
-
19144365030
-
Variational iteration method for solving Burger's and coupled Burger's equations
-
M.A. Abdou, A.A. Soliman, Variational iteration method for solving Burger's and coupled Burger's equations, J. Comput. Appl. Math. 181 (2) (2005) 245-251.
-
(2005)
J. Comput. Appl. Math.
, vol.181
, Issue.2
, pp. 245-251
-
-
Abdou, M.A.1
Soliman, A.A.2
-
24
-
-
0035831998
-
Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
-
E. Fan Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation Phys. Lett. A 282 2001 18 22
-
(2001)
Phys. Lett. A
, vol.282
, pp. 18-22
-
-
Fan, E.1
-
25
-
-
0345985752
-
A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
-
Y.T. Wu, X.G. Geng, X.B. Hu, and S.M. Zhu A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations Phys. Lett. A 255 1999 259 264
-
(1999)
Phys. Lett. A
, vol.255
, pp. 259-264
-
-
Wu, Y.T.1
Geng, X.G.2
Hu, X.B.3
Zhu, S.M.4
-
26
-
-
18944408338
-
Soliton solutions of a coupled Korteweg-de Vries equation
-
R. Hirota, and J. Satsuma Soliton solutions of a coupled Korteweg-de Vries equation Phys. Lett. A 85 1981 407 408
-
(1981)
Phys. Lett. A
, vol.85
, pp. 407-408
-
-
Hirota, R.1
Satsuma, J.2
-
27
-
-
0039359643
-
A coupled KdV equation is one case of the four-reduction of the KP hierarchy
-
J. Satsuma, and R. Hirota A coupled KdV equation is one case of the four-reduction of the KP hierarchy J. Phys. Soc. Jpn. 51 1982 3390 3397
-
(1982)
J. Phys. Soc. Jpn.
, vol.51
, pp. 3390-3397
-
-
Satsuma, J.1
Hirota, R.2
-
28
-
-
4344673183
-
A note on the homogeneous balance method
-
E.G. Fan, and H.Q. Zhang A note on the homogeneous balance method Phys. Lett. A 246 1998 403 406
-
(1998)
Phys. Lett. A
, vol.246
, pp. 403-406
-
-
Fan, E.G.1
Zhang, H.Q.2
-
29
-
-
10044224813
-
Modified extended tanh-function method and its applications to nonlinear equations
-
S.A. El-Wakil, S.K. El-Labany, M.A. Zahran, and R. Sabry Modified extended tanh-function method and its applications to nonlinear equations Appl. Math. Comput. 161 2005 403 412
-
(2005)
Appl. Math. Comput.
, vol.161
, pp. 403-412
-
-
El-Wakil, S.A.1
El-Labany, S.K.2
Zahran, M.A.3
Sabry, R.4
-
30
-
-
0036645735
-
Modified extended tanh-function method for solving nonlinear partial differential equations
-
S.A. El-Wakil, S.K. El-Labany, M.A. Zahran, and R. Sabry Modified extended tanh-function method for solving nonlinear partial differential equations Phys. Lett. A 299 2002 179 188
-
(2002)
Phys. Lett. A
, vol.299
, pp. 179-188
-
-
El-Wakil, S.A.1
El-Labany, S.K.2
Zahran, M.A.3
Sabry, R.4
-
31
-
-
0030284901
-
An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations
-
E.J. Parker, and B.R. Duffy An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations Comput. Phys. Commun. 98 1996 288 300
-
(1996)
Comput. Phys. Commun.
, vol.98
, pp. 288-300
-
-
Parker, E.J.1
Duffy, B.R.2
-
32
-
-
1842426172
-
An application of the decomposition method for the KdVB equation
-
D. Kaya An application of the decomposition method for the KdVB equation Appl. Math. Comput. 152 2004 279 288
-
(2004)
Appl. Math. Comput.
, vol.152
, pp. 279-288
-
-
Kaya, D.1
-
33
-
-
0038351643
-
An explicit solution of coupled viscous burgers' equation by the decomposition method
-
D. Kaya An explicit solution of coupled viscous burgers' equation by the decomposition method Int. J. Math. Math. Sci. 27 2001 675 680
-
(2001)
Int. J. Math. Math. Sci.
, vol.27
, pp. 675-680
-
-
Kaya, D.1
-
34
-
-
4544372221
-
On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method
-
S.M. EL-Sayed, and D. Kaya On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method Appl. Math. Comput. 158 2004 101 109
-
(2004)
Appl. Math. Comput.
, vol.158
, pp. 101-109
-
-
El-Sayed, S.M.1
Kaya, D.2
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