-
1
-
-
0242302713
-
A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations
-
Darwish A., and Fan E.G. A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations. Chaos, Soliton & Fractals 20 (2004) 609-617
-
(2004)
Chaos, Soliton & Fractals
, vol.20
, pp. 609-617
-
-
Darwish, A.1
Fan, E.G.2
-
2
-
-
1542298970
-
The periodic solutions for a class of coupled nonlinear Klein-Gordon equations
-
Liu S., Fu Z., Liu S., and Wang Z. The periodic solutions for a class of coupled nonlinear Klein-Gordon equations. Phys Lett A 323 (2004) 415-420
-
(2004)
Phys Lett A
, vol.323
, pp. 415-420
-
-
Liu, S.1
Fu, Z.2
Liu, S.3
Wang, Z.4
-
3
-
-
0038504516
-
Periodic solitary waves for two coupled nonlinear Klein-Gordon and Schrödinger equations
-
Hioe F.T. Periodic solitary waves for two coupled nonlinear Klein-Gordon and Schrödinger equations. J Phys A: Math Gen 36 (2003) 7307-7330
-
(2003)
J Phys A: Math Gen
, vol.36
, pp. 7307-7330
-
-
Hioe, F.T.1
-
4
-
-
85196144360
-
-
Bao W, Yang L. Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. http://web.cz3.nus.edu.sg/~bao/PS/KGS.pdf.
-
-
-
-
8
-
-
0002132894
-
An Analytical Solution of the Stochastic Navier-Stokes System
-
Adomian G. An Analytical Solution of the Stochastic Navier-Stokes System. Found Phys 21 7 (1991) 831-843
-
(1991)
Found Phys
, vol.21
, Issue.7
, pp. 831-843
-
-
Adomian, G.1
-
9
-
-
17444425874
-
Linear and Nonlinear Schrödinger Equations
-
Adomian G., and Rach R. Linear and Nonlinear Schrödinger Equations. Found Phys 21 (1991) 983-991
-
(1991)
Found Phys
, vol.21
, pp. 983-991
-
-
Adomian, G.1
Rach, R.2
-
10
-
-
0000244996
-
Solution of physical problems by decomposition
-
Adomian G. Solution of physical problems by decomposition. Comput Math Appl 27 9/10 (1994) 145-154
-
(1994)
Comput Math Appl
, vol.27
, Issue.9-10
, pp. 145-154
-
-
Adomian, G.1
-
11
-
-
0001422946
-
Solutions of Nonlinear P.D.E
-
Adomian G. Solutions of Nonlinear P.D.E. Appl Math Lett 11 3 (1998) 121-123
-
(1998)
Appl Math Lett
, vol.11
, Issue.3
, pp. 121-123
-
-
Adomian, G.1
-
12
-
-
0000013352
-
The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
-
Wazwaz A.M. The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model. Appl Math Comput 110 2-3 (2000) 251-264
-
(2000)
Appl Math Comput
, vol.110
, Issue.2-3
, pp. 251-264
-
-
Wazwaz, A.M.1
-
13
-
-
0034276401
-
Approximate solutions to boundary value problems of higher order by the modified decomposition method
-
Wazwaz A.M. Approximate solutions to boundary value problems of higher order by the modified decomposition method. Comput Math Appl 40 6-7 (2000) 679-691
-
(2000)
Comput Math Appl
, vol.40
, Issue.6-7
, pp. 679-691
-
-
Wazwaz, A.M.1
-
14
-
-
0035281491
-
The modified decomposition method applied to unsteady flow of gas through a porous medium
-
Wazwaz A.M. The modified decomposition method applied to unsteady flow of gas through a porous medium. Appl Math Comput 118 2-3 (2001) 123-132
-
(2001)
Appl Math Comput
, vol.118
, Issue.2-3
, pp. 123-132
-
-
Wazwaz, A.M.1
-
15
-
-
0035372279
-
Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
-
Wazwaz A.M. Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Chaos, Solitons & Fractals 12 8 (2001) 1549-1556
-
(2001)
Chaos, Solitons & Fractals
, vol.12
, Issue.8
, pp. 1549-1556
-
-
Wazwaz, A.M.1
-
16
-
-
0035452509
-
Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
-
Wazwaz A.M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos, Solitons, & Fractals 12 12 (2001) 2283-2293
-
(2001)
Chaos, Solitons, & Fractals
, vol.12
, Issue.12
, pp. 2283-2293
-
-
Wazwaz, A.M.1
-
17
-
-
0035949881
-
A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
-
Wazwaz A.M. A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation. Appl Math Comput 123 2 (2001) 205-217
-
(2001)
Appl Math Comput
, vol.123
, Issue.2
, pp. 205-217
-
-
Wazwaz, A.M.1
-
18
-
-
3042836089
-
An analytic study of Fisher's equation by using Adomian decomposition method
-
Wazwaz A.M., and Gorguis A. An analytic study of Fisher's equation by using Adomian decomposition method. Appl Math Comput 154 3 (2004) 609-620
-
(2004)
Appl Math Comput
, vol.154
, Issue.3
, pp. 609-620
-
-
Wazwaz, A.M.1
Gorguis, A.2
-
19
-
-
20444445089
-
Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method
-
Wazwaz A.M. Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method. Appl Math Comput 166 3 (2005) 638-651
-
(2005)
Appl Math Comput
, vol.166
, Issue.3
, pp. 638-651
-
-
Wazwaz, A.M.1
-
20
-
-
0041179526
-
Solving frontier problems of physics by decomposition method: a new approach
-
Mavoungou T., and Cherruault Y. Solving frontier problems of physics by decomposition method: a new approach. Kybernetes 27 9 (1998) 1053-1061
-
(1998)
Kybernetes
, vol.27
, Issue.9
, pp. 1053-1061
-
-
Mavoungou, T.1
Cherruault, Y.2
-
21
-
-
0033241451
-
The decomposition method applied to the cauchy problem
-
Abbaoui K., and Cherruault Y. The decomposition method applied to the cauchy problem. Kybernetes 28 (1999) 103-108
-
(1999)
Kybernetes
, vol.28
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
22
-
-
0036018150
-
Approximation of the solution for a class of first order p.d.e. by Adomian method
-
Khelifa S., and Cherruault Y. Approximation of the solution for a class of first order p.d.e. by Adomian method. Kybernetes 31 3/4 (2002) 577-595
-
(2002)
Kybernetes
, vol.31
, Issue.3-4
, pp. 577-595
-
-
Khelifa, S.1
Cherruault, Y.2
-
23
-
-
0242695011
-
A new approach to travelling wave solution of a fourth-order semilinear diffusion equation
-
Inc M., and Cherruault Y. A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Kybernetes 32 9/10 (2003) 1492-1503
-
(2003)
Kybernetes
, vol.32
, Issue.9-10
, pp. 1492-1503
-
-
Inc, M.1
Cherruault, Y.2
-
24
-
-
1842455890
-
A computational approach to the wave equations: An application of the decomposition method
-
Inc M., Cherruault Y., and Abbaoui K. A computational approach to the wave equations: An application of the decomposition method. Kybernetes 33 1 (2004) 80-97
-
(2004)
Kybernetes
, vol.33
, Issue.1
, pp. 80-97
-
-
Inc, M.1
Cherruault, Y.2
Abbaoui, K.3
-
25
-
-
24344452918
-
A reliable approach to the Korteweg-de Vries equation: An application of the decomposition method
-
Inc M., and Cherruault Y. A reliable approach to the Korteweg-de Vries equation: An application of the decomposition method. Kybernetes 34 7/8 (2005) 951-959
-
(2005)
Kybernetes
, vol.34
, Issue.7-8
, pp. 951-959
-
-
Inc, M.1
Cherruault, Y.2
-
26
-
-
24344507221
-
A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations
-
Inc M., and Cherruault Y. A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Kybernetes 34 7/8 (2005) 1034-1048
-
(2005)
Kybernetes
, vol.34
, Issue.7-8
, pp. 1034-1048
-
-
Inc, M.1
Cherruault, Y.2
-
27
-
-
0037107899
-
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
-
Kaya D., and Yokus A. A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Math Comp Simulat 60 6 (2002) 507-512
-
(2002)
Math Comp Simulat
, vol.60
, Issue.6
, pp. 507-512
-
-
Kaya, D.1
Yokus, A.2
-
28
-
-
0037507444
-
A numerical solution of the Sine-Gordon equation using the modified decomposition method
-
Kaya D. A numerical solution of the Sine-Gordon equation using the modified decomposition method. Appl Math Comp 143 (2003) 309-317
-
(2003)
Appl Math Comp
, vol.143
, pp. 309-317
-
-
Kaya, D.1
-
29
-
-
0037424857
-
On a Generalized Fifth Order KdV Equations
-
Kaya D., and El-Sayed S.M. On a Generalized Fifth Order KdV Equations. Phys Lett A 310 1 (2003) 44-51
-
(2003)
Phys Lett A
, vol.310
, Issue.1
, pp. 44-51
-
-
Kaya, D.1
El-Sayed, S.M.2
-
30
-
-
0037411749
-
An application of the decomposition method for the generalized KdV and RLW equations
-
Kaya D., and El-Sayed S.M. An application of the decomposition method for the generalized KdV and RLW equations. Chaos, Solitons & Fractals 17 5 (2003) 869-877
-
(2003)
Chaos, Solitons & Fractals
, vol.17
, Issue.5
, pp. 869-877
-
-
Kaya, D.1
El-Sayed, S.M.2
-
31
-
-
0038112095
-
An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
-
Kaya D. An explicit and numerical solutions of some fifth-order KdV equation by decomposition method. Appl Math Comp 144 2-3 (2003) 353-363
-
(2003)
Appl Math Comp
, vol.144
, Issue.2-3
, pp. 353-363
-
-
Kaya, D.1
-
32
-
-
0141748145
-
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation
-
Kaya D. Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. Appl Math Comp 147 (2004) 69-78
-
(2004)
Appl Math Comp
, vol.147
, pp. 69-78
-
-
Kaya, D.1
-
33
-
-
0346497913
-
A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation
-
Kaya D. A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. Appl Math Comp 149 3 (2004) 833-841
-
(2004)
Appl Math Comp
, vol.149
, Issue.3
, pp. 833-841
-
-
Kaya, D.1
-
34
-
-
26044453236
-
A numerical application of the decomposition method for the combined KdV-MKdV equation
-
Kaya D., and Inan I.E. A numerical application of the decomposition method for the combined KdV-MKdV equation. Appl Math Comput 168 2 (2005) 915-926
-
(2005)
Appl Math Comput
, vol.168
, Issue.2
, pp. 915-926
-
-
Kaya, D.1
Inan, I.E.2
-
35
-
-
25844433115
-
An application for a modified KdV equation by the decomposition method and finite element method
-
Geyikli T., and Kaya D. An application for a modified KdV equation by the decomposition method and finite element method. Appl Math Comput 169 2 (2005) 971-981
-
(2005)
Appl Math Comput
, vol.169
, Issue.2
, pp. 971-981
-
-
Geyikli, T.1
Kaya, D.2
-
36
-
-
31644440712
-
A numerical solution and an exact explicit solution of the NLS equation
-
El-Sayed S.M., and Kaya D. A numerical solution and an exact explicit solution of the NLS equation. Appl Math Comput 172 2 (2006) 1315-1322
-
(2006)
Appl Math Comput
, vol.172
, Issue.2
, pp. 1315-1322
-
-
El-Sayed, S.M.1
Kaya, D.2
-
37
-
-
29144511511
-
The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation
-
Kaya D. The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. Phys Lett A 348 3-6 (2006) 244-250
-
(2006)
Phys Lett A
, vol.348
, Issue.3-6
, pp. 244-250
-
-
Kaya, D.1
-
38
-
-
17444364074
-
Analytical Solution of a Dynamic System Containing Fractional Derivative of Order one-half by Adomian Decomposition Method
-
Saha Ray S., and Bera R.K. Analytical Solution of a Dynamic System Containing Fractional Derivative of Order one-half by Adomian Decomposition Method. Trans ASME J Appl Mech 72 2 (2005) 290-295
-
(2005)
Trans ASME J Appl Mech
, vol.72
, Issue.2
, pp. 290-295
-
-
Saha Ray, S.1
Bera, R.K.2
-
39
-
-
24944478244
-
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Appl Math Comput 167 1 (2005) 561-571
-
(2005)
Appl Math Comput
, vol.167
, Issue.1
, pp. 561-571
-
-
Saha Ray, S.1
Bera, R.K.2
-
40
-
-
25644439033
-
Analytical solution of the Bagley Torvik equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Appl Math Comput 168 1 (2005) 398-410
-
(2005)
Appl Math Comput
, vol.168
, Issue.1
, pp. 398-410
-
-
Saha Ray, S.1
Bera, R.K.2
-
41
-
-
33646481923
-
A numerical solution of the coupled Sine-Gordon equation using the modified decomposition method
-
Saha Ray S. A numerical solution of the coupled Sine-Gordon equation using the modified decomposition method. Appl Math Comput 175 2 (2006) 1046-1054
-
(2006)
Appl Math Comput
, vol.175
, Issue.2
, pp. 1046-1054
-
-
Saha Ray, S.1
-
42
-
-
0040313517
-
A reliable modification of Adomian decomposition method
-
Wazwaz A.M. A reliable modification of Adomian decomposition method. Appl Math Comp 102 1 (1999) 77-86
-
(1999)
Appl Math Comp
, vol.102
, Issue.1
, pp. 77-86
-
-
Wazwaz, A.M.1
-
43
-
-
84970868898
-
Convergence of Adomian's Method
-
Cherruault Y. Convergence of Adomian's Method. Kybernetes 18 (1989) 31-38
-
(1989)
Kybernetes
, vol.18
, pp. 31-38
-
-
Cherruault, Y.1
-
44
-
-
43949159125
-
Convergence of Adomian's method applied to differential equations
-
Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput Math Appl 28 5 (1994) 103-109
-
(1994)
Comput Math Appl
, vol.28
, Issue.5
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
45
-
-
0000487641
-
New ideas for proving convergence of decomposition methods
-
Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput Math Appl 29 (1995) 103-108
-
(1995)
Comput Math Appl
, vol.29
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
46
-
-
0033240054
-
New results of convergence of Adomian's method
-
Himoun N., Abbaoui K., and Cherruault Y. New results of convergence of Adomian's method. Kybernetes 28 4-5 (1999) 423-429
-
(1999)
Kybernetes
, vol.28
, Issue.4-5
, pp. 423-429
-
-
Himoun, N.1
Abbaoui, K.2
Cherruault, Y.3
-
47
-
-
85196148713
-
-
Wolfram S. Mathematica for Windows, Version 5.0. Wolfram Research; 2003.
-
-
-
|