-
1
-
-
0037411678
-
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
-
Vakhnenko VO, Parkes EJA, Morrison AJ. A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Chaos, Solitons and Fractals 2003; 17:683-692.
-
(2003)
Chaos, Solitons and Fractals
, vol.17
, pp. 683-692
-
-
Vakhnenko, V.O.1
Parkes, E.J.A.2
Morrison, A.J.3
-
2
-
-
0035452509
-
Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
-
Wazwaz AM. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos, Solitons and Fractals 2001; 12:2283-2293.
-
(2001)
Chaos, Solitons and Fractals
, vol.12
, pp. 2283-2293
-
-
Wazwaz, A.M.1
-
3
-
-
34248208547
-
Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian
-
Dehghan M, Tatari M. Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian. Numerical Methods for Partial Differential Equations 2007; 23:499-510.
-
(2007)
Numerical Methods for Partial Differential Equations
, vol.23
, pp. 499-510
-
-
Dehghan, M.1
Tatari, M.2
-
4
-
-
46449132300
-
Comparison between Adomian's method and He's homotopy perturbation method
-
DOI: 10.1016/j.camwa.02.023
-
Öziş T, Yildirim A. Comparison between Adomian's method and He's homotopy perturbation method. Computer Mathematics with Applications 2008; DOI: 10.1016/j.camwa.02.023.
-
(2008)
Computer Mathematics with Applications
-
-
Öziş, T.1
Yildirim, A.2
-
5
-
-
17644427366
-
Vector shock soliton and the Hirota bilinear method
-
Pashaev O, Tanoglu G. Vector shock soliton and the Hirota bilinear method. Chaos, Solitons and Fractals 2005; 26:95-105.
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, pp. 95-105
-
-
Pashaev, O.1
Tanoglu, G.2
-
6
-
-
33745177020
-
Exp-function method for nonlinear wave equations
-
He JH, Wu XH. Exp-function method for nonlinear wave equations. Chaos, Solitons and Fractals 2006; 30:700-708.
-
(2006)
Chaos, Solitons and Fractals
, vol.30
, pp. 700-708
-
-
He, J.H.1
Wu, X.H.2
-
7
-
-
0000615571
-
An approximate solution technique not depending on small parameters: a special example
-
Liao SJ. An approximate solution technique not depending on small parameters: a special example. International Journal of Non-linear Mechanics 1996; 30:371-380.
-
(1996)
International Journal of Non-linear Mechanics
, vol.30
, pp. 371-380
-
-
Liao, S.J.1
-
9
-
-
0033702384
-
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
-
He JH. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-linear Mechanics 2000; 35:37-43.
-
(2000)
International Journal of Non-linear Mechanics
, vol.35
, pp. 37-43
-
-
He, J.H.1
-
10
-
-
0037440579
-
Homotopy perturbation method: a new nonlinear analytical technique
-
He JH. Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation 2003; 135:73-79.
-
(2003)
Applied Mathematics and Computation
, vol.135
, pp. 73-79
-
-
He, J.H.1
-
11
-
-
1242287587
-
He's homotopy perturbation method for nonlinear oscillators with discontinuities
-
He JH. He's homotopy perturbation method for nonlinear oscillators with discontinuities. Applied Mathematics and Computation 2004; 151:287-292.
-
(2004)
Applied Mathematics and Computation
, vol.151
, pp. 287-292
-
-
He, J.H.1
-
12
-
-
18844426016
-
Application of homotopy perturbation method to nonlinear wave equations
-
He JH. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Solitons and Fractals 2005; 26:695-700.
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, pp. 695-700
-
-
He, J.H.1
-
13
-
-
34247154842
-
A note on He's homotopy perturbation method for van der Pol oscillator with very strong nonlinearity
-
Öziş T, Yildirim A. A note on He's homotopy perturbation method for van der Pol oscillator with very strong nonlinearity. Chaos, Solitons and Fractals 2007; 34:989-991.
-
(2007)
Chaos, Solitons and Fractals
, vol.34
, pp. 989-991
-
-
Öziş, T.1
Yildirim, A.2
-
15
-
-
34249884541
-
A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities
-
Öziş T, Yildirim A. A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities. International Journal of Nonlinear Sciences and Numerical Simulation 2007; 8:243-248.
-
(2007)
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.8
, pp. 243-248
-
-
Öziş, T.1
Yildirim, A.2
-
16
-
-
34548249064
-
Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
-
Yildirim A, Öziş T. Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. Physics Letters A 2007; 369:70-76.
-
(2007)
Physics Letters A
, vol.369
, pp. 70-76
-
-
Yildirim, A.1
Öziş, T.2
-
17
-
-
47049085208
-
Exact solutions of nonlinear differential-difference equations by He's homotopy perturbation method
-
Yildirim A. Exact solutions of nonlinear differential-difference equations by He's homotopy perturbation method. International Journal of Nonlinear Sciences and Numerical Simulation 2008; 9:111-114.
-
(2008)
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.9
, pp. 111-114
-
-
Yildirim, A.1
-
18
-
-
77649111755
-
On the solution of the non-linear Korteweg-de Vries equation by the homotopy perturbation method
-
DOI: 10.1002/cnm.1146
-
Yildirim A. On the solution of the non-linear Korteweg-de Vries equation by the homotopy perturbation method. Communications in Numerical Methods in Engineering 2008; DOI: 10.1002/cnm.1146.
-
(2008)
Communications in Numerical Methods in Engineering
-
-
Yildirim, A.1
-
19
-
-
0000092673
-
Variational iteration method-a kind of non-linear analytical technique: some examples
-
He JH. Variational iteration method-a kind of non-linear analytical technique: some examples. International Journal of Non-linear Mechanics 1999; 34:699-708.
-
(1999)
International Journal of Non-linear Mechanics
, vol.34
, pp. 699-708
-
-
He, J.H.1
-
20
-
-
0040184009
-
Variational iteration method for autonomous ordinary differential system
-
He JH. Variational iteration method for autonomous ordinary differential system. Applied Mathematics and Computation 2000; 114:115-123.
-
(2000)
Applied Mathematics and Computation
, vol.114
, pp. 115-123
-
-
He, J.H.1
-
21
-
-
30344475545
-
Construction of solitary solution and compaction-like solution by variational iteration method
-
He JH, Wu XH. Construction of solitary solution and compaction-like solution by variational iteration method. Chaos, Solitons and Fractals 2006; 29:108-113.
-
(2006)
Chaos, Solitons and Fractals
, vol.29
, pp. 108-113
-
-
He, J.H.1
Wu, X.H.2
-
23
-
-
59049085436
-
Solutions of singular IVPs of Lane-Emden type by the variational iteration method
-
DOI: 10.1016/j.na.2008.03.012
-
Yildirim A, Öziş T. Solutions of singular IVPs of Lane-Emden type by the variational iteration method. Nonlinear Analysis Series A: Theory, Methods and Applications 2008; DOI: 10.1016/j.na.2008.03.012.
-
(2008)
Nonlinear Analysis Series A: Theory, Methods and Applications
-
-
Yildirim, A.1
Öziş, T.2
-
24
-
-
34748875886
-
The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations
-
Wazwaz AM. The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations. Computers and Mathematics with Applications 2007; 54:933-939.
-
(2007)
Computers and Mathematics with Applications
, vol.54
, pp. 933-939
-
-
Wazwaz, A.M.1
-
26
-
-
34748865368
-
Exact solutions of nonlinear diffusion equations by variational iteration method
-
Sadighi A, Ganji DD. Exact solutions of nonlinear diffusion equations by variational iteration method. Computers and Mathematics with Applications 2007; 54:1112-1121.
-
(2007)
Computers and Mathematics with Applications
, vol.54
, pp. 1112-1121
-
-
Sadighi, A.1
Ganji, D.D.2
-
27
-
-
34848910713
-
A variational iteration method for solving parabolic partial differential equations
-
Golbabai A, Javidi M. A variational iteration method for solving parabolic partial differential equations. Computers and Mathematics with Applications 2007; 54:987-992.
-
(2007)
Computers and Mathematics with Applications
, vol.54
, pp. 987-992
-
-
Golbabai, A.1
Javidi, M.2
-
28
-
-
33846523615
-
Solution of problems in calculus of variations via He's variational iteration method
-
Tatari M, Dehghan M. Solution of problems in calculus of variations via He's variational iteration method. Physics Letters A 2007; 362:401-406.
-
(2007)
Physics Letters A
, vol.362
, pp. 401-406
-
-
Tatari, M.1
Dehghan, M.2
-
29
-
-
33749530855
-
The use of He's variational iteration method for solving a Fokker-Planck equation
-
Dehghan M, Tatari M. The use of He's variational iteration method for solving a Fokker-Planck equation. Physica Scripta 2006; 74:310-316.
-
(2006)
Physica Scripta
, vol.74
, pp. 310-316
-
-
Dehghan, M.1
Tatari, M.2
-
30
-
-
35348829740
-
Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method
-
Dehghan M, Tatari M. Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method. Chaos, Solitons and Fractals 2008; 36:157-166.
-
(2008)
Chaos, Solitons and Fractals
, vol.36
, pp. 157-166
-
-
Dehghan, M.1
Tatari, M.2
-
31
-
-
33847215123
-
He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
-
Tatari M, Dehghan M. He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation. Chaos, Solitons and Fractals 2007; 33:671-677.
-
(2007)
Chaos, Solitons and Fractals
, vol.33
, pp. 671-677
-
-
Tatari, M.1
Dehghan, M.2
-
32
-
-
35448960877
-
Numerical solution of the Klein-Gordon equation via He's variational iteration method
-
Shakeri F, Dehghan M. Numerical solution of the Klein-Gordon equation via He's variational iteration method. Nonlinear Dynamics 2008; 51:89-97.
-
(2008)
Nonlinear Dynamics
, vol.51
, pp. 89-97
-
-
Shakeri, F.1
Dehghan, M.2
-
33
-
-
34848823089
-
Numerical solution of a biological population model using He's variational iteration method
-
Shakeri F, Dehghan M. Numerical solution of a biological population model using He's variational iteration method. Computers and Mathematics with Applications 2007; 54:1197-1209.
-
(2007)
Computers and Mathematics with Applications
, vol.54
, pp. 1197-1209
-
-
Shakeri, F.1
Dehghan, M.2
-
34
-
-
34548509029
-
Approximate solution of a differential equation arising in astrophysics using the variational iteration method
-
Dehghan M, Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astronomy 2008; 13:53-59.
-
(2008)
New Astronomy
, vol.13
, pp. 53-59
-
-
Dehghan, M.1
Shakeri, F.2
-
35
-
-
39149109311
-
Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
-
Dehghan M, Shakeri F. Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem. Journal of Computational and Applied Mathematics 2008; 214:435-446.
-
(2008)
Journal of Computational and Applied Mathematics
, vol.214
, pp. 435-446
-
-
Dehghan, M.1
Shakeri, F.2
-
37
-
-
47949123722
-
Solution of a model describing biological species living together using the variational iteration method
-
DOI: 10.1016/j.mcm.2007.11.012
-
Shakeri F, Dehghan M. Solution of a model describing biological species living together using the variational iteration method. Mathematical and Computer Modelling 2007; DOI: 10.1016/j.mcm.2007.11.012.
-
(2007)
Mathematical and Computer Modelling
-
-
Shakeri, F.1
Dehghan, M.2
-
40
-
-
20444495185
-
Time-accurate solution of advection-diffusion problems by wavelet-Taylor-Galerkin method
-
Mani M, Rathish Kumar BV. Time-accurate solution of advection-diffusion problems by wavelet-Taylor-Galerkin method. Communications in Numerical Methods in Engineering 2005; 21:313-326.
-
(2005)
Communications in Numerical Methods in Engineering
, vol.21
, pp. 313-326
-
-
Mani, M.1
Rathish Kumar, B.V.2
-
44
-
-
33644938250
-
Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
-
Wazwaz AM. Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations. Physics Letters A 2006; 352:500-504.
-
(2006)
Physics Letters A
, vol.352
, pp. 500-504
-
-
Wazwaz, A.M.1
-
45
-
-
43049116900
-
Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations
-
Zhang B, Li S, Liu Z. Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations. Physics Letters A 2008; 372:1867-1872.
-
(2008)
Physics Letters A
, vol.372
, pp. 1867-1872
-
-
Zhang, B.1
Li, S.2
Liu, Z.3
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