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Volumn 2012, Issue , 2012, Pages

Approximate solutions for nonlinear initial value problems using the modified variational iteration method

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EID: 84864948708     PISSN: 1110757X     EISSN: 16870042     Source Type: Journal    
DOI: 10.1155/2012/370843     Document Type: Article
Times cited : (1)

References (67)
  • 1
    • 13544273540 scopus 로고    scopus 로고
    • Backlund transformation and soliton solutions for KP equation
    • DOI 10.1016/j.chaos.2004.11.019, PII S0960077904007404
    • Deng S.-F., Bcklund transformation and soliton solutions for KP equation Chaos, Solitons and Fractals 2005 25 2 475 480 (Pubitemid 40220248)
    • (2005) Chaos, Solitons and Fractals , vol.25 , Issue.2 , pp. 475-480
    • Deng, S.-F.1
  • 3
    • 17644427366 scopus 로고    scopus 로고
    • Vector shock soliton and the Hirota bilinear method
    • DOI 10.1016/j.chaos.2004.12.021, PII S0960077905000585
    • Pashaev O., Tanolu G., Vector shock soliton and the Hirota bilinear method Chaos, Solitons Fractals 2005 26 1 95 105 (Pubitemid 40556373)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.1 , pp. 95-105
    • Pashaev, O.1    Tanoglu, G.2
  • 4
    • 0037411678 scopus 로고    scopus 로고
    • A Bcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
    • Vakhnenko V. O., Parkes E. J., Morrison A. J., A Bcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation Chaos, Solitons and Fractals 2003 17 4 683 692
    • (2003) Chaos, Solitons and Fractals , vol.17 , Issue.4 , pp. 683-692
    • Vakhnenko, V.O.1    Parkes, E.J.2    Morrison, A.J.3
  • 5
    • 0347985405 scopus 로고    scopus 로고
    • Solving the (2+1) -dimensional higher order Broer-Kaup system via a transformation and tanh-function method
    • De-Sheng L., Feng G., Hong-Qing Z., Solving the (2+1) -dimensional higher order Broer-Kaup system via a transformation and tanh-function method Chaos, Solitons and Fractals 2004 20 5 1021 1025
    • (2004) Chaos, Solitons and Fractals , vol.20 , Issue.5 , pp. 1021-1025
    • De-Sheng, L.1    Feng, G.2    Hong-Qing, Z.3
  • 6
    • 7244223299 scopus 로고    scopus 로고
    • Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations
    • Zayed E. M. E., Zedan H. A., Gepreel K. A., Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations International Journal of Nonlinear Sciences and Numerical Simulation 2004 5 3 221 234 (Pubitemid 39436192)
    • (2004) International Journal of Nonlinear Sciences and Numerical Simulation , vol.5 , Issue.3 , pp. 221-234
    • Zayed, E.M.E.1    Zedan, H.A.2    Gepreel, K.A.3
  • 9
    • 0038577058 scopus 로고    scopus 로고
    • The decomposition method for studying the Klein-Gordon equation
    • El-Sayed S. M., The decomposition method for studying the Klein-Gordon equation Chaos, Solitons and Fractals 2003 18 5 1025 1030
    • (2003) Chaos, Solitons and Fractals , vol.18 , Issue.5 , pp. 1025-1030
    • El-Sayed, S.M.1
  • 10
    • 0037411749 scopus 로고    scopus 로고
    • An application of the decomposition method for the generalized KdV and RLW equations
    • Kaya D., El-Sayed S. M., An application of the decomposition method for the generalized KdV and RLW equations Chaos, Solitons and Fractals 2003 17 5 869 877
    • (2003) Chaos, Solitons and Fractals , vol.17 , Issue.5 , pp. 869-877
    • Kaya, D.1    El-Sayed, S.M.2
  • 11
    • 4243080806 scopus 로고    scopus 로고
    • Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
    • Liu H. M., Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method Chaos, Solitons and Fractals 2005 23 2 573 576
    • (2005) Chaos, Solitons and Fractals , vol.23 , Issue.2 , pp. 573-576
    • Liu, H.M.1
  • 13
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variable coefficients
    • He J. H., Variational principles for some nonlinear partial differential equations with variable coefficients Chaos, Solitons and Fractals 2004 19 4 847 851
    • (2004) Chaos, Solitons and Fractals , vol.19 , Issue.4 , pp. 847-851
    • He, J.H.1
  • 14
    • 0141748126 scopus 로고    scopus 로고
    • Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents
    • Mesn A. M., Vericat F., Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents Chaos, Solitons and Fractals 2004 19 5 1031 1038
    • (2004) Chaos, Solitons and Fractals , vol.19 , Issue.5 , pp. 1031-1038
    • Mesn, A.M.1    Vericat, F.2
  • 15
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - A kind of non-linear analytical technique: Some examples
    • He J. H., Variational iteration method-A kind of non-linear analytical technique: some examples International Journal of Non-Linear Mechanics 1999 34 4 699 708
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 17
    • 0036489498 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. I. Expansion of a constant
    • He J. H., Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. I. Expansion of a constant International Journal of Non-Linear Mechanics 2002 37 2 309 314
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , Issue.2 , pp. 309-314
    • He, J.H.1
  • 18
    • 0036489502 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. II. A new transformation
    • He J. H., Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. II. A new transformation International Journal of Non-Linear Mechanics 2002 37 2 315 320
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , Issue.2 , pp. 315-320
    • He, J.H.1
  • 19
    • 0035603591 scopus 로고    scopus 로고
    • Modified Lindsted-Poincare methods for some strongly nonlinear oscillations part III: Double series expansion
    • He J. H., Modified Lindsted-Poincare methods for some strongly nonlinear oscillations part III: double series expansion International Journal of Nonlinear Sciences and Numerical Simulation 2001 2 4 317 320
    • (2001) International Journal of Nonlinear Sciences and Numerical Simulation , vol.2 , Issue.4 , pp. 317-320
    • He, J.H.1
  • 20
    • 4243080806 scopus 로고    scopus 로고
    • Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
    • Liu H. M., Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method Chaos, Solitons and Fractals 2005 23 2 573 576
    • (2005) Chaos, Solitons and Fractals , vol.23 , Issue.2 , pp. 573-576
    • Liu, H.M.1
  • 21
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G., A review of the decomposition method in applied mathematics Journal of Mathematical Analysis and Applications 1988 135 2 501 544
    • (1988) Journal of Mathematical Analysis and Applications , vol.135 , Issue.2 , pp. 501-544
    • Adomian, G.1
  • 22
    • 23644436694 scopus 로고    scopus 로고
    • A reliable technique for solving the wave equation in an infinite one-dimensional medium
    • Wazwaz A. M., A reliable technique for solving the wave equation in an infinite one-dimensional medium Applied Mathematics and Computation 1998 92 1 1 7
    • (1998) Applied Mathematics and Computation , vol.92 , Issue.1 , pp. 1-7
    • Wazwaz, A.M.1
  • 23
    • 14944374499 scopus 로고    scopus 로고
    • Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation
    • DOI 10.1016/j.chaos.2004.11.026, PII S0960077904007544
    • Wang D., Zhang H.-Q., Further improved F -expansion method and new exact solutions of Konopelchenko-Dubrovsky equation Chaos, Solitons and Fractals 2005 25 3 601 610 (Pubitemid 40370289)
    • (2005) Chaos, Solitons and Fractals , vol.25 , Issue.3 , pp. 601-610
    • Wang, D.1    Zhang, H.-Q.2
  • 24
    • 13444310842 scopus 로고    scopus 로고
    • Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation
    • DOI 10.1016/j.chaos.2004.09.044, PII S0960077904006186
    • Wang M., Li X., Applications of F -expansion to periodic wave solutions for a new Hamiltonian amplitude equation Chaos, Solitons and Fractals 2005 24 5 1257 1268 (Pubitemid 40206052)
    • (2005) Chaos, Solitons and Fractals , vol.24 , Issue.5 , pp. 1257-1268
    • Wang, M.1    Li, X.2
  • 25
    • 34748862326 scopus 로고    scopus 로고
    • Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
    • Wu X. H., He J. H., Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method Computers Mathematics with Applications 2007 54 7-8 966 986
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 966-986
    • Wu, X.H.1    He, J.H.2
  • 26
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J. H., Wu X. H., Exp-function method for nonlinear wave equations Chaos, Solitons and Fractals 2006 30 3 700 708
    • (2006) Chaos, Solitons and Fractals , vol.30 , Issue.3 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 27
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solutions for nonlinear evolution equations using Exp-function method
    • DOI 10.1016/j.chaos.2006.05.072, PII S0960077906005418
    • He J. H., Abdou M. A., New periodic solutions for nonlinear evolution equations using Exp-function method Chaos, Solitons and Fractals 2007 34 5 1421 1429 (Pubitemid 46907583)
    • (2007) Chaos, Solitons and Fractals , vol.34 , Issue.5 , pp. 1421-1429
    • He, J.-H.1    Abdou, M.A.2
  • 29
    • 4444377082 scopus 로고    scopus 로고
    • Determination of limit cycles for strongly nonlinear oscillators
    • He J. H., Determination of limit cycles for strongly nonlinear oscillators Physical Review Letters 2003 90 17 3
    • (2003) Physical Review Letters , vol.90 , Issue.17 , pp. 3
    • He, J.H.1
  • 30
    • 10944241946 scopus 로고    scopus 로고
    • Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation
    • Shen J., Xu W., Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation International Journal of Nonlinear Sciences and Numerical Simulation 2004 5 4 397 402 (Pubitemid 40019663)
    • (2004) International Journal of Nonlinear Sciences and Numerical Simulation , vol.5 , Issue.4 , pp. 397-402
    • Shen, J.1    Xu, W.2
  • 32
    • 15544383672 scopus 로고    scopus 로고
    • Classification and computation of non-resonant double Hopf bifurcations and solutions in delayed van der Pol-Duffing system
    • Zhang Y., Xu J., Classification and computation of non-resonant double Hopf bifurcations and solutions in delayed van der Pol-Duffing system International Journal of Nonlinear Sciences and Numerical Simulation 2005 6 1 63 68 (Pubitemid 40405719)
    • (2005) International Journal of Nonlinear Sciences and Numerical Simulation , vol.6 , Issue.1 , pp. 63-68
    • Zhang, Y.1    Xu, J.2
  • 35
    • 0035831998 scopus 로고    scopus 로고
    • Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
    • DOI 10.1016/S0375-9601(01)00161-X, PII S037596010100161X
    • Fan E., Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation Physics Letters. A 2001 282 1-2 18 22 (Pubitemid 32298138)
    • (2001) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.282 , Issue.1-2 , pp. 18-22
    • Fan, E.1
  • 36
    • 67651229170 scopus 로고    scopus 로고
    • The travelling wave solutions for non-linear initial-value problems using the homotopy perturbation method
    • Zayed E. M. E., Nofal T. A., Gepreel K. A., The travelling wave solutions for non-linear initial-value problems using the homotopy perturbation method Applicable Analysis 2009 88 4 617 634
    • (2009) Applicable Analysis , vol.88 , Issue.4 , pp. 617-634
    • Zayed, E.M.E.1    Nofal, T.A.2    Gepreel, K.A.3
  • 37
    • 79952088180 scopus 로고    scopus 로고
    • Determination of natural frequencies by coupled method of homotopy perturbation and variational method for strongly nonlinear oscillators
    • Akbarzade M., Langari J., Determination of natural frequencies by coupled method of homotopy perturbation and variational method for strongly nonlinear oscillators Journal of Mathematical Physics 2011 52 2 10
    • (2011) Journal of Mathematical Physics , vol.52 , Issue.2 , pp. 10
    • Akbarzade, M.1    Langari, J.2
  • 38
    • 34748829690 scopus 로고    scopus 로고
    • Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations
    • Mei S. L., Zhang S. W., Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations Computers Mathematics with Applications 2007 54 7-8 1092 1100
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 1092-1100
    • Mei, S.L.1    Zhang, S.W.2
  • 39
    • 37349105607 scopus 로고    scopus 로고
    • Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
    • Wazwaz A. M., Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations Applied Mathematics and Computation 2008 195 2 754 761
    • (2008) Applied Mathematics and Computation , vol.195 , Issue.2 , pp. 754-761
    • Wazwaz, A.M.1
  • 40
    • 33751530880 scopus 로고    scopus 로고
    • New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
    • Wazwaz A. M., New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations Applied Mathematics and Computation 2006 182 2 1642 1650
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.2 , pp. 1642-1650
    • Wazwaz, A.M.1
  • 41
    • 67349151697 scopus 로고    scopus 로고
    • A complex ansatz method applied to nonlinear equations of Schrdinger type
    • Zhang H., A complex ansatz method applied to nonlinear equations of Schrdinger type Chaos, Solitons and Fractals 2009 41 1 183 189
    • (2009) Chaos, Solitons and Fractals , vol.41 , Issue.1 , pp. 183-189
    • Zhang, H.1
  • 42
    • 37349079201 scopus 로고    scopus 로고
    • The extended hyperbolic function method and exact solutions of the long-short wave resonance equations
    • DOI 10.1016/j.chaos.2006.07.007, PII S0960077906007119
    • Shang Y., The extended hyperbolic function method and exact solutions of the long-short wave resonance equations Chaos, Solitons and Fractals 2008 36 3 762 771 (Pubitemid 350297944)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.3 , pp. 762-771
    • Shang, Y.1
  • 43
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • He J. H., The homotopy perturbation method for nonlinear oscillators with discontinuities Applied Mathematics and Computation 2004 151 1 287 292
    • (2004) Applied Mathematics and Computation , vol.151 , Issue.1 , pp. 287-292
    • He, J.H.1
  • 44
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation method and homotopy analysis method
    • He J. H., Comparison of homotopy perturbation method and homotopy analysis method Applied Mathematics and Computation 2004 156 2 527 539
    • (2004) Applied Mathematics and Computation , vol.156 , Issue.2 , pp. 527-539
    • He, J.H.1
  • 45
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbation method
    • He J. H., Asymptotology by homotopy perturbation method Applied Mathematics and Computation 2004 156 3 591 596
    • (2004) Applied Mathematics and Computation , vol.156 , Issue.3 , pp. 591-596
    • He, J.H.1
  • 46
    • 30644460357 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving boundary value problems
    • He J. H., Homotopy perturbation method for solving boundary value problems Physics Letters. A 2006 350 1-2 87 88
    • (2006) Physics Letters. A , vol.350 , Issue.12 , pp. 87-88
    • He, J.H.1
  • 47
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J. H., Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons and Fractals 2005 26 3 695 700
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 695-700
    • He, J.H.1
  • 49
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J. H., Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons and Fractals 2005 26 3 695 700
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 695-700
    • He, J.H.1
  • 51
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy method
    • He J. H., New interpretation of homotopy method International Journal of Modern Physics B 2006 20 18 2561 2568
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.18 , pp. 2561-2568
    • He, J.H.1
  • 52
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J. H., Some asymptotic methods for strongly nonlinear equations International Journal of Modern Physics B 2006 20 10 1141 1199
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 53
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • He J. H., Homotopy perturbation method: a new nonlinear analytical technique Applied Mathematics and Computation 2003 135 1 73 79
    • (2003) Applied Mathematics and Computation , vol.135 , Issue.1 , pp. 73-79
    • He, J.H.1
  • 54
    • 77955858024 scopus 로고    scopus 로고
    • A Note on the homotopy perturbation method
    • He J. H., A Note on the homotopy perturbation method Thermal Science 2010 14 2 565 568
    • (2010) Thermal Science , vol.14 , Issue.2 , pp. 565-568
    • He, J.H.1
  • 55
    • 84860388823 scopus 로고    scopus 로고
    • A short remark on fractional variational iteration method
    • He J. H., A short remark on fractional variational iteration method Physics Letters. A 2011 375 38 3362 3364
    • (2011) Physics Letters. A , vol.375 , Issue.38 , pp. 3362-3364
    • He, J.H.1
  • 56
    • 78650881841 scopus 로고    scopus 로고
    • The fractional variational iteration method using He's polynomials
    • Guo S., Mei L., The fractional variational iteration method using He's polynomials Physics Letters. A 2011 375 3 309 313
    • (2011) Physics Letters. A , vol.375 , Issue.3 , pp. 309-313
    • Guo, S.1    Mei, L.2
  • 57
    • 78649847892 scopus 로고    scopus 로고
    • Variational iteration method for delay differential equations using he's polynomials
    • Mohyud-Din S. T., Yildirim A., Variational iteration method for delay differential equations using he's polynomials Zeitschrift fur Naturforschung, Section A 2010 65 12 1045 1048
    • (2010) Zeitschrift fur Naturforschung, Section A , vol.65 , Issue.12 , pp. 1045-1048
    • Mohyud-Din, S.T.1    Yildirim, A.2
  • 58
    • 47649108651 scopus 로고    scopus 로고
    • Applying He's variational iteration method for solving differential-difference equation
    • Yldrm A., Applying He's variational iteration method for solving differential-difference equation Mathematical Problems in Engineering 2008 2008 7
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 7
    • Yldrm, A.1
  • 59
    • 76649099204 scopus 로고    scopus 로고
    • Solving nonlinear boundary value problems using He's polynomials and Padé approximants
    • Mohyud-Din S. T., Yildirim A., Solving nonlinear boundary value problems using He's polynomials and Padé approximants Mathematical Problems in Engineering 2009 2009 17
    • (2009) Mathematical Problems in Engineering , vol.2009 , pp. 17
    • Mohyud-Din, S.T.1    Yildirim, A.2
  • 60
    • 77952491182 scopus 로고    scopus 로고
    • Modified variational iteration method for free-convective boundary-layer equation using Padé approximation
    • Mohyud-Din S. T., Yildirim A., Sezer S. A., Usman M., Modified variational iteration method for free-convective boundary-layer equation using Padé approximation Mathematical Problems in Engineering 2010 2010 11
    • (2010) Mathematical Problems in Engineering , vol.2010 , pp. 11
    • Mohyud-Din, S.T.1    Yildirim, A.2    Sezer, S.A.3    Usman, M.4
  • 61
    • 34249914534 scopus 로고    scopus 로고
    • Numerical study of modified Adomian's method applied to Burgers equation
    • DOI 10.1016/j.cam.2006.09.001, PII S0377042706005413
    • Basto M., Semiao V., Calheiros F. L., Numerical study of modified Adomian's method applied to Burgers equation Journal of Computational and Applied Mathematics 2007 206 2 927 949 (Pubitemid 46863397)
    • (2007) Journal of Computational and Applied Mathematics , vol.206 , Issue.2 , pp. 927-949
    • Basto, M.1    Semiao, V.2    Calheiros, F.L.3
  • 62
    • 34249337378 scopus 로고    scopus 로고
    • The solution of coupled Burgers' equations using Adomian-Pade technique
    • DOI 10.1016/j.amc.2006.11.179, PII S0096300306016808
    • Dehghan M., Hamidi A., Shakourifar M., The solution of coupled Burgers' equations using Adomian-Pade technique Applied Mathematics and Computation 2007 189 2 1034 1047 (Pubitemid 46813156)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.2 , pp. 1034-1047
    • Dehghan, M.1    Hamidi, A.2    Shakourifar, M.3
  • 64
    • 34548570369 scopus 로고    scopus 로고
    • Solution of the generalized nonlinear boussinesq equation using homotopy perturbation and variational iteration methods
    • Sadighi A., Ganji D. D., Solution of the generalized nonlinear boussinesq equation using homotopy perturbation and variational iteration methods International Journal of Nonlinear Sciences and Numerical Simulation 2007 8 3 435 444
    • (2007) International Journal of Nonlinear Sciences and Numerical Simulation , vol.8 , Issue.3 , pp. 435-444
    • Sadighi, A.1    Ganji, D.D.2
  • 65
    • 34249893388 scopus 로고    scopus 로고
    • Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method
    • Tari H., Ganji D. D., Rostamian M., Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method International Journal of Nonlinear Sciences and Numerical Simulation 2007 8 2 203 210
    • (2007) International Journal of Nonlinear Sciences and Numerical Simulation , vol.8 , Issue.2 , pp. 203-210
    • Tari, H.1    Ganji, D.D.2    Rostamian, M.3
  • 66
    • 51349121599 scopus 로고    scopus 로고
    • Homotopy perturbation and Adomain decomposition methods for solving nonlinear Boussinesq equations
    • Zayed E. M. E., Nofal T. A., Gepreel K. A., Homotopy perturbation and Adomain decomposition methods for solving nonlinear Boussinesq equations Communications on Applied Nonlinear Analysis 2008 15 3 57 70
    • (2008) Communications on Applied Nonlinear Analysis , vol.15 , Issue.3 , pp. 57-70
    • Zayed, E.M.E.1    Nofal, T.A.2    Gepreel, K.A.3
  • 67
    • 58449133122 scopus 로고    scopus 로고
    • The homotopy perturbation method for solving nonlinear burgers and new coupled modified korteweg-de vries equations
    • Zayed E. M. E., Nofal T. A., Gepreel K. A., The homotopy perturbation method for solving nonlinear burgers and new coupled modified korteweg-de vries equations Zeitschrift fur Naturforschung, Section A 2008 63 10-11 627 633
    • (2008) Zeitschrift fur Naturforschung, Section A , vol.63 , Issue.10-11 , pp. 627-633
    • Zayed, E.M.E.1    Nofal, T.A.2    Gepreel, K.A.3


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