메뉴 건너뛰기




Volumn 76, Issue 2, 2007, Pages 161-164

Approximate solutions for the generalized KdV-Burgers' equation by He's variational iteration method

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 34547498180     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/76/2/008     Document Type: Article
Times cited : (33)

References (31)
  • 1
    • 0141673112 scopus 로고    scopus 로고
    • A note on the exact travelling wave solution to the KdV-Burgers' equation
    • Demiray H 2003 A note on the exact travelling wave solution to the KdV-Burgers' equation Wave Motion 38 367-9
    • (2003) Wave Motion , vol.38 , Issue.4 , pp. 367-369
    • Demiray, H.1
  • 2
    • 3042713895 scopus 로고    scopus 로고
    • A travelling wave solution to the KdV-Burgers' equation
    • Demiray H 2004 A travelling wave solution to the KdV-Burgers' equation J. Appl. Math. Comput. 154 665-70
    • (2004) J. Appl. Math. Comput. , vol.154 , Issue.3 , pp. 665-670
    • Demiray, H.1
  • 3
    • 9544219696 scopus 로고    scopus 로고
    • New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach
    • Zhang C L, Fang J-P and Chen L-Q 2005 New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach Chaos Solitions Fractals 23 1741-8
    • (2005) Chaos Solitions Fractals , vol.23 , Issue.5 , pp. 1741-1748
    • Zhang, C.L.1    Fang, J.-P.2    Chen, L.-Q.3
  • 4
    • 33646740174 scopus 로고    scopus 로고
    • Fractal and chaotic patterns of Nizhnik- Novikov-Veselove system derived from a periodic wave solution
    • Zhu H P, Zheng C L and Ping Fang J 2006 Fractal and chaotic patterns of Nizhnik- Novikov-Veselove system derived from a periodic wave solution Phys. Lett. A 355 39-46
    • (2006) Phys. Lett. , vol.355 , Issue.1 , pp. 39-46
    • Zhu, H.P.1    Zheng, C.L.2    Ping Fang, J.3
  • 5
    • 27144554011 scopus 로고    scopus 로고
    • A Comparison between two different methods for solving KdV-Burgers' equation
    • Helal M A and Mehana M S 2006 A Comparison between two different methods for solving KdV-Burgers' equation Chaos Solitons Fractals 28 320-6
    • (2006) Chaos Solitons Fractals , vol.28 , Issue.2 , pp. 320-326
    • Helal, M.A.1    Mehana, M.S.2
  • 6
    • 24144475568 scopus 로고    scopus 로고
    • Numerical simulation of the generalized regularized long wave equation by He's variational iteration method
    • Soliman A A 2005 Numerical simulation of the generalized regularized long wave equation by He's variational iteration method Math. Comput. Simul. 70 119-24
    • (2005) Math. Comput. Simul. , vol.70 , Issue.2 , pp. 119-124
    • Soliman, A.A.1
  • 7
    • 31444443560 scopus 로고    scopus 로고
    • A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
    • Soliman A A 2006 A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations Chaos Solition Fractals 29 294-302
    • (2006) Chaos Solition Fractals , vol.29 , Issue.2 , pp. 294-302
    • Soliman, A.A.1
  • 8
    • 24144475568 scopus 로고    scopus 로고
    • Numerical solutions of nonlinear evolutions equations using variational iteration method
    • Soliman A A and Abdou M A 2005 Numerical solutions of nonlinear evolutions equations using variational iteration method Math. Comput. Simul. 70 119-24
    • (2005) Math. Comput. Simul. , vol.70 , Issue.2 , pp. 119-124
    • Soliman, A.A.1    Abdou, M.A.2
  • 9
    • 34250620099 scopus 로고    scopus 로고
    • The variational iteration method for rational solutions for KdV, K(2,2), Burgers', and cubic Boussinesq equations
    • Wazwaz A-M 2007 The variational iteration method for rational solutions for KdV, K(2,2), Burgers', and cubic Boussinesq equations J. Comput. Appl. Math. 207 18-23
    • (2007) J. Comput. Appl. Math. , vol.207 , Issue.1 , pp. 18-23
    • Wazwaz, A.-M.1
  • 10
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J H and Wu X H 2006 Exp-function method for nonlinear wave equations Chaos Solitons Fractals 30 700-8
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.3 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 11
    • 33645763668 scopus 로고    scopus 로고
    • Exact solutions and localized excitations of general Nizhnik-Novikov- Veselov system in (2+1)-dimensions via a projective approach
    • Ye J F, Zheng C L and Xie L-S 2006 Exact solutions and localized excitations of general Nizhnik-Novikov-Veselov system in (2+1)-dimensions via a projective approach Int. J. Nonlinear Sci. Numer. Simul. 7 203-8
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 203-208
    • Ye, J.F.1    Zheng, C.L.2    Xie, L.-S.3
  • 12
    • 34547681633 scopus 로고    scopus 로고
    • Exact and analytical solution for nonlinear dispersive K(m, p) equations using homotopy perturbation method
    • Domairry G, Ahangari M and Jasmshidi M 2007 Exact and analytical solution for nonlinear dispersive K(m, p) equations using homotopy perturbation method Phys. Lett. A at press
    • (2007) Phys. Lett.
    • Domairry, G.1    Ahangari, M.2    Jasmshidi, M.3
  • 13
    • 33644885770 scopus 로고    scopus 로고
    • Homotopy perturbation method for fractional KdV equation
    • Wang Q 2006 Homotopy perturbation method for fractional KdV equation Appl. Math. Comput. 175 581-9
    • (2006) Appl. Math. Comput. , vol.175 , Issue.1 , pp. 581-589
    • Wang, Q.1
  • 15
    • 33845905203 scopus 로고    scopus 로고
    • Traveling waves to a Burgers Korteweg-de Vries-type equation with higer-order nonlinearities
    • Feng Z and Knobel R 2007 Traveling waves to a Burgers Korteweg-de Vries-type equation with higer-order nonlinearities J. Math. Anal. Appl. 328 1435-50
    • (2007) J. Math. Anal. Appl. , vol.328 , Issue.2 , pp. 1435-1450
    • Feng, Z.1    Knobel, R.2
  • 16
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou M A and Soliman A A 2005 New applications of variational iteration method Physica D 211 1-8
    • (2005) Physica , vol.211 , Issue.1-2 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 17
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burgers' and coupled Burgers' equations
    • Abdou M A and Soliman A A 2005 Variational iteration method for solving Burgers' and coupled Burgers' equations J. Comput. Appl. Math. 181 245-51
    • (2005) J. Comput. Appl. Math. , vol.181 , Issue.2 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 19
    • 34250678918 scopus 로고    scopus 로고
    • Solving nonlinear partial differential equations the modified variational iterational padé technique
    • Abassy T A, El-Tawel M A and El-Zoheiry H 2007 Solving nonlinear partial differential equations the modified variational iterational padé technique J. Comput. Appl. Math. 207 73-91
    • (2007) J. Comput. Appl. Math. , vol.207 , Issue.1 , pp. 73-91
    • Abassy, T.A.1    El-Tawel, M.A.2    El-Zoheiry, H.3
  • 20
    • 32644457439 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations
    • Bildik N and Konuralp A 2006 The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations Int. J. Nonlinear Sci. Numer. Simul. 7 65-70
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 21
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J H 1998 Approximate analytical solution for seepage flow with fractional derivatives in porous media Comput. Meth. Appl. Mech. Eng. 167 57-68
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.167 , Issue.1-2 , pp. 57-68
    • He, J.H.1
  • 22
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He J H 1998 Approximate solution of nonlinear differential equations with convolution product nonlinearities Comput. Meth. Appl. Mech. Eng. 167 69-73
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.167 , Issue.1-2 , pp. 69-73
    • He, J.H.1
  • 23
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: Some examples
    • He J H 1999 Variational iteration method-a kind of non-linear analytical technique: some examples Int. J. Nonlinear Mech. 34 699-708
    • (1999) Int. J. Nonlinear Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 24
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J H 2000 Variational iteration method for autonomous ordinary differential systems J. Comput. Appl. Math. 114 115-23
    • (2000) J. Comput. Appl. Math. , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 25
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variable coefficients
    • He J H 2004 Variational principles for some nonlinear partial differential equations with variable coefficients Chaos Solitons Fractals 19 847-51
    • (2004) Chaos Solitons Fractals , vol.19 , Issue.4 , pp. 847-851
    • He, J.H.1
  • 26
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J H and Wu X H 2006 Construction of solitary solution and compacton-like solution by variational iteration method Chaos Solitons Fractals 29 108-13
    • (2006) Chaos Solitons Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 27
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J H 2006 Some asymptotic methods for strongly nonlinear equations Int. J. Mod. Phys. B 20 1141-99
    • (2006) Int. J. Mod. Phys. , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 28
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method-Some recent results and new interpretions
    • He J H 2007 Variational iteration method-Some recent results and new interpretions J. Comput. Appl. Math. 207 3-17
    • (2007) J. Comput. Appl. Math. , vol.207 , Issue.1 , pp. 3-17
    • He, J.H.1
  • 29
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Odibat Z M and Momani S 2006 Application of variational iteration method to nonlinear differential equations of fractional order Int. J. Nonlinear Sci. Numer. Simul. 7 27-34
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2
  • 30
    • 27144479426 scopus 로고    scopus 로고
    • Traveling wave solutions of generalized forms of Burgers-KdV and Burgers-Huxley equations.
    • Wazwaz A-M 2005 Traveling wave solutions of generalized forms of Burgers-KdV and Burgers-Huxley equations. J. Appl. Math. Comput. 169 639-56
    • (2005) J. Appl. Math. Comput. , vol.169 , Issue.1 , pp. 639-656
    • Wazwaz, A.-M.1
  • 31
    • 9644280990 scopus 로고    scopus 로고
    • Variational principles for nonlinear fiber optics
    • Zhang J, JY Y and Pan N 2005 Variational principles for nonlinear fiber optics Chaos Solitions Fractals 24 309-11
    • (2005) Chaos Solitions Fractals , vol.24 , Issue.1 , pp. 309-311
    • Zhang, J.1    Yu, Y.J.2    Pan, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.