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Volumn 21, Issue 7, 2011, Pages 822-827

Numerical soliton solutions of improved Boussinesq equation

Author keywords

Homotopy perturbation method; Improved Boussinesq equation; Numerical analysis; Solutions

Indexed keywords

APPROXIMATE SOLUTION; COMPUTABLE COMPONENTS; DESIGN/METHODOLOGY/APPROACH; HOMOTOPY PERTURBATION METHOD; IMPROVED BOUSSINESQ EQUATION; NUMERICAL RESULTS; POWER SERIES; SOLITON SOLUTIONS;

EID: 80053508373     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615531111162800     Document Type: Article
Times cited : (50)

References (21)
  • 1
    • 0001703311 scopus 로고    scopus 로고
    • Some examples of inelastic soliton interaction
    • Bogolubsky, I.L. (1997), "Some examples of inelastic soliton interaction", Comput. Phys. Commun., Vol. 13, pp. 149-55.
    • (1997) Comput. Phys. Commun. , vol.13 , pp. 149-55
    • Bogolubsky, I.L.1
  • 2
    • 0001681902 scopus 로고
    • Théorie de Iintumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire
    • Boussinesq, J. (1871), "Théorie de Iintumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire", Comptes Rendus, Vol. 72, pp. 755-9.
    • (1871) Comptes Rendus , vol.72 , pp. 755-9
    • Boussinesq, J.1
  • 3
    • 0036680926 scopus 로고    scopus 로고
    • Numerical study of the improved Boussinesq equation
    • DOI 10.1016/S0960-0779(00)00271-X, PII S096007790000271X
    • El-Zoheiry, H. (2002), "Numerical study of the improved Boussinesq equation", Chaos, Solitons & Fractals, Vol. 14, pp. 377-84. (Pubitemid 34182460)
    • (2002) Chaos, Solitons and Fractals , vol.14 , Issue.3 , pp. 377-384
    • El-Zoheiry, H.1
  • 4
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He, J.H. (1999), "Homotopy perturbation technique", Comput. Methods Appl. Mech. Engrg., Vol. 178, pp. 257-62.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.178 , pp. 257-62
    • He, J.H.1
  • 5
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He, J.H. (2000), "A coupling method of a homotopy technique and a perturbation technique for non-linear problems", Internat. J. Non-Linear Mech., Vol. 35, pp. 37-43.
    • (2000) Internat. J. Non-Linear Mech. , vol.35 , pp. 37-43
    • He, J.H.1
  • 6
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • He, J.H. (2006a), "New interpretation of homotopy perturbation method", International Journal of Modern Physics B, Vol. 20, p. 2561.
    • (2006) International Journal of Modern Physics B , vol.20 , pp. 2561
    • He, J.H.1
  • 7
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He, J.H. (2006b), "Some asymptotic methods for strongly nonlinear equations", International Journal of Modern Physics B, Vol. 20, p. 1141.
    • (2006) International Journal of Modern Physics B , vol.20 , pp. 1141
    • He, J.H.1
  • 8
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
    • He, J.H. (2008a), "An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering", International Journal of Modern Physics B, Vol. 22, p. 3487.
    • (2008) International Journal of Modern Physics B , vol.22 , pp. 3487
    • He, J.H.1
  • 9
    • 50949124409 scopus 로고    scopus 로고
    • Recent development of the homotopy perturbation method
    • He, J.H. (2008b), "Recent development of the homotopy perturbation method", Topological Methods in Nonlinear Analysis, Vol. 31, p. 205.
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , pp. 205
    • He, J.H.1
  • 10
    • 26844555700 scopus 로고    scopus 로고
    • A different approach for soliton solution of the improved Boussinesq equation
    • DOI 10.1080/00207160310001650053
    • Inc, M. and Evans, D.J. (2004), "A different approach for soliton solution of the improved Boussinesq equation", International Journal of Computer Mathematics, Vol. 81, pp. 313-23. (Pubitemid 41710437)
    • (2004) International Journal of Computer Mathematics , vol.81 , Issue.3 , pp. 313-323
    • Inc, M.1    Evans, D.J.2
  • 11
    • 0008570728 scopus 로고
    • Numerical solutions of the improved Boussinesq equation
    • Iskandar, L. and Jain, P.C. (1980), "Numerical solutions of the improved Boussinesq equation", Proc. Indian Acad. Sci., Vol. 89, pp. 171-81.
    • (1980) Proc. Indian Acad. Sci. , vol.89 , pp. 171-81
    • Iskandar, L.1    Jain, P.C.2
  • 12
    • 33846688136 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving fourth-order boundary value problems
    • (Article ID 98602)
    • Mohyud-Din, S.T. and Noor, M.A. (2007), "Homotopy perturbation method for solving fourth-order boundary value problems", Math. Prob. Eng., pp. 1-15 (Article ID 98602).
    • (2007) Math. Prob. Eng. , pp. 1-15
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 13
    • 68949146686 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving partial differential equations
    • Mohyud-Din, S.T. and Noor, M.A. (2009a), "Homotopy perturbation method for solving partial differential equations", Zeitschrift für Naturforschung A, Vol. 64a, pp. 157-70.
    • (2009) Zeitschrift für Naturforschung A , vol.64 , pp. 157-70
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 14
    • 79952432949 scopus 로고    scopus 로고
    • Solving second-order singular problems using Hes polynomials
    • Mohyud-Din, S.T. and Noor, M.A. (2009b), "Solving second-order singular problems using Hes polynomials", Wd. Appl. Sci. J, Vol. 6 No. 6, pp. 769-75.
    • (2009) Wd. Appl. Sci. J , vol.6 , Issue.6 , pp. 769-75
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 15
    • 68949122726 scopus 로고    scopus 로고
    • Some relatively new techniques for nonlinear problems
    • (Article ID 234849)
    • Mohyud-Din, S.T., Noor, M.A. and Noor, K.I. (2009a), "Some relatively new techniques for nonlinear problems", Math. Prob. Eng, p. 25 (Article ID 234849).
    • (2009) Math. Prob. Eng , pp. 25
    • Mohyud-Din, S.T.1    Noor, M.A.2    Noor, K.I.3
  • 16
    • 65349085836 scopus 로고    scopus 로고
    • Travelling wave solutions of seventh-order generalized KdV equations using Hes polynomials
    • Mohyud-Din, S.T., Noor, M.A. and Noor, K.I. (2009b), "Travelling wave solutions of seventh-order generalized KdV equations using Hes polynomials", Int. J. Nonlin. Sci. Num. Simul., Vol. 10 No. 2, pp. 223-9.
    • (2009) Int. J. Nonlin. Sci. Num. Simul. , vol.10 , Issue.2 , pp. 223-9
    • Mohyud-Din, S.T.1    Noor, M.A.2    Noor, K.I.3
  • 18
    • 33845572723 scopus 로고    scopus 로고
    • An efficient algorithm for solving fifth-order boundary value problems
    • DOI 10.1016/j.mcm.2006.09.004, PII S089571770600330X
    • Noor, M.A. and Mohyud-Din, S.T. (2007), "An efficient algorithm for solving fifth order boundary value problems", Math. Comput. Model., Vol. 45, pp. 954-64. (Pubitemid 44937556)
    • (2007) Mathematical and Computer Modelling , vol.45 , Issue.7-8 , pp. 954-964
    • Aslam Noor, M.1    Mohyud-Din, S.T.2
  • 19
    • 43749107936 scopus 로고    scopus 로고
    • Variational iteration method for solving higher-order nonlinear boundary value problems using Hes polynomials
    • Noor, M.A. and Mohyud-Din, S.T. (2008), "Variational iteration method for solving higher-order nonlinear boundary value problems using Hes polynomials", Int. J. Nonlin. Sci. Num. Simul., Vol. 9 No. 2, pp. 141-57.
    • (2008) Int. J. Nonlin. Sci. Num. Simul. , vol.9 , Issue.2 , pp. 141-57
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 20
    • 55649112486 scopus 로고    scopus 로고
    • Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
    • Yildirim, A. (2008a), "Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method", Computers & Mathematics with Applications, Vol. 56, pp. 3175-80.
    • (2008) Computers & Mathematics with Applications , vol.56 , pp. 3175-80
    • Yildirim, A.1
  • 21
    • 58449094572 scopus 로고    scopus 로고
    • The homotopy perturbation method for approximate solution of the modified KdV equation
    • Yildirim, A. (2008b), "The homotopy perturbation method for approximate solution of the modified KdV equation", Zeitschrift für Naturforschung A - A Journal of Physical Sciences, Vol. 63a, pp. 621-6.
    • (2008) Zeitschrift für Naturforschung A - A Journal of Physical Sciences , vol.63 , pp. 621-6
    • Yildirim, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.