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Volumn 5, Issue 1, 2009, Pages 38-44

Soliton solution of the Kadomtse-Petviashvili equation by homotopy perturbation method

Author keywords

Homotopy perturbation method; Kadomtsev Petviashvili equation; Soliton solution

Indexed keywords


EID: 65549127704     PISSN: 17467233     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (33)
  • 1
    • 31144479330 scopus 로고    scopus 로고
    • Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
    • S. Abbasbandy. Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method. Appl. Math. Comput, 2006, 172: 485-490.
    • (2006) Appl. Math. Comput , vol.172 , pp. 485-490
    • Abbasbandy, S.1
  • 2
    • 33644885770 scopus 로고    scopus 로고
    • Iterated he's homotopy perturbation method for quadratic riccati differential equation
    • S. Abbasbandy. Iterated he's homotopy perturbation method for quadratic riccati differential equation. Appl. Math. Comput, 2006, 175: 581-589.
    • (2006) Appl. Math. Comput , vol.175 , pp. 581-589
    • Abbasbandy, S.1
  • 3
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • M. Abdou, Soliman. Variational iteration method for solving Burger's and coupled Burger's equations. J. Comput. Appl. Math, 2005, 181: 245-251.
    • (2005) J. Comput. Appl. Math , vol.181 , pp. 245-251
    • Abdou, M.1    Soliman2
  • 4
    • 22944466379 scopus 로고    scopus 로고
    • Approximate analytical solution of fourth order boundary value problems
    • W. Al-Hayani, L. Casass. Approximate analytical solution of fourth order boundary value problems. Numerical Algorithms, 2005, 40: 67-78.
    • (2005) Numerical Algorithms , vol.40 , pp. 67-78
    • Al-Hayani, W.1    Casass, L.2
  • 5
    • 0031680856 scopus 로고    scopus 로고
    • An explicit finite difference scheme for the solution of kadomtsev-petviashvili
    • A. Bratsos, Twizell. An explicit finite difference scheme for the solution of kadomtsev-petviashvili. Int. J. Comput. Math, 1998, 68: 175-187.
    • (1998) Int. J. Comput. Math , vol.68 , pp. 175-187
    • Bratsos, A.1    Twizell2
  • 6
    • 65549159546 scopus 로고    scopus 로고
    • P. Bullogn. Caudrey, Solitons. Springer, Berlin, 1980.
    • P. Bullogn. Caudrey, Solitons. Springer, Berlin, 1980.
  • 8
    • 0019241426 scopus 로고
    • Soliton intractions in two dimensions
    • N. Freeman. Soliton intractions in two dimensions. Adv. Appl. Mech, 1980, 20: 1-37.
    • (1980) Adv. Appl. Mech , vol.20 , pp. 1-37
    • Freeman, N.1
  • 9
    • 77952262883 scopus 로고
    • Soliton solutions of non-linear evolution equations
    • N. Freeman. Soliton solutions of non-linear evolution equations. IMA J. Appl. Math, 1984, 32: 125-145.
    • (1984) IMA J. Appl. Math , vol.32 , pp. 125-145
    • Freeman, N.1
  • 10
    • 33646893481 scopus 로고    scopus 로고
    • The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
    • D. Ganji. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer. Phys Lett A, 2006, 335: 337-41.
    • (2006) Phys Lett A , vol.335 , pp. 337-341
    • Ganji, D.1
  • 11
    • 33144478462 scopus 로고    scopus 로고
    • Assessment of homotopy-perturbation and perturbation methods in heat radiation equations
    • D. Ganji, Rajabi. Assessment of homotopy-perturbation and perturbation methods in heat radiation equations. Internat. Comm. Heat Mass Transfer, 2006, 33: 391-400.
    • (2006) Internat. Comm. Heat Mass Transfer , vol.33 , pp. 391-400
    • Ganji, D.1    Rajabi2
  • 12
    • 33748919061 scopus 로고    scopus 로고
    • Application of He's Homotopy-prturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations
    • D. Ganji, Sadighi. Application of He's Homotopy-prturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations. Int. J. Nonl. Sci. and Num. Simu, 2006, 7: 411-418.
    • (2006) Int. J. Nonl. Sci. and Num. Simu , vol.7 , pp. 411-418
    • Ganji, D.1    Sadighi2
  • 13
    • 0001353778 scopus 로고
    • The Kadomtsev-Petviashvili equation: An alternative approach to the rank two solutions of Krichever and Notikov
    • F. Grnbaum. The Kadomtsev-Petviashvili equation: an alternative approach to the rank two solutions of Krichever and Notikov. Phys. Lett. A, 1989, 139: 146-150.
    • (1989) Phys. Lett. A , vol.139 , pp. 146-150
    • Grnbaum, F.1
  • 14
    • 2442526691 scopus 로고    scopus 로고
    • Homotopy analysis of mhd flows of an oldroyd 8-constant fluid
    • T. Hayat, M. Khan, S. Asghar. Homotopy analysis of mhd flows of an oldroyd 8-constant fluid. Acta Mech, 2004, 168: 213-32.
    • (2004) Acta Mech , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 16
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: Some examples
    • J. He. Variational iteration method-a kind of non-linear analytical technique: some examples. Internat. J. Nonlinear Mech, 1999, 34: 699-708.
    • (1999) Internat. J. Nonlinear Mech , vol.34 , pp. 699-708
    • He, J.1
  • 17
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J. He. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation, 2000, 114: 115-123.
    • (2000) Applied Mathematics and Computation , vol.114 , pp. 115-123
    • He, J.1
  • 18
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbation method
    • J. He. Asymptotology by homotopy perturbation method. Applied Mathematics and Computation, 2004, 156: 591-596.
    • (2004) Applied Mathematics and Computation , vol.156 , pp. 591-596
    • He, J.1
  • 19
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation method and homotopy analysis method
    • J. He. Comparison of homotopy perturbation method and homotopy analysis method. Applied Mathematics and Computation, 2004, 156: 527-539.
    • (2004) Applied Mathematics and Computation , vol.156 , pp. 527-539
    • He, J.1
  • 20
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • J. He. 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.1
  • 22
    • 18844391045 scopus 로고    scopus 로고
    • Limit cycle and bifurcation of nonlinear problems
    • J. He. Limit cycle and bifurcation of nonlinear problems. Chaos, Solitons and Fractals, 2005, 26: 827-833.
    • (2005) Chaos, Solitons and Fractals , vol.26 , pp. 827-833
    • He, J.1
  • 24
    • 0000262859 scopus 로고
    • On the stability of solitary waves in weakly dispersive media
    • B. Kadomtsev, Petviashvili. On the stability of solitary waves in weakly dispersive media. Sov. Phys. Dokl, 1970, 15: 539-541.
    • (1970) Sov. Phys. Dokl , vol.15 , pp. 539-541
    • Kadomtsev, B.1    Petviashvili2
  • 25
    • 84956211082 scopus 로고
    • Holomorphic bundles over algebraic curve and nonlinear equations
    • I. Krichever, Novikov. Holomorphic bundles over algebraic curve and nonlinear equations. Russ. Math. Surv, 1980, 35: 53-64.
    • (1980) Russ. Math. Surv , vol.35 , pp. 53-64
    • Krichever, I.1    Novikov2
  • 26
    • 0025209238 scopus 로고
    • Solutions of the KP equation associated to rank-three commuting differential operators over a singular elliptic curve
    • G. Latham. Solutions of the KP equation associated to rank-three commuting differential operators over a singular elliptic curve. Physica D, 1990, 41: 55-66.
    • (1990) Physica D , vol.41 , pp. 55-66
    • Latham, G.1
  • 27
    • 0142062919 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problems
    • B. Liu. Positive solutions of fourth-order two point boundary value problems. Appl. Math. Comput, 2004, 148: 407-420.
    • (2004) Appl. Math. Comput , vol.148 , pp. 407-420
    • Liu, B.1
  • 28
    • 33745965279 scopus 로고    scopus 로고
    • Explicit solutions of helmholtz equation and fifth-order kdv equation using homotopy-perturbation method
    • M. Rafei, Ganji. Explicit solutions of helmholtz equation and fifth-order kdv equation using homotopy-perturbation method. Int. J. Nonl. Sci. and Num. Simu, 2006, 7: 321-328.
    • (2006) Int. J. Nonl. Sci. and Num. Simu , vol.7 , pp. 321-328
    • Rafei, M.1    Ganji2
  • 29
    • 32644462966 scopus 로고    scopus 로고
    • A. Siddiqui, R. Mahmood, Q. Ghori. Thin film flow of a third grade fluid on a moving belt by he's homotopy perturbation method. Internat J. Nonlinear Sci., 2006, 7(1): 7-14.
    • A. Siddiqui, R. Mahmood, Q. Ghori. Thin film flow of a third grade fluid on a moving belt by he's homotopy perturbation method. Internat J. Nonlinear Sci., 2006, 7(1): 7-14.
  • 30
    • 33748578650 scopus 로고    scopus 로고
    • Variational iteration method for one dimensional nonlinear thermoelasticity
    • N. Sweilam, M. Khader. Variational iteration method for one dimensional nonlinear thermoelasticity. Chaos Soliton Fract, 2007, 32: 145-149.
    • (2007) Chaos Soliton Fract , vol.32 , pp. 145-149
    • Sweilam, N.1    Khader, M.2
  • 31
    • 65349120972 scopus 로고    scopus 로고
    • A comparison between the variational iteration method and adomian decomposition method
    • In press
    • A. Wazwaz. A comparison between the variational iteration method and adomian decomposition method. Comput. Appl. Math, 2006. In press.
    • (2006) Comput. Appl. Math
    • Wazwaz, A.1
  • 32
    • 65349103318 scopus 로고    scopus 로고
    • The variational iteration method for rational solutions for KdV, K(2, 2), Burgers, and cubic Boussinesq equations
    • In press
    • A. Wazwaz. The variational iteration method for rational solutions for KdV, K(2, 2), Burgers, and cubic Boussinesq equations. J. Comput. Appl. Math, 2006. In press.
    • (2006) J. Comput. Appl. Math
    • Wazwaz, A.1
  • 33
    • 33751528556 scopus 로고    scopus 로고
    • Homotopy perturbation method for the solution of the electrostatic potential differential equation
    • L. Zhang, J. He. Homotopy perturbation method for the solution of the electrostatic potential differential equation. Mathematical Problems in Engineering, 2006, (83878).
    • (2006) Mathematical Problems in Engineering , pp. 83878
    • Zhang, L.1    He, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.