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Volumn 10, Issue 3, 2009, Pages 1939-1941

Variational approach to the Benjamin Ono equation

Author keywords

Benjamin Ono equation; He's semi inverse method; Variational principle

Indexed keywords

INVERSE PROBLEMS; VARIATIONAL TECHNIQUES;

EID: 60549103777     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.02.031     Document Type: Article
Times cited : (22)

References (26)
  • 1
    • 0036885448 scopus 로고    scopus 로고
    • On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
    • Mari M. On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation. Nonlinear Anal. 51 (2002) 1073-1085
    • (2002) Nonlinear Anal. , vol.51 , pp. 1073-1085
    • Mari, M.1
  • 2
    • 34748862326 scopus 로고    scopus 로고
    • Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
    • Wu X.H., and He J.H. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Comput. Math. Appl. 54 (2007) 966-986
    • (2007) Comput. Math. Appl. , vol.54 , pp. 966-986
    • Wu, X.H.1    He, J.H.2
  • 3
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method - Some recent results and new interpretations
    • He J.H. Variational iteration method - Some recent results and new interpretations. J. Comput. Appl. Math. 207 (2007) 3-17
    • (2007) J. Comput. Appl. Math. , vol.207 , pp. 3-17
    • He, J.H.1
  • 4
    • 36248955605 scopus 로고    scopus 로고
    • Application of the variational iteration method to the boundary value problems with jump discontinuities arising in solid mechanics
    • Ozer H. Application of the variational iteration method to the boundary value problems with jump discontinuities arising in solid mechanics. Int. J. Nonlinear Sci. 8 (2007) 513-518
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 513-518
    • Ozer, H.1
  • 5
    • 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., and Rostamian M. Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method. Int. J. Nonlinear Sci. 8 (2007) 203-210
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 203-210
    • Tari, H.1    Ganji, D.D.2    Rostamian, M.3
  • 6
    • 34249883978 scopus 로고    scopus 로고
    • Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations
    • Yusufoglu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int. J. Nonlinear Sci. 8 (2007) 153-158
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 153-158
    • Yusufoglu, E.1
  • 7
    • 34548562006 scopus 로고    scopus 로고
    • Title: He's variational iteration method for solving hyperbolic differential equations
    • Biazar J., and Ghazvini H. Title: He's variational iteration method for solving hyperbolic differential equations. Int. J. Nonlinear Sci. 8 (2007) 311-314
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 311-314
    • Biazar, J.1    Ghazvini, H.2
  • 8
    • 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. 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. 7 (2006) 65-70
    • (2006) Int. J. Nonlinear Sci. , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 9
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to Nonlinear differential equations of fractional order
    • Odibat Z.M., and Momani S. Application of variational iteration method to Nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. 7 (2006) 27-34
    • (2006) Int. J. Nonlinear Sci. , vol.7 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2
  • 10
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • He J.H. New interpretation of homotopy perturbation method. Internat J. Modern Phys. B 20 (2006) 2561-2568
    • (2006) Internat J. Modern Phys. B , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 11
    • 34548570369 scopus 로고    scopus 로고
    • Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods
    • Sadighi A., and Ganji D.D. Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods. Int. J. Nonlinear Sci. 8 (2007) 435-443
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 435-443
    • Sadighi, A.1    Ganji, D.D.2
  • 12
    • 34249996463 scopus 로고    scopus 로고
    • Application of parameter-expanding method to strongly nonlinear oscillators
    • Shou D.H., and He J.H. Application of parameter-expanding method to strongly nonlinear oscillators. Int. J. Nonlinear Sci. 8 (2007) 121-124
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 121-124
    • Shou, D.H.1    He, J.H.2
  • 13
    • 34548590668 scopus 로고    scopus 로고
    • New application of He's homotopy perturbation method
    • Gorji M., Ganji D.D., and Soleimani S. New application of He's homotopy perturbation method. Int. J. Nonlinear Sci. 8 (2007) 319-328
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 319-328
    • Gorji, M.1    Ganji, D.D.2    Soleimani, S.3
  • 14
    • 33748919061 scopus 로고    scopus 로고
    • Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations
    • Ganji D.D., and Sadighi A. Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations. Int. J. Nonlinear Sci. 7 (2006) 411-418
    • (2006) Int. J. Nonlinear Sci. , vol.7 , pp. 411-418
    • Ganji, D.D.1    Sadighi, A.2
  • 15
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 (2006) 700-708
    • (2006) Chaos Solitons Fractals , vol.30 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 16
    • 34548577315 scopus 로고    scopus 로고
    • Exp-function method for the Hybrid-Lattice system
    • Zhu S.D. Exp-function method for the Hybrid-Lattice system. Int. J. Nonlinear Sci. 8 (2007) 461-464
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 461-464
    • Zhu, S.D.1
  • 17
    • 34548577316 scopus 로고    scopus 로고
    • Exp-function method for the discrete mKdV lattice
    • Zhu S.D. Exp-function method for the discrete mKdV lattice. Int. J. Nonlinear Sci. 8 (2007) 465-468
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 465-468
    • Zhu, S.D.1
  • 18
    • 36248983300 scopus 로고    scopus 로고
    • Exact solutions for a class of nonlinear partial differential equations using exp-function method
    • Bekir A., and Boz A. Exact solutions for a class of nonlinear partial differential equations using exp-function method. Int. J. Nonlinear Sci. 8 (2007) 505-512
    • (2007) Int. J. Nonlinear Sci. , vol.8 , pp. 505-512
    • Bekir, A.1    Boz, A.2
  • 19
    • 33645972898 scopus 로고    scopus 로고
    • Some Asymptotic Methods for Strongly Nonlinear Equations
    • He J.H. Some Asymptotic Methods for Strongly Nonlinear Equations. Internat J. Modern Phys. B 20 10 (2006) 1141-1199
    • (2006) Internat J. Modern Phys. B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 20
    • 60549083265 scopus 로고    scopus 로고
    • J.H. He, Non-perturbative methods for strongly nonlinear problems, Berlin: dissertation.de-Verlag im Internet GmbH, 2006
    • J.H. He, Non-perturbative methods for strongly nonlinear problems, Berlin: dissertation.de-Verlag im Internet GmbH, 2006
  • 21
    • 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 Fractals 19 4 (2004) 847-851
    • (2004) Chaos Solitons Fractals , vol.19 , Issue.4 , pp. 847-851
    • He, J.H.1
  • 22
    • 38349098798 scopus 로고    scopus 로고
    • Variational approach to the inviscid compressible fluid
    • Tao Z.L. Variational approach to the inviscid compressible fluid. Acta Appl. Math. 100 (2008) 291-294
    • (2008) Acta Appl. Math. , vol.100 , pp. 291-294
    • Tao, Z.L.1
  • 23
    • 26444442005 scopus 로고    scopus 로고
    • Determination of limit cycles for a modified van der Pol oscillator
    • D'Acunto M. Determination of limit cycles for a modified van der Pol oscillator. Mech. Res. Commun. 33 1 (2006) 93-98
    • (2006) Mech. Res. Commun. , vol.33 , Issue.1 , pp. 93-98
    • D'Acunto, M.1
  • 24
    • 33745146914 scopus 로고    scopus 로고
    • Self-excited systems: Analytical determination of limit cycles
    • D'Acunto M. Self-excited systems: Analytical determination of limit cycles. Chaos Solitons Fractals 30 3 (2006) 719-724
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.3 , pp. 719-724
    • D'Acunto, M.1
  • 25
    • 34748888870 scopus 로고    scopus 로고
    • Application of He's semi-inverse method to the nonlinear Schrödinger equation
    • Öziş T., and Yi{dotless}ldi{dotless}ri{dotless}m A. Application of He's semi-inverse method to the nonlinear Schrödinger equation. Comput. Math. Appl. 54 (2007) 1039-1042
    • (2007) Comput. Math. Appl. , vol.54 , pp. 1039-1042
    • Öziş, T.1    Yildirim, A.2
  • 26
    • 34748816175 scopus 로고    scopus 로고
    • Variational approach to solitary wave solution of the generalized Zakharov equation
    • Zhang J. Variational approach to solitary wave solution of the generalized Zakharov equation. Comput. Math. Appl. 54 (2007) 1043-1046
    • (2007) Comput. Math. Appl. , vol.54 , pp. 1043-1046
    • Zhang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.