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Volumn 58, Issue 11-12, 2009, Pages 2124-2130

Finding general and explicit solutions of high nonlinear equations by the Exp-Function method

Author keywords

Coupled Klein Gordon Schr dinger (KGS) equations; Davey Stewartson equation; Exp Function method; Homogeneous nonlinear convection diffusion problem

Indexed keywords

APPROXIMATE SOLUTION; DAVEY-STEWARTSON EQUATION; DAVEY-STEWARTSON EQUATIONS; ENGINEERING MATHEMATICS; EXP-FUNCTION METHOD; EXPLICIT SOLUTIONS; HOMOGENEOUS NONLINEAR CONVECTION-DIFFUSION PROBLEM; KLEIN-GORDON; NONLINEAR CONVECTION;

EID: 70350564870     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.03.005     Document Type: Article
Times cited : (15)

References (20)
  • 2
    • 0037121825 scopus 로고    scopus 로고
    • Applications of the Jacobi elliptic function method to special-type nonlinear equations
    • Fan E., and Zhang J. Applications of the Jacobi elliptic function method to special-type nonlinear equations. Phys. Lett. A 305 (2002) 383-392
    • (2002) Phys. Lett. A , vol.305 , pp. 383-392
    • Fan, E.1    Zhang, J.2
  • 3
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbation method
    • He J.H. Asymptotology by homotopy perturbation method. Appl. Math. Comput. 156 (2004) 591-596
    • (2004) Appl. Math. Comput. , vol.156 , pp. 591-596
    • He, J.H.1
  • 4
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 (2000) 115-123
    • (2000) Appl. Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 5
    • 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. Appl. Math. Comput. 156 (2004) 527-539
    • (2004) Appl. Math. Comput. , vol.156 , pp. 527-539
    • He, J.H.1
  • 6
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He J.H. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. Internat. J. Non-Linear Mech. 35 (2000) 37-43
    • (2000) Internat. J. Non-Linear Mech. , vol.35 , pp. 37-43
    • He, J.H.1
  • 7
    • 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 Fractals 26 (2005) 695-700
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 8
    • 4344696077 scopus 로고    scopus 로고
    • Homotopy perturbation method: a new nonlinear analytical technique
    • He J.H. Homotopy perturbation method: a new nonlinear analytical technique. Appl. Math. Comput. 156 (2004) 591-596
    • (2004) Appl. Math. Comput. , vol.156 , pp. 591-596
    • He, J.H.1
  • 9
    • 34748862326 scopus 로고    scopus 로고
    • Solitary solutions periodic solutions and compacton-like solutions using EXP-function method
    • Wu H.X., and He J.H. Solitary solutions periodic solutions and compacton-like solutions using EXP-function method. Comput. Math. Appl. 54 7-8 (2007) 966-986
    • (2007) Comput. Math. Appl. , vol.54 , Issue.7-8 , pp. 966-986
    • Wu, H.X.1    He, J.H.2
  • 10
    • 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
  • 11
    • 38649132547 scopus 로고    scopus 로고
    • Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
    • He J.H., and Zhang L.-N. Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method. Phys. Lett. A 372 7 (2008) 1044-1047
    • (2008) Phys. Lett. A , vol.372 , Issue.7 , pp. 1044-1047
    • He, J.H.1    Zhang, L.-N.2
  • 13
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method and its application to nonlinear equations
    • Wu H.X., and He J.H. Exp-function method and its application to nonlinear equations. Chaos Solitants Fractals 30 3 (2006) 700-708
    • (2006) Chaos Solitants Fractals , vol.30 , Issue.3 , pp. 700-708
    • Wu, H.X.1    He, J.H.2
  • 14
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solutions for nonlinear evolution equations using Exp-function method
    • He J.H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Solitants Fractals 34 (2007) 1421-1429
    • (2007) Chaos Solitants Fractals , vol.34 , pp. 1421-1429
    • He, J.H.1    Abdou, M.A.2
  • 15
    • 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. Numer. Simul. 8 3 (2007) 461-464
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.3 , pp. 461-464
    • Zhu, S.D.1
  • 16
    • 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. Numer. Simul. 8 3 (2007) 465-468
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.3 , pp. 465-468
    • Zhu, S.D.1
  • 17
    • 41849090442 scopus 로고    scopus 로고
    • Application of Exp-function method to high-dimensional nonlinear evolution equation
    • Zhang S. Application of Exp-function method to high-dimensional nonlinear evolution equation. Chaos Solitons Fractals 38 1 (2008) 270-276
    • (2008) Chaos Solitons Fractals , vol.38 , Issue.1 , pp. 270-276
    • Zhang, S.1
  • 18
    • 0242286702 scopus 로고    scopus 로고
    • The periodic wave solutions for the Klein-Gordon-Schrödinger equations
    • Wang M., and Zhou Y. The periodic wave solutions for the Klein-Gordon-Schrödinger equations. Phys. Lett. A 318 (2003) 84-92
    • (2003) Phys. Lett. A , vol.318 , pp. 84-92
    • Wang, M.1    Zhou, Y.2
  • 19
    • 34047158626 scopus 로고    scopus 로고
    • An algorithm for solving the fractional convection-diffusion equation with nonlinear source term
    • Momani S. An algorithm for solving the fractional convection-diffusion equation with nonlinear source term. Commun. Nonlinear Sci. Numer. Simul. 12 (2007) 1283-1290
    • (2007) Commun. Nonlinear Sci. Numer. Simul. , vol.12 , pp. 1283-1290
    • Momani, S.1
  • 20
    • 57649083121 scopus 로고    scopus 로고
    • Z.Z. Ganji, D.D. Ganji, H. Barania, Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method, Appl. Math. Modelling, doi:10.1016/j.apm.2008.03.005
    • Z.Z. Ganji, D.D. Ganji, H. Barania, Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method, Appl. Math. Modelling, doi:10.1016/j.apm.2008.03.005


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.