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Volumn 16, Issue 1, 2011, Pages 258-266

Exp-function method for solving nonlinear evolution equations

Author keywords

2 D bratu type equation; Exp function method; Generalized fisher equation; Symbolic computation

Indexed keywords

FUNCTIONS; MATLAB; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 79251510262     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca16010258     Document Type: Article
Times cited : (43)

References (25)
  • 1
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • W. Malfliet, Solitary wave solutions of nonlinear wave equations, American Journal of Physics 60, 650-654, 1992.
    • (1992) American Journal of Physics , vol.60 , pp. 650-654
    • Malfliet, W.1
  • 2
    • 33747348716 scopus 로고    scopus 로고
    • New exact travelling wave solutions using modified extended tanh-function method
    • S. A. El-Wakil and M. A. Abdou, New exact travelling wave solutions using modified extended tanh-function method, Chaos, Solitons and Fractals 31, 840-852, 2007.
    • (2007) Chaos, Solitons and Fractals , vol.31 , pp. 840-852
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 3
    • 5644292150 scopus 로고    scopus 로고
    • The sine-cosine method for obtaining solutions with compact and noncompact structures
    • A. M. Wazwaz, The sine-cosine method for obtaining solutions with compact and noncompact structures, Applied Mathematics and Computation 159, 559-576, 2004.
    • (2004) Applied Mathematics and Computation , vol.159 , pp. 559-576
    • Wazwaz, A.M.1
  • 4
    • 4344673183 scopus 로고    scopus 로고
    • A note on the homogenous balance method
    • E. Fan and H. Zhand, A note on the homogenous balance method, Physics Letters A 246, 403-406, 1998.
    • (1998) Physics Letters A , vol.246 , pp. 403-406
    • Fan, E.1    Zhand, H.2
  • 5
    • 24344489016 scopus 로고    scopus 로고
    • Jacobian elliptic function method for nonlinear differential-difference equation
    • C. Q. Dai and J. F. Zhang, Jacobian elliptic function method for nonlinear differential-difference equation, Chaos Solitons and Fractals 27, 1042-1047, 2006.
    • (2006) Chaos Solitons and Fractals , vol.27 , pp. 1042-1047
    • Dai, C.Q.1    Zhang, J.F.2
  • 6
    • 33745810605 scopus 로고    scopus 로고
    • The extended F-expansion method and its applications for a class of nonlinear evolution equations
    • M. A. Abdou, The extended F-expansion method and its applications for a class of nonlinear evolution equations, Chaos, Solitons and Fractals 31, 95-104, 2007.
    • (2007) Chaos, Solitons and Fractals , vol.31 , pp. 95-104
    • Abdou, M.A.1
  • 7
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos, Solitons and Fractals 26, 695-700, 2005.
    • (2005) Chaos, Solitons and Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 8
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compaction-like solution solution by variational iteration method
    • J. H. He and X. H. Wu, Construction of solitary solution and compaction-like solution solution by variational iteration method, Chaos Solitons and Fractals 29, 108-113, 2006.
    • (2006) Chaos Solitons and Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 9
    • 35949040541 scopus 로고
    • Exact solution of the KdV equation for multiple collisions of solitons
    • R. Hirota, Exact solution of the KdV equation for multiple collisions of solitons, Physical Review Letters 27, 1192-1194, 1971.
    • (1971) Physical Review Letters , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 10
    • 0041917213 scopus 로고    scopus 로고
    • Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
    • M. Y. Tang, R. Q. Wang, and Z. J. Jing, Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity, Science in China Series A 45, 1255-1267, 2002.
    • (2002) Science in China Series A , vol.45 , pp. 1255-1267
    • Tang, M.Y.1    Wang, R.Q.2    Jing, Z.J.3
  • 11
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • J. H. He and X. H. Wu, Exp-function method for nonlinear wave equations. Chaos Solitons and Fractals 30, 700-708, 2006.
    • (2006) Chaos Solitons and Fractals , vol.30 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 14
    • 73449133326 scopus 로고    scopus 로고
    • Application of the Exp-function method for nonlinear differentialdifference equations
    • A. Bekir, Application of the Exp-function method for nonlinear differentialdifference equations, Applied Mathematics and Computation 215, 4049-4053, 2010.
    • (2010) Applied Mathematics and Computation , vol.215 , pp. 4049-4053
    • Bekir, A.1
  • 15
    • 77953136504 scopus 로고    scopus 로고
    • Exact solutions of the Drinfel'd-Sokolov-Wilson equation using the Exp-function method
    • E. Misirli and Y. Gurefe, Exact solutions of the Drinfel'd-Sokolov-Wilson equation using the Exp-function method, Applied Mathematics and Computation 216, 2623-2627, 2010.
    • (2010) Applied Mathematics and Computation , vol.216 , pp. 2623-2627
    • Misirli, E.1    Gurefe, Y.2
  • 16
    • 34748862326 scopus 로고    scopus 로고
    • Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
    • X. H. Wu and J. H. He, Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method, Computers and Mathematics with Applications 54, 966-986, 2007.
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 966-986
    • Wu, X.H.1    He, J.H.2
  • 17
    • 34147152832 scopus 로고    scopus 로고
    • Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
    • A. Ebaid, Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method, Physics Letters A 365, 213-219, 2007.
    • (2007) Physics Letters A , vol.365 , pp. 213-219
    • Ebaid, A.1
  • 19
    • 77950189796 scopus 로고    scopus 로고
    • Exp-function method: Solitary, periodic and rational wave solutions of nonlinear evolution equations
    • S. Zhang, Exp-function method: solitary, periodic and rational wave solutions of nonlinear evolution equations, Nonlinear Science Letters A: Mathematics, Physics and Mechanics 1, 143-146, 2010.
    • (2010) Nonlinear Science Letters A: Mathematics, Physics and Mechanics , vol.1 , pp. 143-146
    • Zhang, S.1
  • 20
    • 79251475064 scopus 로고    scopus 로고
    • Exp-function method for solving nonlinear evolution equations with higher order nonlinearity
    • doi:10.1016/j.camwa.2010.08.060
    • Y. Gurefe and E. Misirli, Exp-function method for solving nonlinear evolution equations with higher order nonlinearity, Computers and Mathematics with Applications doi:10.1016/j.camwa.2010.08.060, 2010.
    • (2010) Computers and Mathematics with Applications
    • Gurefe, Y.1    Misirli, E.2
  • 21
    • 0023015595 scopus 로고
    • An analytical and numerical study of the two-dimensional Bratu equation
    • J. P. Boyd, An analytical and numerical study of the two-dimensional Bratu equation, Journal of Scientific Computing 1, 183-206, 1986.
    • (1986) Journal of Scientific Computing , vol.1 , pp. 183-206
    • Boyd, J.P.1
  • 22
    • 41349098293 scopus 로고    scopus 로고
    • Supersymmetric pairing of kinks for polynomial nonlinearities
    • H. C. Rosu and O. Cornejo, Supersymmetric pairing of kinks for polynomial nonlinearities, Physical Review E 71, 046607, 2005.
    • (2005) Physical Review E , vol.71 , pp. 046607
    • Rosu, H.C.1    Cornejo, O.2
  • 23
    • 67249117263 scopus 로고    scopus 로고
    • Exact solution for the generalized Telegraph Fisher equation
    • H. A Abdusalam and E. S. Fahmy, Exact solution for the generalized Telegraph Fisher equation, Chaos Solitons and Fractals 41, 1550-1556, 2009.
    • (2009) Chaos Solitons and Fractals , vol.41 , pp. 1550-1556
    • Abdusalam, H.A.1    Fahmy, E.S.2
  • 25
    • 34248229664 scopus 로고    scopus 로고
    • The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
    • A. M. Wazwaz, The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations, Applied Mathematics and Computation 188, 1467-1475, 2007.
    • (2007) Applied Mathematics and Computation , vol.188 , pp. 1467-1475
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.