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Volumn 41, Issue 4, 2009, Pages 1733-1739

New exact travelling wave solutions of nonlinear physical models

Author keywords

[No Author keywords available]

Indexed keywords

HYPERBOLIC FUNCTIONS; RATIONAL FUNCTIONS; WAVE EQUATIONS; WAVE TRANSMISSION;

EID: 67349145933     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.07.017     Document Type: Article
Times cited : (42)

References (25)
  • 3
    • 65349103554 scopus 로고    scopus 로고
    • The tanh-coth method combined with the Riccati equation for solving nonlinear equation
    • Bekir A. The tanh-coth method combined with the Riccati equation for solving nonlinear equation. Chaos, Solitons & Fractals 40 3 (2009) 1467-1474
    • (2009) Chaos, Solitons & Fractals , vol.40 , Issue.3 , pp. 1467-1474
    • Bekir, A.1
  • 4
    • 64549133759 scopus 로고    scopus 로고
    • Application of Exp-function method for (2 + 1)-dimensional nonlinear evolution equations
    • Bekir A., and Boz A. Application of Exp-function method for (2 + 1)-dimensional nonlinear evolution equations. Chaos, Solitons & Fractals 40 1 (2009) 458-465
    • (2009) Chaos, Solitons & Fractals , vol.40 , Issue.1 , pp. 458-465
    • Bekir, A.1    Boz, A.2
  • 5
    • 41149150935 scopus 로고    scopus 로고
    • Applications of the extended tanh method for coupled nonlinear evolution equations
    • Bekir A. Applications of the extended tanh method for coupled nonlinear evolution equations. Commun Nonlinear Sci Numer Simulat 13 9 (2008) 1748-1757
    • (2008) Commun Nonlinear Sci Numer Simulat , vol.13 , Issue.9 , pp. 1748-1757
    • Bekir, A.1
  • 6
    • 33947153806 scopus 로고    scopus 로고
    • Applications of algebraic method to exactly solve some nonlinear partial differential equations
    • Darwish A.A., and Ramady A. Applications of algebraic method to exactly solve some nonlinear partial differential equations. Chaos, Solitons & Fractals 33 4 (2007) 1263
    • (2007) Chaos, Solitons & Fractals , vol.33 , Issue.4 , pp. 1263
    • Darwish, A.A.1    Ramady, A.2
  • 7
    • 0036645735 scopus 로고    scopus 로고
    • Modified extended tanh-function method for solving nonlinear partial differential equations
    • El-wakil S.A., El-labany S.K., Zahran M.A., and Sabry R. Modified extended tanh-function method for solving nonlinear partial differential equations. Phys Lett A 299 2-3 (2002) 179-188
    • (2002) Phys Lett A , vol.299 , Issue.2-3 , pp. 179-188
    • El-wakil, S.A.1    El-labany, S.K.2    Zahran, M.A.3    Sabry, R.4
  • 8
    • 33747348716 scopus 로고    scopus 로고
    • New exact travelling wave solutions using modified extended tanh-function method
    • El-Wakil S.A., and Abdou M.A. New exact travelling wave solutions using modified extended tanh-function method. Chaos, Solitons & Fractals 31 4 (2007) 840-852
    • (2007) Chaos, Solitons & Fractals , vol.31 , Issue.4 , pp. 840-852
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 9
    • 4344673183 scopus 로고    scopus 로고
    • A note on the homogeneous balance method
    • Fan E., and Zhang H. A note on the homogeneous balance method. Phys Lett A 246 (1998) 403-406
    • (1998) Phys Lett A , vol.246 , pp. 403-406
    • Fan, E.1    Zhang, H.2
  • 10
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • Fan E. Extended tanh-function method and its applications to nonlinear equations. Phys Lett A 277 (2000) 212
    • (2000) Phys Lett A , vol.277 , pp. 212
    • Fan, E.1
  • 11
    • 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
  • 12
    • 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, Solitons & Fractals 34 (2007) 1421-1429
    • (2007) Chaos, Solitons & Fractals , vol.34 , pp. 1421-1429
    • He, J.H.1    Abdou, M.A.2
  • 13
    • 0013052570 scopus 로고
    • Direct method of finding exact solutions of nonlinear evolution equations
    • Bullough R., and Caudrey P. (Eds), Springer, Berlin
    • Hirota R. Direct method of finding exact solutions of nonlinear evolution equations. In: Bullough R., and Caudrey P. (Eds). Backlund transformations (1980), Springer, Berlin 1157-1175
    • (1980) Backlund transformations , pp. 1157-1175
    • Hirota, R.1
  • 14
    • 0004483962 scopus 로고    scopus 로고
    • The tanh method. I: Exact solutions of nonlinear evolution and wave equations
    • Malfliet W., and Hereman W. The tanh method. I: Exact solutions of nonlinear evolution and wave equations. Phys Scripta 54 (1996) 563-568
    • (1996) Phys Scripta , vol.54 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 15
    • 0021214532 scopus 로고
    • A symmetric regularized long wave equation
    • Seyler C.E., and Fenstermacher D.L. A symmetric regularized long wave equation. Phys Fluid 27 (1984) 4-7
    • (1984) Phys Fluid , vol.27 , pp. 4-7
    • Seyler, C.E.1    Fenstermacher, D.L.2
  • 16
    • 37249080286 scopus 로고    scopus 로고
    • Application of Exp-function method to symmetric regularized long wave (SRLW) equation
    • Xu F. Application of Exp-function method to symmetric regularized long wave (SRLW) equation. Phys Lett A 372 3 (2008) 252-257
    • (2008) Phys Lett A , vol.372 , Issue.3 , pp. 252-257
    • Xu, F.1
  • 17
    • 0037411678 scopus 로고    scopus 로고
    • A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
    • Vakhnenko V.O., Parkes E.J., and Morrison A.J. A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Chaos, Solitons & Fractals 17 4 (2003) 683-692
    • (2003) Chaos, Solitons & Fractals , vol.17 , Issue.4 , pp. 683-692
    • Vakhnenko, V.O.1    Parkes, E.J.2    Morrison, A.J.3
  • 18
    • 37549033511 scopus 로고    scopus 로고
    • ′, G))-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
    • ′, G))-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Phys Lett A 372 4 (2008) 417-423
    • (2008) Phys Lett A , vol.372 , Issue.4 , pp. 417-423
    • Wang, M.L.1    Li, X.2    Zhang, J.3
  • 19
    • 3042750187 scopus 로고    scopus 로고
    • The tanh method for travelling wave solutions of nonlinear equations
    • Wazwaz A.M. The tanh method for travelling wave solutions of nonlinear equations. Appl Math Comput 154 3 (2004) 713-723
    • (2004) Appl Math Comput , vol.154 , Issue.3 , pp. 713-723
    • Wazwaz, A.M.1
  • 20
    • 12944300203 scopus 로고    scopus 로고
    • A sine-cosine method for handling nonlinear wave equations
    • Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Math Comput Model 40 (2004) 499-508
    • (2004) Math Comput Model , vol.40 , pp. 499-508
    • Wazwaz, A.M.1
  • 21
    • 34247279667 scopus 로고    scopus 로고
    • The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
    • Wazwaz A.M. The extended tanh method for abundant solitary wave solutions of nonlinear wave equations. Appl Math Comput 187 (2007) 1131-1142
    • (2007) Appl Math Comput , vol.187 , pp. 1131-1142
    • Wazwaz, A.M.1
  • 22
    • 26844508856 scopus 로고    scopus 로고
    • Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system
    • Wazwaz A.M. Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system. Commun Nonlinear Sci Numer Simulat 11 3 (2006) 311-325
    • (2006) Commun Nonlinear Sci Numer Simulat , vol.11 , Issue.3 , pp. 311-325
    • Wazwaz, A.M.1
  • 23
    • 40249118352 scopus 로고    scopus 로고
    • Exact solutions of coupled nonlinear evolution equations
    • Yusufoǧlu E., and Bekir A. Exact solutions of coupled nonlinear evolution equations. Chaos, Solitons & Fractals 37 3 (2008) 842-848
    • (2008) Chaos, Solitons & Fractals , vol.37 , Issue.3 , pp. 842-848
    • Yusufoǧlu, E.1    Bekir, A.2
  • 24
    • 40749094121 scopus 로고    scopus 로고
    • Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using sine-cosine method
    • Yusufoǧlu E., Bekir A., and Alp M. Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using sine-cosine method. Chaos, Solitons & Fractals 37 4 (2008) 1193-1197
    • (2008) Chaos, Solitons & Fractals , vol.37 , Issue.4 , pp. 1193-1197
    • Yusufoǧlu, E.1    Bekir, A.2    Alp, M.3
  • 25
    • 39849101219 scopus 로고    scopus 로고
    • ′, G))-expansion method for the mKdV equation with variable coefficients
    • ′, G))-expansion method for the mKdV equation with variable coefficients. Phys Lett A 372 13 (2008) 2254-2257
    • (2008) Phys Lett A , vol.372 , Issue.13 , pp. 2254-2257
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.