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Volumn 30, Issue 3, 2006, Pages 700-708

Exp-function method for nonlinear wave equations

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATION THEORY; FUNCTION EVALUATION; NONLINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33745177020     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.020     Document Type: Article
Times cited : (1666)

References (29)
  • 1
    • 17844387618 scopus 로고    scopus 로고
    • On an improved complex tanh-function method
    • Abdusalam H.A. On an improved complex tanh-function method. Int J Nonlinear Sci Numer Simul 6 2 (2005) 99-106
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.2 , pp. 99-106
    • Abdusalam, H.A.1
  • 2
    • 7244223299 scopus 로고    scopus 로고
    • Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations
    • Zayed E.M.E., Zedan H.A., and Gepreel K.A. Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations. Int J Nonlinear Sci Numer Simul 5 3 (2004) 221-234
    • (2004) Int J Nonlinear Sci Numer Simul , vol.5 , Issue.3 , pp. 221-234
    • Zayed, E.M.E.1    Zedan, H.A.2    Gepreel, K.A.3
  • 3
    • 24344491893 scopus 로고    scopus 로고
    • Generalized extended tanh-function method and its application
    • Bai C.L., and Zhao H. Generalized extended tanh-function method and its application. Chaos, Solitons & Fractals 27 4 (2006) 1026-1035
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.4 , pp. 1026-1035
    • Bai, C.L.1    Zhao, H.2
  • 4
    • 13544272576 scopus 로고    scopus 로고
    • The tanh method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
    • Wazwaz A.M. The tanh method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Chaos, Solitons & Fractals 25 1 (2005) 55-63
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.1 , pp. 55-63
    • Wazwaz, A.M.1
  • 5
    • 0347985405 scopus 로고    scopus 로고
    • Solving the (2 + 1)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method
    • Li D.S., Gao F., and Zhang H.Q. Solving the (2 + 1)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method. Chaos, Solitons & Fractals 20 5 (2004) 1021-1025
    • (2004) Chaos, Solitons & Fractals , vol.20 , Issue.5 , pp. 1021-1025
    • Li, D.S.1    Gao, F.2    Zhang, H.Q.3
  • 6
    • 0347985401 scopus 로고    scopus 로고
    • A complex tanh-function method applied to nonlinear equations of Schroedinger type
    • Khuri S.A. A complex tanh-function method applied to nonlinear equations of Schroedinger type. Chaos, Solitons & Fractals 20 5 (2004) 1037-1040
    • (2004) Chaos, Solitons & Fractals , vol.20 , Issue.5 , pp. 1037-1040
    • Khuri, S.A.1
  • 7
    • 22344456077 scopus 로고    scopus 로고
    • The modified extended Fan sub-equation method and its application to the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation
    • Yomba E. The modified extended Fan sub-equation method and its application to the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation. Chaos, Solitons & Fractals 27 1 (2006) 187-196
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.1 , pp. 187-196
    • Yomba, E.1
  • 8
    • 24344445510 scopus 로고    scopus 로고
    • A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation
    • Ren Y.J., and Zhang H.Q. A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation. Chaos, Solitons & Fractals 27 4 (2006) 959-979
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.4 , pp. 959-979
    • Ren, Y.J.1    Zhang, H.Q.2
  • 9
    • 14944374499 scopus 로고    scopus 로고
    • Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation
    • Wang D.S., and Zhang H.Q. Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation. Chaos, Solitons & Fractals 25 3 (2005) 601-610
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.3 , pp. 601-610
    • Wang, D.S.1    Zhang, H.Q.2
  • 10
    • 24344489016 scopus 로고    scopus 로고
    • Jacobian elliptic function method for nonlinear differential-difference equations
    • Dai C.Q., and Zhang J.F. Jacobian elliptic function method for nonlinear differential-difference equations. Chaos, Solitons & Fractals 27 4 (2006) 1042-1047
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.4 , pp. 1042-1047
    • Dai, C.Q.1    Zhang, J.F.2
  • 11
    • 20444503348 scopus 로고    scopus 로고
    • The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations
    • Yu Y.X., Wang Q., and Zhang H.Q. The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations. Chaos, Solitons & Fractals 26 5 (2005) 1415-1421
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.5 , pp. 1415-1421
    • Yu, Y.X.1    Wang, Q.2    Zhang, H.Q.3
  • 12
    • 27144487394 scopus 로고    scopus 로고
    • Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
    • Zhao X.Q., Zhi H.Y., and Zhang H.Q. Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system. Chaos, Solitons & Fractals 28 1 (2006) 112-126
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.1 , pp. 112-126
    • Zhao, X.Q.1    Zhi, H.Y.2    Zhang, H.Q.3
  • 13
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons & Fractals 29 1 (2006) 108-113
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 14
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholtz equation
    • Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos, Solitons & Fractals 27 5 (2006) 1119-1123
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.5 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 15
    • 10944222823 scopus 로고    scopus 로고
    • The solution of KdV and mKdV equations using Adomian Pade approximation
    • Abassy T.A., El-Tawil M.A., and Saleh H.K. The solution of KdV and mKdV equations using Adomian Pade approximation. Int J Nonlinear Sci Numer Simul 5 4 (2004) 327-339
    • (2004) Int J Nonlinear Sci Numer Simul , vol.5 , Issue.4 , pp. 327-339
    • Abassy, T.A.1    El-Tawil, M.A.2    Saleh, H.K.3
  • 16
    • 2442563306 scopus 로고    scopus 로고
    • The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations
    • El-Sayed S.M., Kaya D., and Zarea S. The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations. Int J Nonlinear Sci Numer Simul 5 2 (2004) 105-112
    • (2004) Int J Nonlinear Sci Numer Simul , vol.5 , Issue.2 , pp. 105-112
    • El-Sayed, S.M.1    Kaya, D.2    Zarea, S.3
  • 17
    • 18844365155 scopus 로고    scopus 로고
    • The use of adomian decomposition method for solving the regularized long-wave equation
    • El-Danaf T.S., Ramadan M.A., and Alaal F.E.I.A. The use of adomian decomposition method for solving the regularized long-wave equation. Chaos, Solitons & Fractals 26 3 (2005) 747-757
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 747-757
    • El-Danaf, T.S.1    Ramadan, M.A.2    Alaal, F.E.I.A.3
  • 18
    • 18844387419 scopus 로고    scopus 로고
    • Construction of exact solitary solutions for Boussinesq-like B(m, n) equations with fully nonlinear dispersion by the decomposition method
    • Zhu Y.G., Chang Q.S., and Wu S.C. Construction of exact solitary solutions for Boussinesq-like B(m, n) equations with fully nonlinear dispersion by the decomposition method. Chaos, Solitons & Fractals 26 3 (2005) 897-903
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 897-903
    • Zhu, Y.G.1    Chang, Q.S.2    Wu, S.C.3
  • 19
    • 4243080806 scopus 로고    scopus 로고
    • Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
    • Liu H.M. Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method. Chaos, Solitons & Fractals 23 2 (2005) 573-576
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.2 , pp. 573-576
    • Liu, H.M.1
  • 20
    • 1142300799 scopus 로고    scopus 로고
    • Variational approach to nonlinear electrochemical system
    • Liu H.M. Variational approach to nonlinear electrochemical system. Int J Nonlinear Sci Numer Simul 5 1 (2004) 95-96
    • (2004) Int J Nonlinear Sci Numer Simul , vol.5 , Issue.1 , pp. 95-96
    • Liu, H.M.1
  • 21
    • 9644280990 scopus 로고    scopus 로고
    • Variational principles for nonlinear fiber optics
    • Zhang J., Yu J.Y., and Pan N. Variational principles for nonlinear fiber optics. Chaos, Solitons & Fractals 24 1 (2005) 309-311
    • (2005) Chaos, Solitons & Fractals , vol.24 , Issue.1 , pp. 309-311
    • Zhang, J.1    Yu, J.Y.2    Pan, N.3
  • 22
    • 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 3 (2005) 695-700
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 695-700
    • He, J.H.1
  • 23
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul 6 2 (2005) 207-208
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 24
    • 17844395724 scopus 로고    scopus 로고
    • Application of He's Homotopy perturbation method to Volterra's integro-differential equation
    • El-Shahed M. Application of He's Homotopy perturbation method to Volterra's integro-differential equation. Int J Nonlinear Sci Numer Simul 6 2 (2005) 163-168
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.2 , pp. 163-168
    • El-Shahed, M.1
  • 25
    • 12044253199 scopus 로고
    • Compactons: solitons with finite wavelengths
    • Rosenau P., and Hyman J.M. Compactons: solitons with finite wavelengths. Phys Rev Lett 75 5 (1993) 564-567
    • (1993) Phys Rev Lett , vol.75 , Issue.5 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 26
    • 0034626343 scopus 로고    scopus 로고
    • Compact and noncompact dispersive patterns
    • Rosenau P. Compact and noncompact dispersive patterns. Phys Lett A 275 3 (2000) 193-203
    • (2000) Phys Lett A , vol.275 , Issue.3 , pp. 193-203
    • Rosenau, P.1
  • 27
    • 27144474748 scopus 로고    scopus 로고
    • Two reliable methods for solving variants of the KdV equation with compact and noncompact structures
    • Wazwaz A.M. Two reliable methods for solving variants of the KdV equation with compact and noncompact structures. Chaos, Solitons & Fractals 28 2 (2006) 454-462
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.2 , pp. 454-462
    • Wazwaz, A.M.1
  • 28
    • 22844438621 scopus 로고    scopus 로고
    • Exact special solitary solutions with compact support for the nonlinear dispersive K(m, n) equations
    • Zhu Y., and Gao X. Exact special solitary solutions with compact support for the nonlinear dispersive K(m, n) equations. Chaos, Solitons & Fractals 27 2 (2006) 487-493
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.2 , pp. 487-493
    • Zhu, Y.1    Gao, X.2
  • 29
    • 9644260477 scopus 로고    scopus 로고
    • Exact solitary-wave solutions with compact support for the modified KdV equation
    • Zhu Y., Chang Q., and Wu S. Exact solitary-wave solutions with compact support for the modified KdV equation. Chaos, Solitons & Fractals 24 1 (2005) 365-369
    • (2005) Chaos, Solitons & Fractals , vol.24 , Issue.1 , pp. 365-369
    • Zhu, Y.1    Chang, Q.2    Wu, S.3


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