메뉴 건너뛰기




Volumn 215, Issue 6, 2009, Pages 2390-2396

Application of Exp-function method to the Whitham-Broer-Kaup shallow water model using symbolic computation

Author keywords

02.30.Jr; 05.45.Yv; Exp function method; Solitary wave solution; Whitham Broer Kaup model

Indexed keywords

02.30.JR; 05.45.YV; EXP-FUNCTION METHOD; SOLITARY WAVE SOLUTION; WHITHAM-BROER-KAUP MODEL;

EID: 70349985711     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.08.032     Document Type: Article
Times cited : (16)

References (32)
  • 2
    • 0001526429 scopus 로고
    • Stochastic Korteweg-de Vries equation
    • Wadati M. Stochastic Korteweg-de Vries equation. J. Phys. Soc. Jpn. 52 (1983) 2642-2648
    • (1983) J. Phys. Soc. Jpn. , vol.52 , pp. 2642-2648
    • Wadati, M.1
  • 3
    • 35949040541 scopus 로고
    • Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
    • Hirota R. Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27 (1971) 1192-1194
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 4
    • 0001157492 scopus 로고
    • Bäcklund transformation for solutions of the Korteweg-de Vries equation
    • Wahlquist H.D., and Estabrook F.B. Bäcklund transformation for solutions of the Korteweg-de Vries equation. Phys. Lett. A 31 (1973) 1386-1390
    • (1973) Phys. Lett. A , vol.31 , pp. 1386-1390
    • Wahlquist, H.D.1    Estabrook, F.B.2
  • 5
    • 0001725987 scopus 로고
    • Simple derivation of Bäcklund transformation from Riccati form of inverse method
    • Konno K., and Wadati M. Simple derivation of Bäcklund transformation from Riccati form of inverse method. Prog. Theor. Phys. 53 (1975) 1652-1656
    • (1975) Prog. Theor. Phys. , vol.53 , pp. 1652-1656
    • Konno, K.1    Wadati, M.2
  • 6
    • 17444419048 scopus 로고    scopus 로고
    • Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation
    • Tian B., and Gao Y.T. Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation. Eur. Phys. J. D 33 (2005) 59-65
    • (2005) Eur. Phys. J. D , vol.33 , pp. 59-65
    • Tian, B.1    Gao, Y.T.2
  • 7
    • 79051471140 scopus 로고    scopus 로고
    • On the non-planar dust-ion-acoustic waves in cosmic dusty plasmas with transverse perturbations
    • Gao Y.T., and Tian B. On the non-planar dust-ion-acoustic waves in cosmic dusty plasmas with transverse perturbations. Europhys. Lett. 77 (2007) 15001-15006
    • (2007) Europhys. Lett. , vol.77 , pp. 15001-15006
    • Gao, Y.T.1    Tian, B.2
  • 9
    • 0000017028 scopus 로고
    • Delta-dressing and exact solutions for the (2 + 1)-dimensional Harry Dym equation
    • Dubrousky V.G., and Konopelchenko B.G. Delta-dressing and exact solutions for the (2 + 1)-dimensional Harry Dym equation. J. Phys. A 27 (1994) 4619-4628
    • (1994) J. Phys. A , vol.27 , pp. 4619-4628
    • Dubrousky, V.G.1    Konopelchenko, B.G.2
  • 10
    • 36749112076 scopus 로고
    • The Painlevé property for partial differential equations
    • Weiss J., Tabor M., and Carnevale G. The Painlevé property for partial differential equations. J. Math. Phys. 24 (1983) 522-526
    • (1983) J. Math. Phys. , vol.24 , pp. 522-526
    • Weiss, J.1    Tabor, M.2    Carnevale, G.3
  • 11
    • 28844476111 scopus 로고    scopus 로고
    • Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method
    • Wazwaz A.M. Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method. Comput. Math. Appl. 50 (2005) 1685-1696
    • (2005) Comput. Math. Appl. , vol.50 , pp. 1685-1696
    • Wazwaz, A.M.1
  • 12
    • 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
  • 13
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • Malfliet W. Solitary wave solutions of nonlinear wave equations. Am. J. Phys. 60 (1992) 650-654
    • (1992) Am. J. Phys. , vol.60 , pp. 650-654
    • Malfliet, W.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. Scr. 54 (1996) 563-568
    • (1996) Phys. Scr. , vol.54 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 15
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A 289 (2001) 69-74
    • (2001) Phys. Lett. A , vol.289 , pp. 69-74
    • Liu, S.K.1    Fu, Z.T.2    Liu, S.D.3    Zhao, Q.4
  • 16
    • 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
  • 17
    • 1842430156 scopus 로고    scopus 로고
    • Applications of computer algebra in solving nonlinear evolution equations
    • Xie F.D., and Gao X.S. Applications of computer algebra in solving nonlinear evolution equations. Commun. Theor. Phys. 41 (2004) 353-356
    • (2004) Commun. Theor. Phys. , vol.41 , pp. 353-356
    • Xie, F.D.1    Gao, X.S.2
  • 18
    • 0035794081 scopus 로고    scopus 로고
    • Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2 + 1)-dimensional spaces
    • Yan Z.Y., and Zhang H.Q. Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2 + 1)-dimensional spaces. J. Phys. A 34 (2001) 1785-1792
    • (2001) J. Phys. A , vol.34 , pp. 1785-1792
    • Yan, Z.Y.1    Zhang, H.Q.2
  • 19
    • 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
  • 20
    • 34548631824 scopus 로고    scopus 로고
    • New application of Exp-function method for improved Boussinesq equation
    • Abdou M.A., Solimanm A.A., and El-Basyony S.T. New application of Exp-function method for improved Boussinesq equation. Phys. Lett. A 369 (2007) 469-475
    • (2007) Phys. Lett. A , vol.369 , pp. 469-475
    • Abdou, M.A.1    Solimanm, A.A.2    El-Basyony, S.T.3
  • 21
    • 34247350849 scopus 로고    scopus 로고
    • Application of Exp-function method to a KdV equation with variable coefficients
    • Zhang S. Application of Exp-function method to a KdV equation with variable coefficients. Phys. Lett. A 365 (2007) 448-453
    • (2007) Phys. Lett. A , vol.365 , pp. 448-453
    • Zhang, S.1
  • 22
    • 34548246435 scopus 로고    scopus 로고
    • Application of Exp-function method for nonlinear evolution equations with variable coefficients
    • El-Wakil S.A., Madkour M.A., and Abdou M.A. Application of Exp-function method for nonlinear evolution equations with variable coefficients. Phys. Lett. A 369 (2007) 62-69
    • (2007) Phys. Lett. A , vol.369 , pp. 62-69
    • El-Wakil, S.A.1    Madkour, M.A.2    Abdou, M.A.3
  • 23
    • 34147152832 scopus 로고    scopus 로고
    • Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
    • Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method. Phys. Lett. A 365 (2007) 213-219
    • (2007) Phys. Lett. A , vol.365 , pp. 213-219
    • Ebaid, A.1
  • 24
    • 38949119784 scopus 로고    scopus 로고
    • Exact solutions for nonlinear evolution equations using Exp-function method
    • Bekir A., and Boz A. Exact solutions for nonlinear evolution equations using Exp-function method. Phys. Lett. A 372 (2008) 1619-1625
    • (2008) Phys. Lett. A , vol.372 , pp. 1619-1625
    • Bekir, A.1    Boz, A.2
  • 25
    • 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 (2008) 1044-1047
    • (2008) Phys. Lett. A , vol.372 , pp. 1044-1047
    • He, J.H.1    Zhang, L.N.2
  • 26
    • 34250112720 scopus 로고
    • Mathematics of dispersive water waves
    • Kupershmidt B.A. Mathematics of dispersive water waves. Commun. Math. Phys. 99 (1985) 51-73
    • (1985) Commun. Math. Phys. , vol.99 , pp. 51-73
    • Kupershmidt, B.A.1
  • 27
    • 0032217564 scopus 로고    scopus 로고
    • Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
    • Fan E.G., and Zhang H.Q. Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water. Appl. Math. Mech. 19 (1998) 713-716
    • (1998) Appl. Math. Mech. , vol.19 , pp. 713-716
    • Fan, E.G.1    Zhang, H.Q.2
  • 28
    • 0035948195 scopus 로고    scopus 로고
    • Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations
    • Xie F.D., Yan Z.Y., and Zhang H.Q. Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Phys. Lett. A 285 (2001) 76-80
    • (2001) Phys. Lett. A , vol.285 , pp. 76-80
    • Xie, F.D.1    Yan, Z.Y.2    Zhang, H.Q.3
  • 29
    • 10844263247 scopus 로고    scopus 로고
    • Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations
    • Xu G.Q., and Li Z.B. Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations. Chaos Solitons Fractals 24 (2005) 549-556
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 549-556
    • Xu, G.Q.1    Li, Z.B.2
  • 30
    • 31144461587 scopus 로고    scopus 로고
    • An extended method and its application to Whitham-Broer-Kaup equation and two-dimensional perturbed KdV equation
    • Jiao X.Y., and Zhang H.Q. An extended method and its application to Whitham-Broer-Kaup equation and two-dimensional perturbed KdV equation. Appl. Math. Comput. 172 (2006) 664-677
    • (2006) Appl. Math. Comput. , vol.172 , pp. 664-677
    • Jiao, X.Y.1    Zhang, H.Q.2
  • 31
    • 34249777548 scopus 로고    scopus 로고
    • The extended tanh method and its applications for solving nonlinear physical models
    • Abdou M.A. The extended tanh method and its applications for solving nonlinear physical models. Appl. Math. Comput. 190 (2007) 988-996
    • (2007) Appl. Math. Comput. , vol.190 , pp. 988-996
    • Abdou, M.A.1
  • 32
    • 34548624933 scopus 로고    scopus 로고
    • New extension of the tanh-function method and application to the Whitham-Broer-Kaup shallow water model with symbolic computation
    • Xu T., Li J., Zhang H.Q., Zhang Y.X., Yao Z.Z., and Tian B. New extension of the tanh-function method and application to the Whitham-Broer-Kaup shallow water model with symbolic computation. Phys. Lett. A 369 (2007) 458-463
    • (2007) Phys. Lett. A , vol.369 , pp. 458-463
    • Xu, T.1    Li, J.2    Zhang, H.Q.3    Zhang, Y.X.4    Yao, Z.Z.5    Tian, B.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.