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Volumn 84, Issue 5, 2005, Pages 523-542

A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations

Author keywords

35P05; 35P99; AMS Subject Classifications: 35K99; Complex coupled KdV equations; Elliptic doubly periodic solutions; Modified proposed method; Soliton wave solutions; Symbolic software like Mathematica or Maple

Indexed keywords


EID: 31444443375     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810412331282961     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0035943903 scopus 로고    scopus 로고
    • Exact solutions for nonlinear partial differential equation: a new approach
    • Chenglin Bai. 2002. Exact solutions for nonlinear partial differential equation: a new approach. Physics Letters A, 288: 191–195.
    • (2002) Physics Letters A , vol.288 , pp. 191-195
    • Chenglin Bai1
  • 2
    • 0003145363 scopus 로고    scopus 로고
    • New exact solutions for a class of nonlinear coupled differential equations
    • Dong, Bo Cao. 2002. New exact solutions for a class of nonlinear coupled differential equations. Physics Letters A, 296: 27–33.
    • (2002) Physics Letters A , vol.296 , pp. 27-33
    • Dong, B.C.1
  • 3
    • 0035831998 scopus 로고    scopus 로고
    • Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
    • Engui Fan. 2001. Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation. Physics Letters A, 282: 18–22.
    • (2001) Physics Letters A , vol.282 , pp. 18-22
    • Engui Fan1
  • 4
    • 0036968339 scopus 로고    scopus 로고
    • A new method for find a series of traveling wave solution to a coupled Ito system
    • Engui Fan. 2002. A new method for find a series of traveling wave solution to a coupled Ito system. Journal of Physics Society, Japan, 71: 2663–2668.
    • (2002) Journal of Physics Society, Japan , vol.71 , pp. 2663-2668
    • Engui Fan1
  • 5
    • 0037118984 scopus 로고    scopus 로고
    • Multiple traveling wave solutions of nonlinear evolution equations using aunifiex algebraic method
    • Engui Fan. 2002. Multiple traveling wave solutions of nonlinear evolution equations using aunifiex algebraic method. Journal of Physics A Mathematics and Genetics, 35: 6853–6872.
    • (2002) Journal of Physics A Mathematics and Genetics , vol.35 , pp. 6853-6872
    • Engui Fan1
  • 6
    • 0037074397 scopus 로고    scopus 로고
    • Double periodic solutions with Jocobi elliptic functions for two generalized Hirota-Satsuma coupled KdV system
    • Engui Fan, Benny, YC, and Hon. 2002. Double periodic solutions with Jocobi elliptic functions for two generalized Hirota-Satsuma coupled KdV system. Physics Letters A, 292: 335–337.
    • (2002) Physics Letters A , vol.292 , pp. 335-337
    • Engui Fan1    Benny, Y.C.2    Hon3
  • 7
    • 0037100573 scopus 로고    scopus 로고
    • New transformations and exact approach to find exact solutions to nonlinear equations
    • Zuntao Fu, Skikuo Liu and Shida Liu. 2002. New transformations and exact approach to find exact solutions to nonlinear equations. Physics Letters A, 299: 507–512.
    • (2002) Physics Letters A , vol.299 , pp. 507-512
    • Zuntao Fu1    Skikuo Liu2    Shida Liu3
  • 8
    • 0039359643 scopus 로고
    • A coupled KdV equation is one case of the 4-reduction of KP hierarchy
    • Hirota, R, and Satsuma, J. 1983. A coupled KdV equation is one case of the 4-reduction of KP hierarchy. Journal of Physics Society, Japan, 51: 3390–3397.
    • (1983) Journal of Physics Society, Japan , vol.51 , pp. 3390-3397
    • Hirota, R.1    Satsuma, J.2
  • 9
    • 0043132161 scopus 로고    scopus 로고
    • A series of new exact solutions for a complex KdV system
    • Hon, YC, and Fan, EG. 2004. A series of new exact solutions for a complex KdV system. Chaos, Solitons and Fractals, 19: 515–525.
    • (2004) Chaos, Solitons and Fractals , vol.19 , pp. 515-525
    • Hon, Y.C.1    Fan, E.G.2
  • 10
    • 0037020034 scopus 로고    scopus 로고
    • Explicit exact solutions for new general two-dimensional KdV-Burgers-type equations with nonlinear terms of any order
    • Biao Li, Yong Chan and Zhang, H. 2002. Explicit exact solutions for new general two-dimensional KdV-Burgers-type equations with nonlinear terms of any order. Journal of Physics A, Mathematics and Genetics, 35: 8253–8265.
    • (2002) Journal of Physics A, Mathematics and Genetics , vol.35 , pp. 8253-8265
    • Biao Li1    Yong Chan2    Zhang, H.3
  • 12
    • 30244524644 scopus 로고    scopus 로고
    • Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
    • Mingling Wang, Yubin Zhou and Zhibin Li. 1996. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. Physics Letters A, 216: 67–75.
    • (1996) Physics Letters A , vol.216 , pp. 67-75
    • Mingling Wang1    Yubin Zhou2    Zhibin Li3
  • 13
    • 0037159667 scopus 로고    scopus 로고
    • A transformation with symbolic computation and bundat, new soliton-like solution for the (2 + 1)-dimensional generalized Burgers equations
    • Zhenya Yan. 2002. A transformation with symbolic computation and bundat, new soliton-like solution for the (2 + 1)-dimensional generalized Burgers equations. Journal of Physics A, Mathematics and Genetics, 35: 9923–9930.
    • (2002) Journal of Physics A, Mathematics and Genetics , vol.35 , pp. 9923-9930
    • Zhenya Yan1
  • 14
    • 0345985752 scopus 로고    scopus 로고
    • A general Hirota Satsuma coupled Kortewege de Vries equation and Miura transformations
    • Wu, Y, Geng, X, Hu, X, and Zhu, S. 1999. A general Hirota Satsuma coupled Kortewege de Vries equation and Miura transformations. Physics Letters A, 255: 259–264.
    • (1999) Physics Letters A , vol.255 , pp. 259-264
    • Wu, Y.1    Geng, X.2    Hu, X.3    Zhu, S.4
  • 15
    • 1842864938 scopus 로고    scopus 로고
    • On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations
    • Zayed, EME, Hassan, A, Zedan and Khaled, AGepreel. 2004. On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations. Chaos, Solitons and Fractals, 22: 285–303.
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 285-303
    • Zayed, E.M.E.1    Hassan, A.2    Zedan3    Khaled, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.