메뉴 건너뛰기




Volumn 29, Issue 4, 2006, Pages 928-941

Link between travelling waves and first order nonlinear ordinary differential equation with a sixth-degree nonlinear term

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; POLYNOMIALS; SOLITONS;

EID: 33645091894     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.057     Document Type: Article
Times cited : (16)

References (28)
  • 5
    • 77952771289 scopus 로고
    • Wave propagation in nonlinear lattice i
    • M. Wadati Wave propagation in nonlinear lattice I J Phys Soc Jpn 38 1975 673 680
    • (1975) J Phys Soc Jpn , vol.38 , pp. 673-680
    • Wadati, M.1
  • 6
    • 2642521758 scopus 로고
    • Wave propagation in nonlinear lattice II
    • M. Wadati Wave propagation in nonlinear lattice II J Phys Soc Jpn 38 1975 681 686
    • (1975) J Phys Soc Jpn , vol.38 , pp. 681-686
    • Wadati, M.1
  • 7
    • 0001725987 scopus 로고
    • Simple derivation of Bäcklund transformation from Riccati form of inverse method
    • K. Konno, and M. Wadati 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
  • 8
    • 0033241374 scopus 로고    scopus 로고
    • Darboux transformation and solutions for an equation in 2 + 1 dimensions
    • P.G. Esteevez Darboux transformation and solutions for an equation in 2 + 1 dimensions J Math Phys 40 1999 1406 1419
    • (1999) J Math Phys , vol.40 , pp. 1406-1419
    • Esteevez, P.G.1
  • 9
    • 0034612891 scopus 로고    scopus 로고
    • Darboux transformation and soliton-like solutions for the Gerdji-kov-Ivanov equation
    • E.G. Fan Darboux transformation and soliton-like solutions for the Gerdji-kov-Ivanov equation J Phys A 33 2000 6925 6933
    • (2000) J Phys A , vol.33 , pp. 6925-6933
    • Fan, E.G.1
  • 11
    • 18944408338 scopus 로고
    • Soliton solution of a coupled KdV equation
    • R. Hirota, and J. Satsuma Soliton solution of a coupled KdV equation Phys Lett A 85 1981 407 408
    • (1981) Phys Lett A , vol.85 , pp. 407-408
    • Hirota, R.1    Satsuma, J.2
  • 12
    • 0034384726 scopus 로고    scopus 로고
    • The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited
    • H.W. Tam, W.X. Ma, X.B. Hu, and D.L. Wang The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited J Phys Soc Jpn 69 2000 45 51
    • (2000) J Phys Soc Jpn , vol.69 , pp. 45-51
    • Tam, H.W.1    Ma, W.X.2    Hu, X.B.3    Wang, D.L.4
  • 15
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations
    • E.J. Parkes, and B.R. Duffy An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations Comput Phys Commun 98 1996 288 300
    • (1996) Comput Phys Commun , vol.98 , pp. 288-300
    • Parkes, E.J.1    Duffy, B.R.2
  • 16
    • 0345983423 scopus 로고    scopus 로고
    • New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
    • Z.Y. Yan, and H.Q. Zhang New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics Phys Lett A 252 1999 291 296
    • (1999) Phys Lett A , vol.252 , pp. 291-296
    • Yan, Z.Y.1    Zhang, H.Q.2
  • 17
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • E.G. Fan Extended tanh-function method and its applications to nonlinear equations Phys Lett A 277 2000 212 218
    • (2000) Phys Lett A , vol.277 , pp. 212-218
    • Fan, E.G.1
  • 18
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • S.K. Liu, Z.T. Fu, S.D. Liu, and Q. Zhao 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
  • 19
    • 1842424307 scopus 로고    scopus 로고
    • Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation
    • D.J. Huang, and H.Q. Zhang Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation Chaos, Solitons & Fractals 22 2004 243 247
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 243-247
    • Huang, D.J.1    Zhang, H.Q.2
  • 20
    • 0037408898 scopus 로고    scopus 로고
    • Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
    • E.G. Fan Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics Chaos, Solitons & Fractals 16 2003 819 839
    • (2003) Chaos, Solitons & Fractals , vol.16 , pp. 819-839
    • Fan, E.G.1
  • 21
    • 0037118984 scopus 로고    scopus 로고
    • Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
    • E.G. Fan Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method J Phys A 35 2002 6853 6872
    • (2002) J Phys A , vol.35 , pp. 6853-6872
    • Fan, E.G.1
  • 22
    • 1542290075 scopus 로고    scopus 로고
    • An improved algebra method and its applications in nonlinear wave equations
    • Z.Y. Yan An improved algebra method and its applications in nonlinear wave equations Chaos, Solitons & Fractals 21 2004 1013 1021
    • (2004) Chaos, Solitons & Fractals , vol.21 , pp. 1013-1021
    • Yan, Z.Y.1
  • 23
    • 0242593142 scopus 로고    scopus 로고
    • Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order
    • W.G. Zhang, Q.S. Chang, and E.G. Fan Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order J Math Anal Appl 287 2003 1 18
    • (2003) J Math Anal Appl , vol.287 , pp. 1-18
    • Zhang, W.G.1    Chang, Q.S.2    Fan, E.G.3
  • 24
    • 0037100573 scopus 로고    scopus 로고
    • New transformations and new approach to find exact solutions to nonlinear equations
    • Z.T. Fu, S.K. Liu, and S.D. Liu New transformations and new approach to find exact solutions to nonlinear equations Phys Lett A 299 2002 507 512
    • (2002) Phys Lett A , vol.299 , pp. 507-512
    • Fu, Z.T.1    Liu, S.K.2    Liu, S.D.3
  • 25
    • 0041894128 scopus 로고
    • Spectral transformation for a 2-spatial dimension extension of the dispersive long wave equation
    • M. Boiti, J.J.P. Leon, and F. Pempinelli Spectral transformation for a 2-spatial dimension extension of the dispersive long wave equation Inverse Probl 3 1987 371 387
    • (1987) Inverse Probl , vol.3 , pp. 371-387
    • Boiti, M.1    Leon, J.J.P.2    Pempinelli, F.3
  • 26
    • 0002681572 scopus 로고
    • Domain wall solutions of KdV like equations with higher order nonlinearity
    • B. Dey Domain wall solutions of KdV like equations with higher order nonlinearity J Phys A 19 1986 L9 L12
    • (1986) J Phys A , vol.19
    • Dey, B.1
  • 27
    • 0025530654 scopus 로고
    • On series expansions giving closed-form solutions of Korteweg-De Vries-like equations
    • M.W. Coffey On series expansions giving closed-form solutions of Korteweg-De Vries-like equations SIMA J Appl Math 50 1990 1580 1592
    • (1990) SIMA J Appl Math , vol.50 , pp. 1580-1592
    • Coffey, M.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.