메뉴 건너뛰기




Volumn 70, Issue 1, 2009, Pages 58-63

Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method

Author keywords

Discrete sine Gordon equation; Exact travelling wave solution; Exp function approach

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; ELECTRIC CURRENTS; IMAGE SEGMENTATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; SOLUTIONS; WAVE EQUATIONS; WAVE TRANSMISSION;

EID: 55549140845     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.11.034     Document Type: Article
Times cited : (24)

References (14)
  • 1
    • 0010964037 scopus 로고
    • Sine-Gordon equation and nonlinear σ model on a lattice
    • Ofanidis S.J. Sine-Gordon equation and nonlinear σ model on a lattice. Phys. Rev. D 18 (1978) 3828-3832
    • (1978) Phys. Rev. D , vol.18 , pp. 3828-3832
    • Ofanidis, S.J.1
  • 2
    • 0010999359 scopus 로고
    • The inverse scattering transform for solving the. discrete sine-Gordon equation
    • Pilloni L., and Levi D. The inverse scattering transform for solving the. discrete sine-Gordon equation. Phys. Lett. A 92 (1982) 5-8
    • (1982) Phys. Lett. A , vol.92 , pp. 5-8
    • Pilloni, L.1    Levi, D.2
  • 3
    • 84912432291 scopus 로고
    • Lectures on the inverse scattering transform
    • Ablowitz M.J. Lectures on the inverse scattering transform. Stud. Appl. Math. 58 (1978) 17-94
    • (1978) Stud. Appl. Math. , vol.58 , pp. 17-94
    • Ablowitz, M.J.1
  • 4
    • 4444343860 scopus 로고    scopus 로고
    • Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
    • Baldwin D., Göktas Ü., and Hereman W. Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations. Comput. Phys. Commun. 162 (2004) 203-217
    • (2004) Comput. Phys. Commun. , vol.162 , pp. 203-217
    • Baldwin, D.1    Göktas, Ü.2    Hereman, W.3
  • 5
    • 9544251382 scopus 로고    scopus 로고
    • New exact travelling wave solutions of the discrete sine-Gordon equation
    • Dai C.Q., Yang Q., and Zhang J.F. New exact travelling wave solutions of the discrete sine-Gordon equation. Z. Naturforsch. 59a (2004) 635-639
    • (2004) Z. Naturforsch. , vol.59 a , pp. 635-639
    • Dai, C.Q.1    Yang, Q.2    Zhang, J.F.3
  • 6
    • 33745370045 scopus 로고    scopus 로고
    • Exact solutions of discrete complex cubic-quintic Ginzburg-Landau equation with non-local quintic term
    • Dai C.Q., and Zhang J.F. Exact solutions of discrete complex cubic-quintic Ginzburg-Landau equation with non-local quintic term. Opt. Commun. 263 (2006) 309-316
    • (2006) Opt. Commun. , vol.263 , pp. 309-316
    • Dai, C.Q.1    Zhang, J.F.2
  • 7
    • 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 (2006) 1042-1047
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 1042-1047
    • Dai, C.Q.1    Zhang, J.F.2
  • 8
    • 17044440223 scopus 로고    scopus 로고
    • Symbolic computation of extended Jacobian elliptic function algorithm for nonlinear differential-different equations
    • Dai C.Q., Meng J.P., and Zhang J.F. Symbolic computation of extended Jacobian elliptic function algorithm for nonlinear differential-different equations. Commun. Theor. Phys. 43 (2005) 471-478
    • (2005) Commun. Theor. Phys. , vol.43 , pp. 471-478
    • Dai, C.Q.1    Meng, J.P.2    Zhang, J.F.3
  • 9
    • 21444461596 scopus 로고    scopus 로고
    • Travelling wave solutions to the coupled discrete nonlinear Schrödinger equations
    • Dai C.Q., and Zhang J.F. Travelling wave solutions to the coupled discrete nonlinear Schrödinger equations. Internat. J. Modern Phys. B 19 (2005) 2129-2143
    • (2005) Internat. J. Modern Phys. B , vol.19 , pp. 2129-2143
    • Dai, C.Q.1    Zhang, J.F.2
  • 10
    • 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 Soliton Fractals 30 (2006) 700-708
    • (2006) Chaos Soliton Fractals , vol.30 , pp. 700-708
    • He, J.H.1    Wu, X.H.2
  • 11
    • 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 Soliton Fractals 34 (2007) 1421-1426
    • (2007) Chaos Soliton Fractals , vol.34 , pp. 1421-1426
    • He, J.H.1    Abdou, M.A.2
  • 12
    • 27144491934 scopus 로고    scopus 로고
    • Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations
    • Wazwaz A.M. Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations. Chaos Solitons Fractals 28 (2006) 127-135
    • (2006) Chaos Solitons Fractals , vol.28 , pp. 127-135
    • Wazwaz, A.M.1
  • 13
    • 0038759689 scopus 로고    scopus 로고
    • An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
    • Fan E. An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations. J. Phys. A 36 (2003) 7009-7026
    • (2003) J. Phys. A , vol.36 , pp. 7009-7026
    • Fan, E.1
  • 14
    • 33747039256 scopus 로고    scopus 로고
    • Exact travelling solutions of discrete sine-Gordon equation via extended tanh-function approach
    • Dai C.Q., and Zhang J.F. Exact travelling solutions of discrete sine-Gordon equation via extended tanh-function approach. Commun. Theor. Phys. 46 (2006) 23-27
    • (2006) Commun. Theor. Phys. , vol.46 , pp. 23-27
    • Dai, C.Q.1    Zhang, J.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.