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Volumn 20, Issue 1-2, 1996, Pages 181-187

Inverse scattering transform numerical schemes for nonlinear evolution equations and the method of lines

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0030081245     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(95)00125-5     Document Type: Article
Times cited : (9)

References (12)
  • 1
    • 36749115552 scopus 로고
    • Nonlinear differential-difference equations
    • M.J. Ablowitz and J.F. Ladik, Nonlinear differential-difference equations, J. Math. Phys. 16 (1975) 598-603.
    • (1975) J. Math. Phys. , vol.16 , pp. 598-603
    • Ablowitz, M.J.1    Ladik, J.F.2
  • 3
    • 84903588163 scopus 로고
    • On the solution of a class of nonlinear partial difference equations
    • M.J. Ablowitz and J.F. Ladik, On the solution of a class of nonlinear partial difference equations. Stud. Appl. Math. 57 (1977) 1-12.
    • (1977) Stud. Appl. Math. , vol.57 , pp. 1-12
    • Ablowitz, M.J.1    Ladik, J.F.2
  • 4
    • 0346594174 scopus 로고
    • Analytical and numerical aspects of certain nonlinear evolution equations I: Analytical
    • T.R. Taha and M.J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations I: Analytical, J. Comput. Phys. 55 (1984) 192-202.
    • (1984) J. Comput. Phys. , vol.55 , pp. 192-202
    • Taha, T.R.1    Ablowitz, M.J.2
  • 5
    • 0026413067 scopus 로고
    • Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation
    • M. Herbst, M.J. Ablowitz and E. Ryan, Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation, Comput. Phys. Comm. 65 (1991) 137-142.
    • (1991) Comput. Phys. Comm. , vol.65 , pp. 137-142
    • Herbst, M.1    Ablowitz, M.J.2    Ryan, E.3
  • 6
    • 0039836488 scopus 로고
    • A differential-difference equation for higher order nonlinear Schrödinger equation
    • W.F. Ames and P.J. van der Houwen, eds., North-Holland, Amsterdam
    • T.R. Taha, A differential-difference equation for higher order nonlinear Schrödinger equation, in: W.F. Ames and P.J. van der Houwen, eds., Computational and Applied Mathematics II. Differential Equations (North-Holland, Amsterdam, 1992) 361-364.
    • (1992) Computational and Applied Mathematics II. Differential Equations , pp. 361-364
    • Taha, T.R.1
  • 7
    • 30244488505 scopus 로고
    • A differential-difference equation for a KdV-MKdV equation
    • T.R. Taha, A differential-difference equation for a KdV-MKdV equation, J. Math. Comput. Simulation 35 (1993) 509-512.
    • (1993) J. Math. Comput. Simulation , vol.35 , pp. 509-512
    • Taha, T.R.1
  • 8
    • 21344493343 scopus 로고
    • Numerical simulation of the KdV-MKdV equation
    • T.R. Taha, Numerical simulation of the KdV-MKdV equation, Internat. J. Modern Phys. C 5 (1994) 407-410.
    • (1994) Internat. J. Modern Phys. C , vol.5 , pp. 407-410
    • Taha, T.R.1
  • 10
    • 0000116503 scopus 로고
    • Method of lines solution of the Korteweg-de Vries equation
    • W.E. Schiesser, Method of lines solution of the Korteweg-de Vries equation, Comput. Math. Appl. 28 (1994) 147-154.
    • (1994) Comput. Math. Appl. , vol.28 , pp. 147-154
    • Schiesser, W.E.1
  • 12
    • 77952771289 scopus 로고
    • Wave propagation in nonlinear lattice I
    • M. Wadati, Wave propagation in nonlinear lattice I, J. Phys. Soc. Japan 38 (1975) 673-680.
    • (1975) J. Phys. Soc. Japan , vol.38 , pp. 673-680
    • Wadati, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.