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Volumn 131, Issue 2, 1997, Pages 354-367

On the numerical solution of the Sine-Gordon equation

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; PHASE SPACE METHODS;

EID: 0039176497     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.5606     Document Type: Article
Times cited : (54)

References (19)
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    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 339
    • Ablowitz, M.J.1    Herbst, B.M.2
  • 7
    • 0001522381 scopus 로고
    • Geometry of the modulational instability. Part III. Homoclinic orbits for the periodic sine-Gordon equation
    • Ercolani N., Forest M. G., McLaughlin D. W. Geometry of the modulational instability. Part III. Homoclinic orbits for the periodic sine-Gordon equation. Physica D. 43:1990;349.
    • (1990) Physica D , vol.43 , pp. 349
    • Ercolani, N.1    Forest, M.G.2    McLaughlin, D.W.3
  • 9
    • 0000300459 scopus 로고
    • Numerically induced chaos in the nonlinear Schrödinger equation
    • Herbst B. M., Ablowitz M. J. Numerically induced chaos in the nonlinear Schrödinger equation. Phys. Rev. Lett. 62:1989;2065.
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2065
    • Herbst, B.M.1    Ablowitz, M.J.2
  • 10
    • 0001167255 scopus 로고
    • Numerical homoclinic instabilities in the sine-Gordon equation
    • Herbst B. M., Ablowitz M. J. Numerical homoclinic instabilities in the sine-Gordon equation. Quaestiones Math. 15:1992;345.
    • (1992) Quaestiones Math. , vol.15 , pp. 345
    • Herbst, B.M.1    Ablowitz, M.J.2
  • 11
    • 0000307880 scopus 로고
    • Numerical chaos, symplectic integrators and exponentially small splitting distances
    • Herbst B. M., Ablowitz M. J. Numerical chaos, symplectic integrators and exponentially small splitting distances. J. Comput. Phys. 105:1993;122.
    • (1993) J. Comput. Phys. , vol.105 , pp. 122
    • Herbst, B.M.1    Ablowitz, M.J.2
  • 13
    • 0009290614 scopus 로고
    • Nonlinear partial difference equations III; Discrete sine-Gordon equation
    • Hirota R. Nonlinear partial difference equations III; Discrete sine-Gordon equation. J. Phys. Soc. Japan. 43:1977;2079.
    • (1977) J. Phys. Soc. Japan , vol.43 , pp. 2079
    • Hirota, R.1
  • 14
    • 0002540984 scopus 로고
    • Analytic integrals of the semistandard map, and splitting of separatrices
    • Lazutkin V. F. Analytic integrals of the semistandard map, and splitting of separatrices. Leningrad Math. J. 1:1990;427.
    • (1990) Leningrad Math. J. , vol.1 , pp. 427
    • Lazutkin, V.F.1
  • 15
    • 0002126354 scopus 로고
    • On the width of the instability zone near the separatrix of a standard map
    • Lazutkin V. F. On the width of the instability zone near the separatrix of a standard map. Soviet Math. Dokl. 42:1991;5.
    • (1991) Soviet Math. Dokl. , vol.42 , pp. 5
    • Lazutkin, V.F.1
  • 16
    • 0024926295 scopus 로고
    • Splitting of separatrices for standard and semistandard mappings
    • Lazutkin V. F., Schachmannski I. G., Tabanov M. B. Splitting of separatrices for standard and semistandard mappings. Physica D. 40:1989;235.
    • (1989) Physica D , vol.40 , pp. 235
    • Lazutkin, V.F.1    Schachmannski, I.G.2    Tabanov, M.B.3
  • 18
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    • Numerical chaos, roundoff errors and homoclinic orbits
    • Ablowitz M. J., Schober C. M., Herbst B. M. Numerical chaos, roundoff errors and homoclinic orbits. Phys. Rev. Lett. 71:1993;2683.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2683
    • Ablowitz, M.J.1    Schober, C.M.2    Herbst, B.M.3
  • 19
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • Yoshida H. Construction of higher order symplectic integrators. Phys. A. 150:1990;262.
    • (1990) Phys. A. , vol.150 , pp. 262
    • Yoshida, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.