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Application of the Bäcklund-Transformation in the Sine-Gordon System

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Nonlinear Superconductive Electronics and Josephson Devices

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Abstract

In recent years the spectral transform for the sine-Gordon equation has been carefully investigated [1–3]. At the same time the perturbed sine-Gordon system has been used as a model for long Josephson tunnel junctions [4], being able to reproduce experimental results concerning I–V characteristics, radiation spectra, line width, stability etc [5–8].

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References

  1. M.G. Forest and D.W. McLaughlin, J. Math. Phvs. 23:1248 (1982).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. E.A. Overman II, D.W. McLaughlin, and A.R. Bishop, Physica D 19:1 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. N. Ercolani, M.G. Forest, and D.W. McLaughlin, Phvsica D 43:349 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. D.W. McLaughlin and A.C. Scott, Phvs. Rev. A 18:1652 (1978).

    ADS  Google Scholar 

  5. P.S. Lomdahl, O.H. Soerensen, and P.L. Christiansen, Phvs. Rev. B 25:5737 (1982)

    ADS  Google Scholar 

  6. M.P. Soerensen, R.D. Parmentier, P.L. Christiansen, O. Skovgaard, B. Dueholm, E. Joergensen, V.P. Koshelets, O.A. Levring, R. Monaco, J. Mygind, N.F. Pedersen, and M.R. Samuelsen. Phvs. Rev. B 30:2640 (1984).

    ADS  Google Scholar 

  7. F. 1f, P.L. Christiansen, R.D. Parmentier, O. Skovgaard, and M.P. Soerensen, Phvs. Rev. B 32:1512 (1985).

    Google Scholar 

  8. S. Pagano, M.P. Soerensen, P.L. Christiansen, and R.D. Parmentier, Phvs. Rev. B 38:4677 (1988).

    Article  ADS  Google Scholar 

  9. G. Rotoli, G. Costabile, and R.D. Parmentier, Phvs. Rev. B 41:1958 (1990).

    ADS  Google Scholar 

  10. A. Cayley, “An Elementary Treatise on Elliptic Functions” 2nd ed., Dover Publications, Inc. (New York 1961).

    Google Scholar 

  11. P.F. Byrd and M.D. Friedman, “Handbook of Elliptic Integrals for Engineers amd Physicists”, Springer (New York 1954).

    Google Scholar 

  12. E.T. Whittaker and G.N. Watson, “A Course of Modern Analysis”, 4th ed. (Cambridge University Press, Cambridge, 1927).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Istituto di Cibernetica del Consiglio Nazionale delle Ricerche, 80072, Arco Felice, Italy

    M. G. Forest

  2. Department of Mathematics, The Ohio State University Columbus, Ohio, 43210, USA

    E. A. Overman II

  3. Laboratory of Applied Mathematical, Physics The Technical University of Denmark, DK-2800, Lyngby, Denmark

    P. L. Christiansen & M. P. Soerensen

  4. Physics Laboratory I, The Technical University of Denmark, Dk-2800, Lyngby, Denmark

    N. Grønbech-Jensen

  5. Department of Mathematics, Heriot-Watt University Riccarton-Edinburgh, Scotland

    R. Flesch

  6. Department of Mathematics and Program in Applied and Computational, Mathematics Princeton University Princeton, New Jersey, USA

    D. W. McLaughlin

  7. Department of Physics Salerno, University Salerno, 84081, Baronissi, Italy

    R. D. Parmentier & S. Pagano

Authors
  1. M. G. Forest
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  2. E. A. Overman II
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  3. P. L. Christiansen
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  4. M. P. Soerensen
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  5. N. Grønbech-Jensen
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  6. R. Flesch
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  7. D. W. McLaughlin
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  8. R. D. Parmentier
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  9. S. Pagano
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Editor information

Editors and Affiliations

  1. University of Salerno, Baronissi, Italy

    Giovanni Costabile

  2. CNR-Institute of Cybernetics, Arco Felice (Naples), Italy

    Sergio Pagano  & Maurizio Russo  & 

  3. The Technical University of Denmark, Lyngby, Denmark

    Niels Falsig Pedersen

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© 1991 Springer Science+Business Media New York

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Forest, M.G. et al. (1991). Application of the Bäcklund-Transformation in the Sine-Gordon System. In: Costabile, G., Pagano, S., Pedersen, N.F., Russo, M. (eds) Nonlinear Superconductive Electronics and Josephson Devices. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3852-3_30

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  • DOI: https://doi.org/10.1007/978-1-4615-3852-3_30

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6719-2

  • Online ISBN: 978-1-4615-3852-3

  • eBook Packages: Springer Book Archive

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