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Soliton surfaces

VII. — Relativistic string in external field: General integral and particular solutions

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Lettere al Nuovo Cimento (1971-1985)

Summary

The general integral of the equations of motion of a relativistic string in a constant external field is given. TheN-soliton excitations are constructed and a particular solution (one-soliton excitation) is discussed. The one soliton excitation gives rise to a motion analogous to the helicoidal motion of an electron in a constant magnetic field.

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References

  1. M. Kalb andP. Ramond:Phys. Rev. D,9, 2273 (1974).

    Article  ADS  Google Scholar 

  2. F. Lund andT. Regge:Phys. Rev. D,14, 1524 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. K. Pohlmeyer:Commun. Math. Phys.,46, 207 (1976);B. Getmanov:Theor. MathPhys. (USSR),38, 186 (1979).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. F. Lund:Ann. Phys. (N. Y.),115, 251 (1978).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. G. Scheffers:Anwendung der differential und untegralrechnung auf Geometrie II (Berlin, 1902).

  6. A. Sym:Lett. Nuovo Cimento,41, 353 (1984).

    Article  MathSciNet  Google Scholar 

  7. A. Sym:Soliton surfaces and their applications, inProceedings of the Scheveningen Conference, 1984, to bo published inLect. Notes Math.

  8. D. Levi, A. Sym andS. Wojciechowski:J. Phys. A: Math. Gen.,16, 2423 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. H. Steudel:Physica (Utrecht) D,6, 155 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. M. Bruschi andO. Ragnisco:Nuovo Cimento B,88, 119 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  11. V. E. Zakharov, S.V. Manakov, S. P. Novikov andL. P. Pitaevsky:Theory of Solitons (Nauka, Moscow, 1980);M. J. Ablowitz andH. Segur:Solitons and the Inverse Scattering Transform (Siam, Philadelphia, Penn., 1981).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica dell’ Università « La Sapienza », Roma, Italia

    A. Sym

  2. Institute for Theoretical Physics, Warsaw University, U1 Hoza 69, 00681, Warsaw, Poland

    A. Sym, O. Ragnisco, D. Levi & M. Bruschi

  3. Sezione di Roma, Istituto Nazionale di Fisica Nucleare, Italia

    O. Ragnisco, D. Levi & M. Bruschi

Authors
  1. A. Sym
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  2. O. Ragnisco
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  3. D. Levi
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  4. M. Bruschi
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Additional information

This research has been performed in the framework of the exohange program between Warsaw and Rome University.

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Sym, A., Ragnisco, O., Levi, D. et al. Soliton surfaces. Lett. Nuovo Cimento 44, 529–536 (1985). https://doi.org/10.1007/BF02746755

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  • DOI: https://doi.org/10.1007/BF02746755

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