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Non-linear oscillators and solitons of maxwell—Bloch equations

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Czechoslovak Journal of Physics Aims and scope

Abstract

The Maxwell-Bloch equations of non-linear optics are represented as a continuous chain of C. Neumann oscillators onS 3. This representation enables us to find explicitely one-soliton solutions of the Maxwell-Bloch equations. These solutions form a two-parameter family and they correspond to the homoclinic orbits of the magnetic spherical pendula on the two-sphere.

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References

  1. P. Saksida: J. Phys. A: Math. Gen.38 (2005) 10321.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. P. Saksida: Nonlinearity19 (2006) 747.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. A.G. Reyman and M.A. Semenov-Tian-Shansky: Invent. Math.54 (1979) 81.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. A. Pressley and G. Segal:Loop Groups. Clarendon Press, Oxford 1986.

    MATH  Google Scholar 

  5. P. Saksida: J. Phys. A: Math. Gen.35 (2002) 5237.

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Saksida, P. Non-linear oscillators and solitons of maxwell—Bloch equations. Czech J Phys 56, 1275–1280 (2006). https://doi.org/10.1007/s10582-006-0437-3

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  • DOI: https://doi.org/10.1007/s10582-006-0437-3

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