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Painlevé test for integrability and exact solutions for the field equations for Charap’s chiral invariant model of the pion dynamics

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Abstract

It has been shown that the field equations for Charap’s chiral invariant model of the pion dynamics pass the Painlevé test for complete integrability in the sense of Weisset al. The truncation procedure of the same analysis leads to auto-Backlund transformation between two pairs of solutions. With the help of this transformation non-trivial exact solutions have been rediscovered

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References

  1. J M Charap,J. Phys. A6, 987 (1973)

    ADS  Google Scholar 

  2. J M Charap,J. Phys. A9, 1331 (1976)

    ADS  Google Scholar 

  3. J Weiss, M Tabor and G Carnevale,J. Math. Phys. 24, 522 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. J Weiss,J. Math. Phys. 24(6), 1405 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. P K Chanda and A Roy Chowdhury,J. Math. Phys. 29(4), 843 (1988)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. R Courant and D Hilbert,Methods of mathematical physics (Interscience, NY, 1962) vol. II

  7. M J Ablowitz,J. Math. Phys. 21, 715 (1980)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. H Yoshida,Celestial Mechanics 81, 363 (1983)

    Article  ADS  Google Scholar 

  9. H Yoshida,Celestial Mechanics 81, 381 (1983)

    Article  ADS  Google Scholar 

  10. D Ray,J. Phys. A11(5), 995 (1978)

    ADS  Google Scholar 

  11. S Chakraborty and P K Chanda,Pramana J. Phys. 52(6), 579 (1999)

    ADS  Google Scholar 

  12. P K Chanda, D Ray and U K De,J. Math. Phys. 25(8), 2557 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  13. S Chakraborty and P K Chanda,Pramana J. Phys. 52(3), 245 (1999)

    Google Scholar 

  14. S Chakraborty and P K Chanda,Pramana J. Phys. 63(5), 1039 (2004)

    ADS  Google Scholar 

  15. C N Yang,Phys. Rev. Lett. 38(24), 1377 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  16. M M Enikova, V I Karloukovski and C I Velchev,Nucl. Phys. B151, 172 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  17. A A Anslem,Phys. Lett. B217, 169 (1989)

    ADS  Google Scholar 

  18. A L Larsen,Phys. Lett. A179, 284 (1993)

    ADS  Google Scholar 

  19. S Roychowdhury,Phys. Lett. A159, 311 (1991)

    ADS  Google Scholar 

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Chakraborty, S., Krishna Chanda, P. Painlevé test for integrability and exact solutions for the field equations for Charap’s chiral invariant model of the pion dynamics. Pramana - J Phys 66, 961–969 (2006). https://doi.org/10.1007/BF02708451

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  • DOI: https://doi.org/10.1007/BF02708451

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