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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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
Keywords
- Painlevé analysis
- integrability
- auto-Backlund transformations
- exact solutions
- pion dynamics
- chiral invariance