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

摘要

It has been shown that the field equations for Charap's chiral invariant model of the pion dynamics pass the Painleve test for complete integrability in the sense of Weiss et 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.