On two-current realization of KP hierarchy

@article{HAratyn1992OnTR,
  title={On two-current realization of KP hierarchy},
  author={H.Aratyn and L A Ferreira and J F Gomes and Abraham Hirsz Zimerman},
  journal={Nuclear Physics},
  year={1992},
  volume={402},
  pages={85-117}
}
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References

SHOWING 1-10 OF 65 REFERENCES
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