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PreprintarXiv licencearXiv

Toda chain solves large BKP

Abstract

We prove that any solution of the Toda chain hierarchy (the 1D reduction of the 2D Toda lattice) is a solution of the large BKP hierarchy. This is a difference analogue of Alexandrov's result that KdV solves (small) BKP.

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BibTeX
@misc{zabrodin2026toda,
  title = {{Toda chain solves large BKP}},
  author = {Anton Zabrodin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28492},
  eprint = {2610.28492},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28492},
}
RIS
TY  - UNPB
TI  - Toda chain solves large BKP
AU  - Anton Zabrodin
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28492
UR  - https://arxiv.org/abs/2610.28492
AB  - We prove that any solution of the Toda chain hierarchy (the 1D reduction of the 2D Toda lattice) is a solution of the large BKP hierarchy. This is a difference analogue of Alexandrov's result that KdV solves (small) BKP.
ER  -