PreprintarXiv licencearXiv
A new family of Darboux integrable partial differential equations
Abstract
A new family of Darboux integrable partial differential equations is constructed. The minimal orders of integrals in both characteristics can simultaneously be arbitrarily high for equations within this family. This suggests that the complete list of Darboux integrable equations may contain substantially more equations than are currently known.
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BibTeX
@misc{startsev2026family,
title = {{A new family of Darboux integrable partial differential equations}},
author = {S. Ya. Startsev},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27709},
eprint = {2608.27709},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27709},
}
RIS
TY - UNPB
TI - A new family of Darboux integrable partial differential equations
AU - S. Ya. Startsev
PY - 2026
DA - 2026/08/27
PB - arXiv
DO - 10.48550/arxiv.2608.27709
UR - https://arxiv.org/abs/2608.27709
AB - A new family of Darboux integrable partial differential equations is constructed. The minimal orders of integrals in both characteristics can simultaneously be arbitrarily high for equations within this family. This suggests that the complete list of Darboux integrable equations may contain substantially more equations than are currently known.
ER -