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PreprintCC BY 4.0arXiv

The ABC-equation revisited: missed (quasi) integrable cases. Part II: extensions and actions

  • I. S. Krasil'shchik
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Abstract

We continue here the study of the \textsc{ABC}-equation Auxuyt + Buyuxt + Cutuxy = 0, A, B, C∈ℝ and using the results obtained in the first part construct new quasi-integrable structures and compute their actions on symmetries and cosymmetries.

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Cite

BibTeXRIS
BibTeX
@misc{krasilshchik2026abcequation,
  title = {{The ABC-equation revisited: missed (quasi) integrable cases. Part II: extensions and actions}},
  author = {I. S. Krasil'shchik},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28009},
  eprint = {2610.28009},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28009},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The ABC-equation revisited: missed (quasi) integrable cases. Part II: extensions and actions
AU  - I. S. Krasil'shchik
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28009
UR  - https://arxiv.org/abs/2610.28009
AB  - We continue here the study of the \textsc{ABC}-equation Au_xu_yt + Bu_yu_xt + Cu_tu_xy = 0, A, B, C∈ℝ and using the results obtained in the first part construct new quasi-integrable structures and compute their actions on symmetries and cosymmetries.
ER  -