A search for integrable evolution equations with Lax pairs over the octonions
Exactly Solvable and Integrable Systems
2025-02-25 v1 Mathematical Physics
math.MP
Abstract
Four new integrable evolutions equations with operator Lax pairs are found for an octonion variable. The method uses a scaling ansatz to set up a general polynomial form for the evolution equation and the Lax pair, using KdV and mKdV scaling weights. A condition for linear differential operators to be a Lax pair over octonions is formulated and solved for the unknown coefficients in the polynomials.
Cite
@article{arxiv.2502.16386,
title = {A search for integrable evolution equations with Lax pairs over the octonions},
author = {Stephen C. Anco and Philic Lam and Thomas Wolf},
journal= {arXiv preprint arXiv:2502.16386},
year = {2025}
}
Comments
Proceedings of XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28)