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arXiv · 2502.16386

A search for integrable evolution equations with Lax pairs over the octonions

Stephen C. Anco·Philic Lam·Thomas Wolf
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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.

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Stephen C. Anco, Philic Lam, Thomas Wolf. 2025-02-23. A search for integrable evolution equations with Lax pairs over the octonions. https://arxiv.org/abs/2502.16386

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