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arXiv · 1711.07395

Integrable (3+1)-dimensional systems with rational Lax pairs

A. Sergyeyev
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Abstract

The search for new integrable (3+1)-dimensional partial differential systems is among the most important challenges in the modern integrability theory. It turns out that such a system can be associated to any pair of rational functions of one variable in general position, as established below using contact Lax pairs introduced in arXiv:1401.2122.

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A. Sergyeyev. 2017-11-20. Integrable (3+1)-dimensional systems with rational Lax pairs. https://doi.org/10.1007/s11071-017-3973-4

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