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arXiv · 1401.2122

New integrable (3+1)-dimensional systems and contact geometry

A. Sergyeyev
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Abstract

We introduce a novel systematic construction for integrable (3+1)-dimensional dispersionless systems using nonisospectral Lax pairs that involve contact vector fields. In particular, we present new large classes of (3+1)-dimensional integrable dispersionless systems associated to the Lax pairs which are polynomial and rational in the spectral parameter.

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A. Sergyeyev. 2017-10-23. New integrable (3+1)-dimensional systems and contact geometry. https://doi.org/10.1007/s11005-017-1013-4

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