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arXiv · 1801.07312

On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems

Anatolij K. Prykarpatski
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Abstract

In this letter I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector fields, and applications to the Lax-Sato-type integrability of nonlinear dispersionless differential systems. The related contact geometry linearization covering scheme is also discussed. The devised techniques are demonstrated for such nonlinear Lax-Sato integrable equations as Gibbons-Tsarev, ABC, Manakov-Santini and the differential Toda singular manifold equations.

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Anatolij K. Prykarpatski. 2018-01-22. On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems. https://doi.org/10.3842/sigma.2018.023

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