Geodesic
On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: covering jet manifold; linearization; Hamilton–Jacobi equations; Lax–Sato representation; ABC equation; Gibbons–Tsarev equation; Manakov–Santini equation; contact geometry; differential Toda singular manifold equations. 
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     title = {On the {Linearization} {Covering} {Technique} and its {Application} to {Integrable} {Nonlinear} {Differential} {Systems}},
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}
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Anatolij K. Prykarpatski. On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a22/

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