The connection of Monge-Bateman equations with ordinary differential equations and their generalisation

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dc.creatorLeznov, A. N.
dc.date1999-08-10
dc.date.accessioned2026-07-07T04:32:54Z
dc.date.available2026-07-07T04:32:54Z
dc.descriptionIt is shown that the Monge equation is equivalent to the ordinary differential equation $\ddot X=0$ of free motion. Equations of Monge type (with their general solutions) are connected with each ordinary differential equation of second order $\ddot X=F(\dot X,X; t)$, integrable by quadratures. The result is generalised to a system of equations of the second order, which is in one to one correspondence with the multidimensional Monge-Bateman system.
dc.descriptionLaTeX, 6 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9908013
dc.identifierhttp://arxiv.org/abs/math-ph/9908013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58373
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe connection of Monge-Bateman equations with ordinary differential equations and their generalisation
dc.typetext

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