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- W4378879683 abstract "We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Ampère partial differential equations and first-order Lagrangians. This condition is based on comparing effective differential forms on the first jet bundle. To illustrate and apply our approach, we study the linear Klein-Gordon equation, first and second heavenly equations of Plebański, Grant equation, and Husain equation, over a real four-dimensional manifold. Two approaches towards multisymplectic formulation of these equations are described." @default.
- W4378879683 created "2023-06-01" @default.
- W4378879683 creator A5005937515 @default.
- W4378879683 date "2023-01-01" @default.
- W4378879683 modified "2023-09-25" @default.
- W4378879683 title "Some Remarks on Multisymplectic and Variational Nature of Monge-Ampère Equations in Dimension Four" @default.
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- W4378879683 doi "https://doi.org/10.1007/978-3-031-25666-0_3" @default.
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