Speaker
Prof.
Evgeny Ferapontov
(University of Loughbourough)
Description
We investigate the integrability of Euler-Lagrange equations associated with 2D second-order Lagrangians.
By deriving integrability conditions for the Lagrangian density, examples of integrable Lagrangians expressible via elementary functions,
Jacobi theta functions and dilogarithms are constructed. A link of second-order integrable Lagrangians to WDVV equations is established.
Generalisations to 3D second-order integrable Lagrangians are also discussed.
Based on:
E.V. Ferapontov, M.V. Pavlov, Lingling Xue,
Second-order integrable Lagrangians and WDVV equations, Lett. Math. Phys. (2021); doi:10.1007/s11005-021-01403-3; arXiv:2007.03768.
Primary author
Prof.
Evgeny Ferapontov
(University of Loughbourough)
Co-authors
Lingling Xue
M.V. Pavlov
