Second-order integrable Lagrangians and WDVV equations
journal contributionposted on 2021-04-27, 11:10 authored by Evgeny FerapontovEvgeny Ferapontov, Maxim Pavlov, Lingling Xue
We investigate the integrability of Euler-Lagrange equations associated with 2D second-order Lagrangians of the form Z f(uxx, uxy, uyy) dxdy. By deriving integrability conditions for the Lagrangian density f, 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.
Challenges of dispersionless integrability: Hirota type equations
Engineering and Physical Sciences Research CouncilFind out more...
Russian Foundation for Fundamental Research (grant 18-51-18007)
National Natural Science Foundation of China (grant numbers: 11501312, 11775121 and 11631007)
- Mathematical Sciences