Ferapontov2021_Article_Second-orderIntegrableLagrangi.pdf (501.57 kB)
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
Published inLetters in Mathematical Physics
- VoR (Version of Record)
Rights holder© The Authors
Publisher statementThis is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/