Ferapontov2021_Article_Second-orderIntegrableLagrangi.pdf (501.57 kB)
Download fileSecond-order integrable Lagrangians and WDVV equations
journal contribution
posted on 27.04.2021, 11:10 by Evgeny FerapontovEvgeny Ferapontov, Maxim Pavlov, Lingling XueWe 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.
Funding
Challenges of dispersionless integrability: Hirota type equations
Engineering and Physical Sciences Research Council
Find out more...Russian Foundation for Fundamental Research (grant 18-51-18007)
National Natural Science Foundation of China (grant numbers: 11501312, 11775121 and 11631007)
History
School
- Science
Department
- Mathematical Sciences
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