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Second-order integrable Lagrangians and WDVV equations
journal contribution
posted on 2021-04-27, 11:10 authored 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)
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School
- Science
Department
- Mathematical Sciences
Published in
Letters in Mathematical PhysicsVolume
111Issue
2Publisher
SpringerVersion
- VoR (Version of Record)
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© The AuthorsPublisher statement
This 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/Acceptance date
2021-04-12Publication date
2021-04-26Copyright date
2021ISSN
0377-9017eISSN
1573-0530Publisher version
Language
- en
Depositor
Prof Evgeny Ferapontov. Deposit date: 12 April 2021Article number
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