22 citations · 60 across the 11 of their papers we have counts for
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nlin.SI2020★ 4 cited
Second-order integrable Lagrangians and WDVV equations
Evgeny V. Ferapontov, Maxim V. Pavlov, Lingling Xue
We investigate integrability of Euler-Lagrange equations associated with 2D second-order Lagrangians of the form \begin{equation*} \int f(u_{xx},u_{xy},u_{yy})\ dxdy. \end{equation…
nlin.SI2020★ 11 cited
Quasilinear systems of Jordan block type and the mKP hierarchy
Lingling Xue, E. V. Ferapontov
We demonstrate that commuting quasilinear systems of Jordan block type are parametrised by solutions of the modified KP hierarchy. Systems of this form naturally occur as hydrodyna…