19 citations · 25 across the 5 of their papers we have counts for
6 papers
On a class of 3D second-order integrable Lagrangians and their dispersive deformations
Lingling Xue, E. V. Ferapontov, M. V. Pavlov
We investigate integrability of Euler-Lagrange equations associated with 3D second-order Lagrangians of the form \begin{equation*} \int f(u_{xy},u_{xt},u_{yt})\ \text{d}x\text{d}y\…
Lagrangian formulation of the Darboux system
Lingling Xue, E. V. Ferapontov, M. V. Pavlov
The classical Darboux system governing rotation coefficients of three-dimensional metrics of diagonal curvature possesses an equivalent formulation as a sixth-order PDE for a scala…
Kinetic equation for soliton gas: integrable reductions
E. V. Ferapontov, M. V. Pavlov
Macroscopic dynamics of soliton gases can be analytically described by the thermodynamic limit of the Whitham equations, yielding an integro-differential kinetic equation for the d…
Integrable systems of the intermediate long wave type in 2+1 dimensions
B. Gormley, E. V. Ferapontov, V. S. Novikov +1
We classify 2+1 dimensional integrable systems with nonlocality of the intermediate long wave type. Links to the 2+1 dimensional waterbag system are established. Dimensional reduct…
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…
Remarks on the Lagrangian representation of bi-Hamiltonian equations
M. V. Pavlov, R. F. Vitolo
The Lagrangian representation of multi-Hamiltonian PDEs has been introduced by Y. Nutku and one of us (MVP). In this paper we focus on systems which are (at least) bi-Hamiltonian b…