Hamiltonian aspects of the kinetic equation for soliton gas

Autor: Vergallo, Pierandrea, Ferapontov, Evgeny V.

We investigate Hamiltonian aspects of the integro-differential kinetic equation for dense soliton gas which results as a thermodynamic limit of the Whitham equations. Under a delta-functional ansatz, the kinetic equation reduces to a non-diagonalisab

Externí odkaz: http://arxiv.org/abs/2403.20162

Second-order integrable Lagrangians and WDVV equations

Autor: Ferapontov, Evgeny V., Pavlov, Maxim V., Xue, Lingling

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*} By deriving integrability conditions for the Lagrangian density $f$

Externí odkaz: http://arxiv.org/abs/2007.03768

Dispersionless Hirota equations and the genus 3 hyperelliptic divisor

Autor: Cléry, Fabien, Ferapontov, Evgeny V.

Equations of dispersionless Hirota type have been thoroughly investigated in the mathematical physics and differential geometry literature. It is known that the parameter space of integrable Hirota type equations in 3D is 21-dimensional and the actio

Externí odkaz: http://arxiv.org/abs/1804.07724

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Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6)

Autor: Doubrov, Boris, Ferapontov, Evgeny V, Kruglikov, Boris, Novikov, Vladimir S

Publikováno v: Doubrov B, Ferapontov EV, Kruglikov BS, Novikov VS. Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6). International mathematics research notices. 2019;2019(21):6585-6613

Externí odkaz: https://hdl.handle.net/10037/17941