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arXiv · 2212.01413

Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas

Pierandrea Vergallo·Evgeny V. Ferapontov
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Abstract

We demonstrate that linear degeneracy is a necessary condition for quasilinear systems of Jordan block type to possess first-order Hamiltonian structures. Multi-Hamiltonian formulation of linearly degenerate systems governing delta-functional reductions of the kinetic equation for dense soliton gas is established (for KdV, sinh-Gordon, hard-rod, Lieb-Liniger, DNLS, and separable cases).

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Pierandrea Vergallo, Evgeny V. Ferapontov. 2022-12-02. Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas. https://arxiv.org/abs/2212.01413

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