Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas-Reference-Cited by-同舟云学术

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

Published:2023-10-01 Issue:10 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Vergallo P.¹²³^ORCID,Ferapontov E. V.⁴⁵^ORCID

Affiliation:

1. Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina 1 , V.le F. Stagno D’Alcontres 31, Messina 98166, Italy

2. Istituto Nazionale di Fisica Nucleare 2 , Sez. Lecce, Italy

3. Department of Mathematics ‘F. Enriques', University of Milano 3 , Via C. Saldini 50, Milano 20133, Italy

4. Department of Mathematical Sciences, Loughborough University 4 , Loughborough, Leicestershire LE11 3TU, United Kingdom

5. Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences 5 , 112, Chernyshevsky Street, Ufa 450077, Russia

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).

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0142689/18250264/103505_1_5.0142689.pdf

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