Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas
journal contribution
posted on 2023-09-11, 15:18 authored by P. Vergallo, Evgeny FerapontovEvgeny FerapontovWe 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).
Funding
GNFM of the Istituto Nazionale di Alta Matematica (INdAM)
Research project Mathematical Methods in Non-Linear Physics (MMNLP)
Commissione Scientifica Nazionale – Gruppo 4 – Fisica Teorica of the Istituto Nazionale di Fisica Nucleare (INFN)
PRIN 2017 “Multiscale phenomena in Continuum Mechanics: singular limits, off-equilibrium and transitions”, project number 2017YBKNCE
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Mathematical PhysicsVolume
64Issue
10Publisher
AIP PublishingVersion
- AM (Accepted Manuscript)
Rights holder
© Author(s)Publisher statement
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in P. Vergallo, E. V. Ferapontov; Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas. J. Math. Phys. 1 October 2023; 64 (10): 103505. https://doi.org/10.1063/5.0142689 and may be found at https://doi.org/10.1063/5.0142689.Acceptance date
2023-09-06Publication date
2023-10-16Copyright date
2023ISSN
0022-2488eISSN
1089-7658Publisher version
Language
- en
