Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 081, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.081 (Mi sigma2083) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure

Xin Hu, Matteo Casati

School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P.R. China
Full-text PDF (449 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2024.081
URL: https://www.emis.de/journals/SIGMA/2024/081/
Abstract: In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the conditions is related to the Poisson cohomology of the admissible Hamiltonian operators. We present in detail the examples of two-dimensional, two-components systems of hydrodynamic type and of a real reduction of the 3-waves system.
Keywords: Hamiltonian structures, quasilinear systems, non-homogeneous operators.
Funding agency Grant number
National Natural Science Foundation of China 12101341
This work was sponsored by the National Science Foundation of China (grant no. 12101341), Ningbo City Yongjiang Innovative Talent Program and Ningbo University Talent Introduction and Resarch Initiation Fund.
Received: July 9, 2024; in final form September 4, 2024; Published online September 10, 2024
Bibliographic databases:
Document Type: Article
MSC: 37K10, 37K25
Language: English
Citation: Xin Hu, Matteo Casati, “Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure”, SIGMA, 20 (2024), 081, 17 pp.
Citation in format AMSBIB
\Bibitem{HuCas24}
\by Xin~Hu, Matteo~Casati
\paper Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
\jour SIGMA
\yr 2024
\vol 20
\papernumber 081
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma2083}
\crossref{https://doi.org/10.3842/SIGMA.2024.081}
Linking options:
  • https://www.mathnet.ru/eng/sigma2083
  • https://www.mathnet.ru/eng/sigma/v20/p81
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025