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, 2018, Volume 14, 096, 49 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.096
(Mi sigma1395)
 

The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables

Sara Froehlich

Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC H3A 0B9 Canada
References:
Abstract: This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J. 87 (1997), 265–319]. The constrained variational bi-complex is introduced and used to define form-valued conservation laws. A method for generating conservation laws from solutions to the adjoint of the linearized system associated to a system of PDEs is given. Finally, Darboux integrability for a system of three equations is discussed and a method for generating infinitely many conservation laws for such systems is described.
Keywords: Laplace transform; conservation laws; Darboux integrable; variational bi-complex; hyperbolic second-order equations.
Received: December 11, 2017; in final form August 24, 2018; Published online September 9, 2018
Bibliographic databases:
Document Type: Article
MSC: 35L65; 35A30; 58A15
Language: English
Citation: Sara Froehlich, “The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables”, SIGMA, 14 (2018), 096, 49 pp.
Citation in format AMSBIB
\Bibitem{Fro18}
\by Sara~Froehlich
\paper The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
\jour SIGMA
\yr 2018
\vol 14
\papernumber 096
\totalpages 49
\mathnet{http://mi.mathnet.ru/sigma1395}
\crossref{https://doi.org/10.3842/SIGMA.2018.096}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000444055900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85053666512}
Linking options:
  • https://www.mathnet.ru/eng/sigma1395
  • https://www.mathnet.ru/eng/sigma/v14/p96
  • 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
    Statistics & downloads:
    Abstract page:259
    Full-text PDF :19
    References:19
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024