Please use this identifier to cite or link to this item:
https://dspace.lboro.ac.uk/2134/28436
|
Title: | Systems of conservation laws with third-order Hamiltonian structures |
Authors: | Ferapontov, E.V. Pavlov, Maxim V. Vitolo, R.F. |
Keywords: | System of conservation laws Linear congruence Hamiltonian operator WDVV equation Projective group Reciprocal transformation Quadratic complex Monge metric |
Issue Date: | 2018 |
Publisher: | © Springer |
Citation: | FERAPONTOV, E.V., PAVLOV, M.V. and VITOLO, R.F., 2018. Systems of conservation laws with third-order Hamiltonian structures. Letters in Mathematical Physics, In Press. |
Abstract: | We investigate n-component systems of conservation laws that possess third-order Hamiltonian structures of differential-geometric type. The classiffication of such systems is reduced to the projective classiffication of linear congruences of lines in Pn+2 satisfying additional geometric constraints. Algebraically, the problem can be reformulated as follows: for a vector space W of dimension n + 2, classify n-tuples of skew-symmetric 2-forms Aα ∈ 2 Λ2(W) such that
φβγAβ∧Aγ= 0
for some non-degenerate symmetric φ.
. |
Description: | This paper is in closed access until 1st Feb 2019. |
Sponsor: | This work was supported by the GNFM of the Istituto Nazionale di Alta Matematica, the Is-
tituto Nazionale di Fisica Nucleare by IS-CSN4 Mathematical Methods of Nonlinear Physics, and the Dipartimento di Matematica e Fisica “E. De Giorgi” of the Universit`a del Salento. MVP’s work was partially supported by the grant of the Presidium of RAS ‘Fundamental Problems of Nonlinear Dynamics’. |
Version: | Accepted for publication |
DOI: | 10.1007/s11005-018-105-3 |
URI: | https://dspace.lboro.ac.uk/2134/28436 |
Publisher Link: | https://link.springer.com/article/10.1007/s11005-018-1054-3#enumeration https://doi.org/10.1007/s11005-018-105-3 |
ISSN: | 0377-9017 |
Appears in Collections: | Closed Access (Maths)
|
Files associated with this item:
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|