Two-component generalizations of the Camassa-Holm equation

Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2017) Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30 (2). pp. 622-658. ISSN 0951-7715. E-ISSN 1361-6544. (doi:10.1088/1361-6544/aa5490) (KAR id:54154)

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Official URL: http://iopscience.iop.org/article/10.1088/1361-654...

Abstract

A classification of integrable two-component systems of non-evolutionary partial differential equations that are analogous to the Camassa-Holm equation is carried out via the perturbative symmetry approach. Independently, a classification of compatible pairs of Hamiltonian operators is carried out, which leads to bi-Hamiltonian structures for the same systems of equations. Some exact solutions and Lax pairs are also constructed for the systems considered.

Item Type:	Article
DOI/Identification number:	10.1088/1361-6544/aa5490
Projects:	Cluster algebras with periodicity and discrete dynamics over finite fields, Research in Pairs, Structure of partial difference equations with continuous symmetries & conservation laws
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA351 Special functions Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Q Science > QC Physics > QC20 Mathematical Physics
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	[UNSPECIFIED] Engineering and Physical Sciences Research Council [UNSPECIFIED] London Mathematical Society [UNSPECIFIED] Engineering and Physical Sciences Research Council
Depositing User:	Andrew Hone
Date Deposited:	10 Feb 2016 21:22 UTC
Last Modified:	16 Feb 2021 13:33 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/54154 (The current URI for this page, for reference purposes)
Hone, Andrew N.W.:	https://orcid.org/0000-0001-9780-7369
Wang, Jing Ping:	https://orcid.org/0000-0002-6874-5629

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