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)

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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
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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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Andrew N W Hone
Date Deposited: 10 Feb 2016 21:22 UTC
Last Modified: 29 May 2019 16:59 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
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