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... |
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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 |
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| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Funders: |
Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
London Mathematical Society (https://ror.org/01r1e1h27) Engineering and Physical Sciences Research Council (https://ror.org/0439y7842) |
| Depositing User: | Andrew Hone |
| Date Deposited: | 10 Feb 2016 21:22 UTC |
| Last Modified: | 20 May 2025 11:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/54154 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Hone, Andrew N.W..
| Creator's ORCID: |
 https://orcid.org/0000-0001-9780-7369
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| CReDIT Contributor Roles: |
Wang, Jing Ping.
| Creator's ORCID: |
https://orcid.org/0000-0002-6874-5629
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| CReDIT Contributor Roles: |
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