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Title: Two-component generalizations of the Camassa-Holm equation
Authors: Hone, Andrew N.W.
Novikov, V.S.
Wang, Jing Ping
Issue Date: 2017
Publisher: © IOP Publishing Ltd & London Mathematical Society
Citation: HONE, A.N.W., NOVIKOV, V.S. and WANG, J.P., 2017. Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30(2), pp. 622-658.
Abstract: A classification of integrable two-component systems of non-evolutionary partial dif- ferential 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 of specific forms is carried out, in order to obtain bi-Hamiltonian structures for the same systems of equations. Using reciprocal transformations, some exact solutions and Lax pairs are also constructed for the systems considered.
Description: This is an Open Access Article. It is published by IOP Publishing under the Creative Commons Attribution 3.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/
Sponsor: ANWH is supported by Fellowship EP/M004333/1 from the Engineering and Physical Sciences Research Council (EPSRC). JPW and VN were partially supported by Research in Pairs grant no. 41418 from the London Mathematical Society; JPW was supported by the EPSRC grant EP/1038659/1.
Version: Published
DOI: 10.1088/1361-6544/aa5490
URI: https://dspace.lboro.ac.uk/2134/23633
Publisher Link: http://dx.doi.org/10.1088/1361-6544/aa5490
ISSN: 0951-7715
Appears in Collections:Published Articles (Maths)

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