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arXiv · 1602.03431

Two-component generalizations of the Camassa-Holm equation

Andrew N. W. Hone·Vladimir Novikov·Jing Ping Wang
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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.

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Andrew N. W. Hone, Vladimir Novikov, Jing Ping Wang. 2016-02-10. Two-component generalizations of the Camassa-Holm equation. https://doi.org/10.1088/1361-6544/aa5490

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