463 citations
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Showing 2009 · nlin.SIShow all
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nlin.SI2009★ 30 cited
Generalisations of the Camassa-Holm equation
Vladimir Novikov
We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of…
nlin.SI2009★ 8 cited
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Maxim V. Pavlov, Ziemowit Popowicz
The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associate…