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Two-component generalizations of the Novikov equation
Authors:Hongmin Li
Affiliation:Schools of Mathematics, Huaqiao University, Quanzhou, Fujian 362021, P R China
Abstract:Some two-component generalizations of the Novikov equation, except the Geng-Xue equation, are presented, as well as their Lax pairs and bi-Hamiltonian structures. Furthermore, we study the Hamiltonians of the Geng-Xue equation and discuss the homogeneous and local properties of them.
Keywords:Camassa-Holm type equation  Lax pair  Bi-Hamiltonian structure
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