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Two-component generalizations of the Novikov equation

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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… Click to show full 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: generalizations novikov; novikov equation; component generalizations; equation; two component

Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2019

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