An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures
classification
🌊 nlin.SI
keywords
extensionhamiltonianhierarchykadomtsev-petviashvilistructuresconsiderconstructformalism
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In this note we consider a two-component extension of the Kadomtsev-Petviashvili (KP) hierarchy represented with two types of pseudo-differential operators, and construct its Hamiltonian structures by using the $R$-matrix formalism.
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