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arxiv: 0710.4015 · v2 · submitted 2007-10-22 · 🌊 nlin.SI

A new extended KP hierarchy

classification 🌊 nlin.SI
keywords hierarchysourcesconstructextendedadmitsequationequationsgelfand-dickey
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A method is proposed to construct a new extended KP hierarchy, which includes two types of KP equation with self-consistent sources and admits reductions to k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources. It provides a general way to construct soliton equations with sources and their Lax representations.

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