A new extended KP hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Published in Phys. Lett. A, 13 pages

Scientific paper

10.1016/j.physleta.2008.02.070

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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