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Commutativity of the extended KP flows

Commutativity of the extended KP flows,10.1016/j.cnsns.2010.05.016,Communications in Nonlinear Science and Numerical Simulation,Wen-Xiu Ma

Commutativity of the extended KP flows   (Citations: 1)
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The commutativity problem of the extended KP hierarchy is analyzed. The compatibility equation of two extended KP flows is constructed, together with its Lax representations involving two extended Lax operators. The resulting theory shows that the extended KP hierarchy is a natural generalization of the KP flows, but does not commute unlike the constrained KP hierarchy. A few particular examples are computed, along with their Lax pairs.
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