Title of article
Commutativity of the extended KP flows
Author/Authors
Ma، نويسنده , , Wen-Xiu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
9
From page
722
To page
730
Abstract
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.
Keywords
The KP hierarchy , Sato’s theory , Lax representation , Pseudo-differential operator , Constrained soliton hierarchy
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2011
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1535709
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