Constraints of the Kadomtsev–Petviashvili hierarchy

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  • Yi Cheng
    Department of Mathematics, University of Science and Technology of China, Hefei 230026, Anhui, People’s Republic of China

Bibliographic Information

Published
1992-11-01
DOI
  • 10.1063/1.529875
Publisher
AIP Publishing

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<jats:p>For the Kadomtsev–Petviashvili (KP) hierarchy constructed in terms of the famous Sato theory, a ‘‘k constraint’’ is proposed that leads the hierarchy to the nonlinear system involving a finite number of dynamical coordinates. The eigenvalue problem of the k-constrained system is naturally obtained from the linear system of the KP hierarchy, which takes the form of kth-order polynomial coupled with a first-order one, thus we are able to derive the correspondent Lax pair, recursion operator, bi-Hamiltonian structures, and conserved quantities. The constraints for the BKP hierarchy are also sketched.</jats:p>

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