Involutive Solutions and Commutator Representations of the Dirac Hierarchy

Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (1): 1-3.

Department of Mathematics,Liaoning University,Shenyang,110036

Received:1991-06-10 Online:1997-03-30 Published:2024-12-09
Supported by:
The proicct supported by the NNSFC

Abstract

Abstract: The Dirac hierarchy of isospectral evolution equations associated with the Dirac spectral problem are studied in this paper. The commutator representations of Dirac hierarchy are first presented, and then through the nonlinearization of Lax pair the involutive solutions of Dirac hierarchy are obtained.

Key words:

"> Dirac , hierarchy , commutator , representation , involutive , system, involutive , solution

CLC Number:

O175

Qiao Zhijun. Involutive Solutions and Commutator Representations of the Dirac Hierarchy[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 1-3.

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Involutive Solutions and Commutator Representations of the Dirac Hierarchy

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