REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FORCONSTRAINED FLOWS

Citation:

Zeng Yunbo.REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FORCONSTRAINED FLOWS[J].Chinese Annals of Mathematics B,1996,17(2):187~198
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Authors:

Zeng Yunbo;

Foundation:

Project supported by the National Basic Reseach Project ``Nonlinear Science''
Abstract: Within framework of zero-curvature representation theory, the Lax representations for $x$- and $t_n$-constrained flows of soliton hierarchy are obtained from reductions of adjoint representations of the auxiliary linear problems. This method is applied to the third order spectral problem by taking modified Boussinesq hierarchy as an illustrative example.

Keywords:

Constrained flow, Lax representation, Adjoint representation,Soliton hierarchy

Classification:

35Q58
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