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REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FOR CONSTRAINED FLOWS
引用本文:Zeng Yunbo. REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FOR CONSTRAINED FLOWS[J]. 数学年刊B辑(英文版), 1996, 17(2): 187-198
作者姓名:Zeng Yunbo
摘    要:

关 键 词:约束流动  LAX表示  伴随表示  孤子谱系
收稿时间:1993-12-20

REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FORCONSTRAINED FLOWS
Zeng Yunbo. REDUCTIONS OF ADJOINT REPRESENTATIONS TO LAX REPRESENTATIONS FORCONSTRAINED FLOWS[J]. Chinese Annals of Mathematics,Series B, 1996, 17(2): 187-198
Authors:Zeng Yunbo
Affiliation:DepartmentofAppliedMathematics,TsinghuaUniversity,Beijing100084,China.
Abstract:Within framwork of zero-curvature representation theory,the Lax reprsentations for x- and tn-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
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