HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 97-107.

HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS

曾云波

Department of Applied Mathematics, Tsinghua University, Beijing 100084, China

收稿日期:1995-05-30 修回日期:1995-07-05 出版日期:1997-03-25 发布日期:1997-03-25
基金资助:
Supported by Chinese National Basic Research Project "Nonlinear Science".

HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS

Zeng Yunbo

Department of Applied Mathematics, Tsinghua University, Beijing 100084, China

Received:1995-05-30 Revised:1995-07-05 Online:1997-03-25 Published:1997-03-25
Supported by:
Supported by Chinese National Basic Research Project "Nonlinear Science".

摘要/Abstract

摘要： By using the constraint relating potential and eigenfunctions, the decomposition of each equation in the Boussinesq hierarchy into two commuting finite-dimensional integrable Hamiltonian system (FDIHS) is presented. A method to construct the Lax representations for both x-and t_n-constrained flows via reduction of the adjoint representations of the auxiliary linear problems is developed.

关键词: constrained flow, Lax representation, decomposition, adjoint representation, zero-curvature equation

Abstract: By using the constraint relating potential and eigenfunctions, the decomposition of each equation in the Boussinesq hierarchy into two commuting finite-dimensional integrable Hamiltonian system (FDIHS) is presented. A method to construct the Lax representations for both x-and t_n-constrained flows via reduction of the adjoint representations of the auxiliary linear problems is developed.

Key words: constrained flow, Lax representation, decomposition, adjoint representation, zero-curvature equation

曾云波. HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS[J]. 数学物理学报(英文版), 1997, 17(1): 97-107.

Zeng Yunbo. HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS[J]. Acta mathematica scientia,Series B, 1997, 17(1): 97-107.

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HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS

HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS

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