r-Matrix for the Restricted KdV Flows with the Neumann Constraints
作者:
Ruguang Zhou,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1998)
卷期:
Volume 5,
issue 2
页码: 181-189
ISSN:1402-9251
年代: 1998
DOI:10.2991/jnmp.1998.5.2.9
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Under the Neumann constraints, each equation of the KdV hierarchy is decomposed into two finite dimensional systems, including the well-known Neumann model. Like in the case of the Bargmann constraint, the explicit Lax representations are deduced from the adjoint representation of the auxiliary spectral problem. It is shown that the Lax operator satisfies ther-matrix relation in the Dirac bracket. Thus, the integrabilities of these resulting systems with the Neumann constraints are obtained.
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