New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations

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概要

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• Through taking a Bargmann symmetry constraint, the spectral problem and the adjoint spectral problem of KdV integrable hierarchy are transformed into a finite dimensional integrable Hamiltonian system in the Liouville sense. Meantime, under the control of this system (i.e. the spatial part), the time parts of the constrained Lax pairs and adjoint Lax pairs are reduced to a new hierarchy of commutative, finite dimensional integrable Hamiltonian systems in the Liouville sense, whose Hamiltonian functions constitute a series of integrals of motion for the spatial part of the constrained Lax pairs and adjoint Lax pairs.

• 社団法人日本物理学会の論文
• 1995-04-15

著者

• MA Wen-Xiu

  Institute of Mathematics, Fudan University

• Ma Wen-xiu

  Institute Of Mathematics Fudan University

関連論文

• Coupled Integrable Systems Associated with a Polynomial Spectral Problem and Their Virasoro Symmetry Algebras : Particles and fields
• New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations

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