A Hierarchy of Coupled Korteweg-de Vries Equations and the Corresponding Finite-Dimensional Integrable System (General)

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概要

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• By introducing a 4 × 4 matrix spectral problem with three potentials, A hierarchy of nonlinear evolution equations are derived. An interesting equation in the hierarchy is a coupled KdV equation. It is shown that the hierarchy possesses the generalized bi-Hamiltonian structures with the aid of the trace identity. Through the nonlinearization of eigenvalue problems, a new infinite-dimensional Hamiltonian system is presented, which is completely integrable in Liouville sense.

• 社団法人日本物理学会の論文
• 2004-02-15

著者

• Li C‐x

  State Key Laboratory Of Scientific And Engineering Computing Institute Of Computational Mathematics

• LI Chun-Xia

  State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics

関連論文

• Matrix Integrals and Several Integrable Differential-Difference Systems(General)
• Pfaffianization of the Differential-Difference KP Equation (General)
• A Hierarchy of Coupled Korteweg-de Vries Equations and the Corresponding Finite-Dimensional Integrable System (General)

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