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A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy

A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy
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摘要 In this paper, a new completely integrable system related to the complex spectral problem -φ xx+(i/4)wpx+(i/4)(wp)x+(1/4)vφ=iλφxand the constrained flows of the Boussinesq equations axe generated. According to the viewpoint of Hamiltonian mechanics, the Euler-Lagrange equations and the Legendre transformations, a reasonable Jacobi-Ostrogradsky coordinate system is obtained. Moreover, by means of the constrained conditions between the potentiaJ u, v and the eigenfunction φ, the involutive representations of the solutions for the Boussinesq equation hieraxchy axe given.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第12期1081-1086,共6页 理论物理通讯(英文版)
关键词 eigenvalue problem constraint flow symplectic manifold completely integrability involutive representation 有限维可积系统 Boussinesq方程 完全可积系统 拉格朗日方程 Jacobi 可湿性粉剂 勒让德变换 坐标系统
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