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摘要
In this paper, a new completely integrable system related to the complex spectral problem -phi(xx) (i/4)u phi(x) (i/4)(u phi)(x) (1/4)v phi = i lambda phi(x) and the constrained flows of the Boussinesq equations are 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 potential u, v and the eigenfunction phi, the involutive representations of the solutions for the Boussinesq equation hierarchy are given.
- 出版日期2009-12
- 单位石家庄学院
