Two hierarchies of integrable Hamiltonian equations. (Chinese. English summary) Zbl 0941.35087

Guo, Fukui

Math. Appl. 9, No. 4, 495-499 (1996).

Summary: Applying the modified Tu Guizhang scheme to the following isospectral problems \[ \psi_x= U\psi,\;U={1\over 2}\left( \begin{matrix} \lambda & q+r\\ \lambda(q-r) & -\lambda \end{matrix}\right), \text{ resp. }{1\over 2}\left( \begin{matrix} 1/\lambda & q+r\\ q-r & -1/\lambda \end{matrix}\right), \] two hierarchies of integrable Hamiltonian equations are obtained.

MSC:

35Q51	Soliton equations
37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

Keywords:

Tu Guizhang scheme; isospectral problems; hierarchies of integrable Hamiltonian equations