A New Hierarchy of Evolution Equations and its Integrable System
Shu Juan Yuan, Mei Xia Chen · Advanced materials research · 2010
The second-order matrix eigenvalue problem is discussed by means of the nonlinearization of the Lax pairs,then based on the Bargmann constraint between the potential and the eigenfunctions,a new finite-dimensional Hamilton system is abtained by nonlinearization of the eigenvalue problem and the involutive solutions of the evolution equations are abtained