Classical Completely Integrable System Generated through Nonlinearization of an Eigenvalue Problem

摘要

Under the Bargmann constrained condition, the spatial part of a new Lax pairof the higher order MkdV equation is nonlinearized to be a completely integrable system(R^2N,dp∧dq, H0=1/2F0)(F0=〈Aq,p〉+〈Ap, p〉+〈p,q〉^2). While the nonlinearization of the time part leads to its N-involutive system (Fm).