2010•Advanced materials researchOpen access

A New Hierarchy of Evolution Equations and its Integrable System

Shu Juan Yuan, Mei Xia Chen

Abstract

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

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Available abstract

Key concepts: Eigenfunction, Integrable system, Eigenvalues and eigenvectors, Hierarchy, Constraint (computer-aided design), Mathematics, Matrix (chemical analysis), Applied mathematics