摘要
Within the framework of zero-curvature representation theory, the decompositions of eachequation in a hierarchy of zero-curvature equations associated with loop algebra 81(2) by meansof higher-order constraints on potential are given a unified treatment, and the general schemeand uniform formulas for the decompositions are proposed. This provides a method of separationof variables to solve a hierarchy of (1+1)-dimensional integrable systems. TO illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations arepresented.
Within the framework of zero-curvature representation theory, the decompositions of eachequation in a hierarchy of zero-curvature equations associated with loop algebra 81(2) by meansof higher-order constraints on potential are given a unified treatment, and the general schemeand uniform formulas for the decompositions are proposed. This provides a method of separationof variables to solve a hierarchy of (1+1)-dimensional integrable systems. TO illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations arepresented.
