Normal Transformation of the Eigenvalue Problem
Binlu Feng · Journal of Weifang University · 2009
In the paper,the necessary and sufficient condition for the eigenvalue problem φx(-ηU+V)φ,φ=φ1φ2U=u1 u2u3 u4,V=v1 v2v3 v4(1)to become the general eigenvalue problem φx=(-ηU′+V′)φ,φ=φ1φ2U′=-1-u 0 1,V′=0 v0 0(2)through normal transformation containing noη is pointed out and the expressionof normal transformation and the function u and v are given.Then further explained that the nonlinear evolution euqations corresponding to eigenvalue problem(2) can be transformed into nonlinear equations corresponding to eigenvalue problem(1).