Special Session 141: 

The special second integral of the KdV

Yuqi Li
East China Normal University
Peoples Rep of China
Co-Author(s):    Y. Chen, S. Y. Lou
Abstract:
The solution structure of the KdV equation is studied in light of the {\sl special second integral }. The special second integral distinguishes itself from the general ones by that it is a more natural generalization of the first integral. Though the KdV have been studied so vastly and deeply, some completely new aspects of the second integrals of KdV are discovered. The complete understanding for the result is still missing.