Special Session 49: 

The extended equation of long waves: integrability and the related systems

Qing Ping Liu
China University of Mining and Technology
Peoples Rep of China
Co-Author(s):    
Abstract:
An extension of the equation of long waves was proposed by Boris Kupershmidt. We will construct a Lax representation for this system and show that it is related to a system associated with the energy-dependent Schrodinger problem of Antonowicz and Fordy. Possible modifications and dual systems are also worked out.