2014/12/07 by Gerdjikov, Vladimir S., Mladenov, Dimitar M., Stefanov, Aleksander A. +1
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1412.2383
We have derived the hierarchy of soliton equations associated with the untwisted affine Kac-Moody algebra D^(1)4 by calculating the corresponding recursion operators. The Hamiltonian formulation of the equations from the hierarchy is also considered. As an example we have explicitly presented the first non-trivial member of the hierarchy, which is an one-parameter family of mKdV equations. We have also considered the spectral properties of the Lax operator and introduced a minimal set of scattering data.