paper

The Boussinesq equation and Miura type transformations

arXiv:nlin/0412056

Abstract

A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonlocal (Maltsev-Novikov) Hamiltonian structures. Modified systems are presented.

to appear in Journal of Mathematical Sciences