A modified Bäcklund transformation and multi-soliton solution for the Boussinesq equation

It is shown that a modified Bäcklund transformation is presented by the dependent variable transformation. Starting from it, a new representation of N-soliton solution and a class of novel multi-soliton solution of the Boussinesq equation have been derived. We also find the novel soliton solution may be deduced by limiting.