New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like image equations with nonlinear dispersion Original Research Article

In this paper, exact solutions of the generalized Boussinesq-like B(m,n)B(m,n) equation with nonlinear dispersion utt+a(un)xx+b(um)xxxx=0,m,n∈Rutt+a(un)xx+b(um)xxxx=0,m,n∈R are investigated. As a result, under different parameter conditions, abundant compactons, peakons and solitary solutions, which include not only some known results but also some new ones, are obtained. The approach we used is simple and also suitable for studying the traveling wave solutions of some other equations.