New solitary solutions with compact support for Boussinesq-like B(2n, 2n) equations with fully nonlinear dispersion

In this paper, the Boussinesq-like equations with fully nonlinear dispersion, B(2n, 2n) equations: utt + (u2n)xx + (u2n)xxxx = 0 which exhibit compactons: solitons with compact support, are studied. New exact solitary solutions with compact support are found. The special case B(2, 2) is chosen to illustrate the concrete scheme of the decomposition method in B(2n, 2n) equations. General formulas for the solutions of B(2n, 2n) equations are established.