Yildirim, Ahmet2019-10-272019-10-2720090022-24880022-2488https://doi.org/10.1063/1.3077223https://hdl.handle.net/11454/41433In this paper, we studied the Boussinesq-like equations with fully nonlinear dispersion B(m,n) equations which exhibit solutions with solitary patterns. New exact solitary solutions of the equations are found. The two special cases, B(2,2) and B(3,3), are chosen to illustrate the concrete scheme of the homotopy perturbation method in B(m,n) equations. The nonlinear equations B(m,n) are addressed for two different cases, namely when m=n being odd and even integers. General formulas for the solutions of B(m,n) equations are established.en10.1063/1.3077223info:eu-repo/semantics/closedAccessdispersion (wave)nonlinear equationsperturbation theorysolitonsArticle502WOS:000263803900024Q3