Lu, D.Tariq, K.U.Osman, M.S.Baleanu, DumitruYounis M., Younis MKhater, M.M.A.2024-04-252024-04-252019Lu D.;...et.al. (2019). "New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications", Results in Physics, Vol.14.22113797http://hdl.handle.net/20.500.12416/7976Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applicationseninfo:eu-repo/semantics/openAccessBoussinesq EquationKadomtsev-Petviashvili EquationSolitary Wave Ansatz MethodSolitonsArticle1410.1016/j.rinp.2019.102491