Pekcan, A.2016-02-082016-02-0820091402-9251http://hdl.handle.net/11693/22737We show that we can apply the Hirota direct method to some non-integrable equations. For this purpose, we consider the extended Kadomtsev-Petviashvili- Boussinesq (eKPBo) equation with M variable which is (uxxx-6uu x)x + a11uxx + 2ΣMk=2 a1kuxk + ΣMi,j=2aijuxixj=0, where aij = a ji are constants and xi = (x, t, y, z,⋯,x M). We will give the results for M = 3 and a detailed work on this equation for M = 4. Then we will generalize the results for any integer M > 4. © 2009 The Author(s).EnglishBoussinesq equationExact solutionsKadomtsev Petviashvili equationNon - integrable equationsSolitonsThe Hirota direct methodArticle10.1142/S1402925109000121