Exact solutions of higher-dimensional nonlinear equations takes a major place in the study phenomena observed nature. In this article, some new kink type are investigated for (3+1)-dimensional Boiti-Leon-Manna-Pempinelli(BLMP) equation. Firstly, variety obtained by Hirota’s bilinear form, which include wave solution, periodic solitary and singular using extended homoclinic test approach. Second...