Abstract
The nonlinear two dimensional Zakharov-Kuznetsov modified equal width equation investigated under the observation of extended modified rational expansion method and determined the multiple solitary wave solutions. The interested and important things in this work is the multiple solitary wave solutions which have various kinds of physical structure including anti-kink soliton, travelling wave solutions, bright soliton, kink soliton, dark soliton, kink bright and dark solitons, anti-kink bright and dark solitons. In our knowledge investigated various kinds of solitary solutions found first time under one method in the existing literatures. The constructed multiple solutions for nonlinear ZK-MEW equation will play keen role in the investigation of different physical structure in nonlinear sciences. The investigated work prove that applied method is very efficient, reliable, and powerful.