Construction of Infinite Series Exact Solitary Wave Solution of the KPI Equation via an Auxiliary Equation Method

The KPI equation is one of most well-known nonlinear evolution equations, which was first used to described two-dimensional shallow water wavs. Recently, it has found important applications in fluid mechanics, plasma ion acoustic waves, optics, and other fields. In the process studying these topics, very obtain exact solutions equation. this paper, a general Riccati treated as an auxiliary equation, solved many new types through several different function transformations. We solve using construct ten sets infinite series solitary wave solution results show that method simple effective for construction models.