Classification of the Travelling Wave Solutions of the Sharma–Tasso–Olver Equation
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The Sharma–Tasso–Olver (STO) equation is an integrable nonlinear partial differential equation that arises in various physical contexts, including fluid dynamics, plasma physics, and nonlinear optics. In this work, a complete analytical treatment of the travelling wave solutions of the STO equation is provided. The analysis reveals a family of exact solutions broader than those found in the literature.