Exploring the Analytical Solutions to the Economical Model via Three Different Methods

Abstract

In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, ${\exp }_a$ function, extended sinh-Gordon equation expansion (EShGEE) and extended $\left(G^{\prime }/G\right)$ -expansion methods have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular, and other kinds of solutions. These solutions are obtained and also verified by a Mathematica tool. Some of the gained results are explained by 2-D, 3-D, and contour plots.