New Solutions for IOPM and (3+1)-Dimensional NLWE in Liquid with Gas Bubbles

Year 2022, Volume: 12 Issue: 4, 2425 - 2436, 01.12.2022

Şeyma Tülüce Demiray , Emre Ceren

https://doi.org/10.21597/jist.1130700

Abstract

Generalized Kudryashov method (GKM), which is one of the solution methods of nonlinear evolution equations (NLEEs), has been used to obtain some solutions of Ivancevic option pricing model (IOPM) and (3+1)-dimensional nonlinear wave equation (NLWE) in liquid with gas bubbles. Thus, some solutions of the discussed equations have been found such as dark soliton, trigonometric and hyperbolic solutions. Two dimensional (2D) and three dimensional (3D) graphics of these solutions have been drawn with the help of Wolfram Mathematica 12.

Keywords

GKM, Ivancevic option pricing model, (3+1)-dimensional NLWE in liquid with gas bubbles, soliton solutions

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