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

Generalized Kudryashov method insert ignore into journalissuearticles values(GKM);, which is one of the solution methods of nonlinear evolution equations insert ignore into journalissuearticles values(NLEEs);, has been used to obtain some solutions of Ivancevic option pricing model insert ignore into journalissuearticles values(IOPM); and insert ignore into journalissuearticles values(3+1);-dimensional nonlinear wave equation insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(2D); and three dimensional insert ignore into journalissuearticles values(3D); graphics of these solutions have been drawn with the help of Wolfram Mathematica 12.