New Analytical Wave Structures for the (2+1)-Dimensional Chaffee-Infante Equation

The focus of this paper is the (2+1)-dimensional Chaffee-Infante equation (CIE). The model describes the diffusion of a gas in a homogeneous medium, which makes it an important tool in the research of mathematics and physics. The modified extended Tanh expansion method is employed. Many soliton solutions have been obtained by rigorous analysis and calculation. This method can generate various types of solutions including trigonometric, trigonometric-hyperbolic, rational, kink, singular, and periodic singular solitons. We also present some of the obtained solutions' 3D, contour, and 2D plots. In order to tackle complex nonlinear issues, the solutions are dependable, efficient, and manageable, and the generated results provide a basis for further research. The study's method used in this paper is characterised by its ability to generate simple, reliable and original solutions to nonlinear partial differential equations (NLPDEs) in mathematical physics. To the best of our knowledge, no such work has been done before for this problem. The Maple software has been used to check the correctness of each solution found.