Analytical investigation and graphical simulations for the solitary wave behavior of Chaffee–Infante equation

Abstract

Chaffee–Infante equation has several useful applications in the field of electromagnetic waves, fluid dynamics, plasma physics, signal processing in optical fibers and sound waves. In this study, the (1+1)-D and (2+1)-D forms of the Chaffee–Infante equation are theoretically investigated to determine the variations in wave structure of the considered model by finding the analytical exact closed form solutions of the considered equations. The expressions for traveling wave solution are retrieved which involve rational, hyperbolic and trigonometric functions, through the (G′G,1G)-expansion method for analytical treatment of the equation for the first time. The solitons and other traveling wave structures are observed through two and three dimensional graphical simulations.

Keywords

• Chaffee–Infante equation
• Exact solutions
• Soliton solution
• Traveling wave hypothesis