Solving the (3+1)-dimensional non-linear soliton equation using the Extended Hyperbolic Function Method

Abstract

Most nonlinear partial differential equations have many applications in the physical world. Moreover, the solutions to nonlinear partial differential equations are not easily solvable, and hence different modified techniques were applied. To get solutions to such nonlinear partial differential equations. Among them, we have considered solving the (3 + 1)-dimensional non-linear soliton equation using the extended hyperbolic function method. The extended hy perbolic function method was successfully implemented in solving the stated equations. We have obtained the (3 + 1)-dimensional nonlinear-soliton solutions, and the obtained solutions were illustrated graphically using mathematical software. Furthermore, we considered different parameters to investigate the nature of the solutions. Finally, the proposed method is a standard, effective, and easily computable method for solving the (3 + 1)-dimensional nonlinear soliton equation.