Optical soliton solutions of multi-dimensional Boiti–Leon–Manna–Pempinelli equations

Abstract

In this paper, we consider [Formula: see text] and [Formula: see text]-dimensional Boiti–Leon–Manna–Pempinelli equations. We obtain the soliton solutions by using the new extended direct algebraic method. The resulting solutions carry a variety of new families including the singular solution of type 1 and 2, dark, dark-bright, and dark-singular soliton solution. These solutions contain trigonometric, hyperbolic, and exponential type functions. Moreover, to highlight the important features of the obtained solutions, some three-dimensional and two-dimensional diagrams of these solutions are plotted with the suitable choice of the values of the involving parameters.