Novel Localized Excitations Structures with Fusion and Fission Properties to a (2 + 1)-Dimensional Breaking Soliton Equation

Abstract

Using suitable transformations of dependent variables, a separable of variables solution of the (2 + 1)-dimensional breaking soliton model has developed with two arbitrary functions. We determine lump solutions by picking trustworthy arbitrary functions from the separable of variables solution. Also, critical points of the lump solution have evaluated. We determine the non-elastic interaction of two solitons evolves that the offers interface subsequently collision moderates into a breather wave regiment. We regulate the most important phenomena of soliton solutions as ring type exciting solitons, soliton fission, fusion and annihilation phenomena from our achieved variables separable solution selecting appropriate functions. Likewise, profiles of achieved solutions are presented to visualize the properties of the solutions. These properties of the breaking soliton model are associated to physical phenomena: inner waves in a gyrating ocean and thoughtful of the influencing machinery twisted by the interface of Riemann waves.