OPTICAL SOLITARY WAVE SOLUTIONS OF THE GENERALIZED NONLINEAR FRACTIONAL (2+1)-DIMENSIONAL ZOOMERON EQUATION

In this work, we change the initial coefficients of the nonlinear fractional (2+1)-dimensional Zoomeron (NFDZ) equation, and define a generalized nonlinear fractional (2+1)-dimensional Zoomeron (GNFDZ) equation. Then we are interested in the construction of exact optical soliton solutions of the new obtained equation. The fractional equation is firstly converted into a nonlinear and partial differential equation (NPDE), via the fractional complex transforms. We then apply the Bogning-Djeumen Tchao – Kofané method (BDKm), which is a new method, to construct exact solutions of NPDEs. Several optical soliton solutions are reported in our studies, with some new ones.