MULTIWAVE NONLINEAR SUPERPOSITION SOLUTIONS OF AN EXTENDED (3+1)-DIMENSIONAL NONLINEAR CONFORMABLE SCHRÖDINGER EQUATION WITH CUBIC-QUINTIC NONLINEARITY

In this paper, we investigate an extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic-quintic nonlinearity. By introducing a special function transformation, coupled with a nonlinear traveling wave transformation, we have constructed, for the first time to the best of our knowledge, its high-order wave solutions. These solutions include high-order solitons, breathers, lump waves, as well as novel types of multiwave nonlinear superposition solutions. The approach presented in this paper holds significant reference value for constructing exact wave solutions of other fractional nonlinear evolution equations.