Bright and dark soliton solutions for a new fifth-order nonlinear integrable equation with perturbation terms

In this paper, we use the solitary wave ansatz method to carry out the integration of a new fifth-order nonlinear equation having perturbation terms. the perturbation terms that are considered are the first-order dispersion term, the power law nonlinearity term, and the fifth- order dispersion term. both bright and dark soliton solutions are obtained. the physical parameters in the soliton solutions: amplitude, inverse width, and velocity are obtained as functions of the dependent model coefficients. the conditions of the existence of the derived solitons are presented.