Abstract
•Perturbed bright 1–soliton solution with polynomial and triple–power law nonlinearities is studied analytically.•Third and fourth order dispersions are considered.•Soliton with necessary parameter restrictions are reported.
This paper secures perturbed bright 1–soliton solution with polynomial and triple–power law nonlinearities. These are dispersive solitons that come with third and fourth order dispersions. The application of semi–inverse variational principle leads to the analytic closed–form expression for such a soliton with necessary parameter restrictions for them to exist and sustain.