Abstract
•Cubic–quartic optical solitons of Kudryashov's equation are secured.•Hamiltonian perturbations that appear with maximum intensity are included.•Bright, dark, singular and combo singular soliton solutions are revealed.•F–expansion scheme is implemented.•The conserved quantities are recovered by implementing multiplier approach.
This paper secures cubic–quartic optical solitons of Kudryashov's equation with Hamiltonian perturbations that appear with maximum intensity. Bright, dark, singular and combo singular soliton solutions are recovered with F–expansion scheme. The conserved quantities are obtained by implementing multiplier approach.