Abstract
A single bright highly dispersive optical soliton solution is recovered from semi-inverse variational principle. The model contains six power law nonlinear terms that constitute self-phase modulation effect which was proposed by Kudryashov. The amplitude–width relation of the soliton was finally recovered by Cardano’s approach with appropriate and necessary constraints that are presented.
•A single bright highly dispersive optical soliton solution is revealed.•Semi-inverse variational principle is implemented.•The model contains six power law nonlinear terms that constitute self-phase modulation effect.•The amplitude–width relation of the soliton was finally recovered by Cardano’s approach.