Abstract
The present paper reports cubic–quartic optical solitons with the newly introduced governing model derived from the Biswas–Milovic equation for the first time. The model is considered with dual-power nonlinear form.
The modified Kudryashov’s algorithm and the addendum to Kudryashov’s approach are used.
Singular, bright–singular, bright and dark solitons are extracted by two integration approaches that come from the Kudryashov’s integration algorithm. Such solitons are formulated via parametric restrictions that are also indicated.