Abstract

This paper obtains new exact bright and singular optical soliton solutions in nonlinear negative-index materials with conformable time fractional derivatives in the presence of a Bohm potential. The inclusion of a Bohm potential produces quantum phase behavior in electromagnetic waves. The integration algorithm used is the $$\exp (-\varphi ({\chi })$$ ) method. Singular periodic, combined hyperbolic and explicit solutions fall out during the derivation. The constraint conditions for the existence of these solutions also emerge as a byproduct of this scheme.

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