Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients

Abstract

Optical soliton solutions to the newly proposed Kudryashov's equation are obtained. The method of undetermined coefficients secured bright, dark and singular soliton solutions to the model. The conservation laws are also listed that are written in terms of Gauss’ hypergeometric functions. Several parameter restrictions, that naturally emerged during the derivation process, are also enumerated.