Optical solitons for the concatenation model with power-law nonlinearity: undetermined coefficients

In the current paper, a full spectrum of 1–soliton solutions to the concatenation model with the power–law of self–phase modulation has been recovered. The method of undetermined coefficients has permitted us to solve this problem successfully. The parameter constraints naturally emerge from the derivation and are also listed, guaranteeing these solitons' existence. It has been proved that dark solitons and singular solitons of a specific type would exist only when the power–law parameter collapses to unity.