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Bosonization in curved spacetime maps massive Thirring model(self-interacting Dirac fermions) to a generalized sine-Gordon model, bothliving in $1+1$-dimensional curved spacetime. Applying this duality we haveshown that the Thirring model fermion, in non-relativistic limit, getsidentified with the soliton of non-linear Scrodinger model with Kerr form ofnon-linearity. We discuss one particular optical soliton in the latter modeland relate it with the Thirring model fermion.

Duality Between Dirac Fermions in Curved Spacetime and Optical solitons in Non-Linear Schrodinger Model: Magic of $1+1$-Dimensional Bosonization