Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of $$1+1$$-dimensional bosonization

Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in $$1+1$$1+1-dimensional curved spacetime. Applying this duality we have shown that the Thirring model fermion, in non-relativistic limit, gets identified with the soliton of non-linear Scrodinger model with Kerr form of non-linearity. We discuss one particular optical soliton in the latter model and relate it with the Thirring model fermion.

Q-homotopy analysis transform method applied to fractional Kundu–Eckhaus equation and fractional massive Thirring model arising in quantum field theory

In this paper, [Formula: see text]-homotopy analysis transform method ([Formula: see text]-HATM) is used to solve fractional Kundu–Eckhaus equation and fractional massive Thirring model. This method is a mixture of Homotopy analysis method (HAM) and Laplace transform method (LTM) when [Formula: see text]. The approximate solutions obtained by [Formula: see text]-HATM are compared with the exact solutions. Numerical results are known through different graphs and tables. The results light the power, efficiency, simplicity, and reliability of the proposed method.