Unbreakable $\mathcal{P}\mathcal{T}$ symmetry of exact solitons supported by transversally modulated nonlinearity acting as a psuedopotential

Thokala Soloman Raju, Tejaswi Ashok Hegde, C. N. Kumar

We demonstrate analytically and numerically the existence of exact solitons in the form of double-kink and fractional-transform, supported by a symmetric transversally modulated de…