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Stability of solitons in 𝒫𝒯-symmetric nonlinear potentials

Stability of solitons in 𝒫𝒯-symmetric nonlinear potentials

We report on detailed investigation of the stability of localized modes in the nonlinear Schrödinger equations with a nonlinear parity-time (alias ) symmetric potential. We are particularly focusing on the case where the spatially dependent nonlinearity is purely imaginary. We compute the Evans function of the linear operator determining the …