Homoclinic and heteroclinic solutions to the NLS equation with Wadati potential asymptote to nonlinear plane waves and are supported by asymptotic analysis and numerical simulations.
Given this symmetry, we expect density kink solutions to exist alongside their antikink counterparts for the same chemical potential µ
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Homoclinic and heteroclinic solutions of the nonlinear Schr\"odinger equation with a complex Wadati potential
Homoclinic and heteroclinic solutions to the NLS equation with Wadati potential asymptote to nonlinear plane waves and are supported by asymptotic analysis and numerical simulations.