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.
Here, the spatial dynamics associated with the Wadati ODE system ( 35) reduces to −8µρ − 4A ≈ 4w(x)m(x), m ′(x) = −w(x)ρ′(x), (71) at leading order
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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.