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math.AP2026
Approximate traveling waves for the focusing NLS with an external potential
Luke Baker, Xuemei Li, Jason Murphy
We construct approximate traveling wave solutions for the focusing cubic NLS perturbed by a rapidly decaying external potential. As an application, we demonstrate that there e…
math.AP2025
Scattering for the NLS with inhomogeneous nonlinearities
Luke Baker, Jason Murphy
We prove large-data scattering in for inhomogeneous nonlinear Schrödinger equations in one space dimension for powers . We assume the inhomogeneity is nonnegative and re…
math.AP2024
Small and large data scattering for the dispersion-managed NLS
Jumpei Kawakami, Jason Murphy
We prove several scattering results for dispersion-managed nonlinear Schrödinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-sub…