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arXiv · 2608.03915

Approximate traveling waves for the focusing NLS with an external potential

Luke Baker·Xuemei Li·Jason Murphy
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Abstract

We construct approximate traveling wave solutions for the $3d$ focusing cubic NLS perturbed by a rapidly decaying external potential. As an application, we demonstrate that there exists a forward-global, $H^1$ bounded, nonscattering solution at any mass-energy higher than the ground state threshold for the unperturbed equation.

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Luke Baker, Xuemei Li, Jason Murphy. 2026-08-04. Approximate traveling waves for the focusing NLS with an external potential. https://arxiv.org/abs/2608.03915

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