Traveling Waves for Nonlocal Derivative Nonlinear Schr\"odinger Equations: A Variational Characterization
Analysis of PDEs
2026-04-10 v2
Abstract
We establish several existence results for traveling-wave solutions of the nonlocal derivative nonlinear Schr\"odinger equation with general coefficients by variational methods. We study associated minimization problems in the subcritical and critical cases and prove the existence of a minimizer in each case. Finally, we derive Pohozaev-type identities and use them to establish corresponding nonexistence results.
Keywords
Cite
@article{arxiv.2603.22482,
title = {Traveling Waves for Nonlocal Derivative Nonlinear Schr\"odinger Equations: A Variational Characterization},
author = {Amin Esfahani and Adilbek Kairzhan and Mukhtar Karazym},
journal= {arXiv preprint arXiv:2603.22482},
year = {2026}
}