Existence of minimizers for traveling waves in the nonlocal DNLS is established variationally in subcritical and critical regimes, with nonexistence shown via Pohozaev-type identities.
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Traveling Waves for Nonlocal Derivative Nonlinear Schr\"odinger Equations: A Variational Characterization
Existence of minimizers for traveling waves in the nonlocal DNLS is established variationally in subcritical and critical regimes, with nonexistence shown via Pohozaev-type identities.