For both signs of the nonlocal derivative NLS equation, the paper proves background stability under stated restrictions and derives determinant-form N-breather solutions on traveling periodic wave backgrounds.
Zero dispersive limit of the Calogero–Moser derivative NLS equation
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Traveling periodic waves and breathers in the nonlocal derivative NLS equation
For both signs of the nonlocal derivative NLS equation, the paper proves background stability under stated restrictions and derives determinant-form N-breather solutions on traveling periodic wave backgrounds.