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.
Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono 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.