Non-singular discrete Kuznetsov-Ma breathers on a large background exist exactly when a width inequality on the spectral parameters is satisfied, including a new staggered KM2 family.
Nonlinear differential-difference equations and Fourier analysis
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On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
Non-singular discrete Kuznetsov-Ma breathers on a large background exist exactly when a width inequality on the spectral parameters is satisfied, including a new staggered KM2 family.