The paper claims that boosted ground states for dispersion generalized NLS with integer nonlinearity exponent are cylindrically symmetric and conjugate-symmetric, but the key Fourier-support identity used to prove this is not established.
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On symmetry of traveling solitary waves for dispersion generalized NLS
The paper claims that boosted ground states for dispersion generalized NLS with integer nonlinearity exponent are cylindrically symmetric and conjugate-symmetric, but the key Fourier-support identity used to prove this is not established.