Rin Takada

Long-wavelength amplification of a nonlinear Schrödinger equation conserved-charge violation in a one-dimensional Gross–Pitaevskii–Poisson field

Can weak self-gravity be treated as a small, generic perturbation of the integrable one-dimensional cubic nonlinear Schrödinger equation (NLS)? We test this question by following the first nontrivial local NLS charge, Q3. In the Gross–Pitaevskii–Poisson model it obeys the exact identity Q˙3=κF3, where F3 is the instant...