2 papers
math.AP2025
Orbital stability of kinks in the NLS equation with competing nonlinearities
Justin Holmer, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky
Kinks connecting zero and nonzero equilibria in the NLS equation with competing nonlinearities occur at the special values of the frequency parameter. Since they are minimizers of…
cond-mat.quant-gas2024
On the Ground State Quantum Droplet for Large Chemical Potentials
J. Holmer, K. Z. Zhang, P. G. Kevrekidis
In the present work we revisit the problem of the quantum droplet in atomic Bose-Einstein condensates with an eye towards describing its ground state in the large density, so-calle…