15 citations · 40 across the 17 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
physics.comp-ph2017★ 5 cited
A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction
Xinran Ruan
In this paper, we generalize the normalized gradient flow method to compute the ground states of Bose-Einstein condensates (BEC) with higher order interactions (HOI), which is mode…
math.AP2017
Ground states and energy asymptotics of the nonlinear Schrödinger equation
Xinran Ruan
We study analytically the existence and uniqueness of the ground state of the nonlinear Schrödinger equation (NLSE) with a general power nonlinearity described by the power index $…
math-ph2017★ 15 cited
Ground states of Bose-Einstein condensates with higher order interaction
Weizhu Bao, Yongyong Cai, Xinran Ruan
We analyze the ground state of a Bose-Einstein condensate in the presence of higher-order interaction (HOI), modeled by a modified Gross-Pitaevskii equation (MGPE). In fact, due to…