School of Mathematics&Computer Science;
Shangrao Normal University;
Shangrao 334001;
China;
College of Mathematics and Statistics;
Fujian Normal University;
Fuzhou 350117;
China;
Department of Mathematics and Statistics;
Utah State University;
Logan;
UT 84322;
USA;
School of Mathematics and Statistics;
Central South University;
Changsha 410083;
China;
saturable nonlinear Schrodinger equation; normalized solutions; semiclassical states; local maximum potential;