SOLITON DYNAMICS OF (3+1)-DIMENSIONAL QUANTUM SYSTEMS WITH POWER-LAW NONLINEAR INTERACTIONS
YONGXING ZHANG
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
XIANBAO YU
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
XINYU ZHOU
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
JIYUAN GUO *
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
YING WANG *
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
WEI WANG
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
*Author to whom correspondence should be addressed.
Abstract
We investigated the bright soliton dynamics for three-dimensional system with power-law nonlinearity. Based on nonlinear Schrodinger equation and the analytical result from one-dimensional scenario of the power-law system, we derived the bright soliton solution for the system under study via the self-similar method. Our theoretical work can be used to guide experimental study of power-law nonlinear system.
Keywords: Power-law nonlinearity, soliton, self-similar method