摘要
We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrdinger equation with radially variable nonlinearity coefficient and an external potential.By using Hirota's binary differential operators,we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms.For some specific external potentials and nonlinearity coefficients,we discuss features of the corresponding(2+1)-dimensional multisolitonic solutions,including ring solitons,lump solitons,and soliton clusters.
We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrodinger equation with radially variable nonlinearity coefficient and an external potential. By using Hirota＇s binary differential operators, we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms. For some specific external potentials and nonlinearity coefficients, we discuss features of the corresponding （2＋1）-dimensional multisolitonic solutions, including ring solitons, lump solitons, and soliton clusters.
作者
钟卫平
Milivoj R.Belic
HUANG Ting-Wen
ZHONG Wei-Ping;Milivoj R.Belic;HUANG Ting-Wen(Department of Electronic and Information Engineering,Shunde Polytechnic,Guangdong Province,Shunde 528300,China;Texas A&M Univsersity at Qatar,P.O.Box 23874 Doha,Qatar;Institute of Physics,University of Belgrade,P.O.Box 68,11001 Belgrade,Serbia)
基金
Supported by the Natural Science Foundation of Guangdong Province under Grant No. 1015283001000000,China
supported by the NPRP 09-462-1-074 project with the Qatar National Research Foundation
