Subpicosecond pulse soliton solutions of the modified nonlinear Schr dinger equation are obtained by applying Hirota's method.It is shown that the accumulation of arrival time jitter due to amplified spontaneous e...Subpicosecond pulse soliton solutions of the modified nonlinear Schr dinger equation are obtained by applying Hirota's method.It is shown that the accumulation of arrival time jitter due to amplified spontaneous emission in a subpicosecond soliton communication system is less than that for a picosecond one.The former has a greater maximum capacity and so it has greater superiority as an information carrier.展开更多
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 dif...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.展开更多
Collisions of spatial solitons occurring in the nonlinear Schringer equation with harmonic potential arestudied,using conservation laws and the split-step Fourier method.We find an analytical solution for the separati...Collisions of spatial solitons occurring in the nonlinear Schringer equation with harmonic potential arestudied,using conservation laws and the split-step Fourier method.We find an analytical solution for the separationdistance between the spatial solitons in an inhomogeneous nonlinear medium when the light beam is self-trapped inthe transverse dimension.In the self-focusing nonlinear media the spatial solitons can be transmitted stably,and theinteraction between spatial solitons is enhanced due to the linear focusing effect (and also diminished for the lineardefocusing effect).In the seff-defocusing nonlinear media,in the absence of seff-trapping or in the presence of linearself-defocusing,no transmission of stable spatial solitons is possible.However,in such media the linear focusing effectcan be exactly compensated,and the spatial solitons can propagate through.展开更多
文摘Subpicosecond pulse soliton solutions of the modified nonlinear Schr dinger equation are obtained by applying Hirota's method.It is shown that the accumulation of arrival time jitter due to amplified spontaneous emission in a subpicosecond soliton communication system is less than that for a picosecond one.The former has a greater maximum capacity and so it has greater superiority as an information carrier.
基金Supported by the Natural Science Foundation of Guangdong Province under Grant No. 1015283001000000,Chinasupported by the NPRP 09-462-1-074 project with the Qatar National Research Foundation
文摘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.
基金National Basic Research Program of China under Grant No.2006CB921605the Science Research Foundation of Shunde College of China
文摘Collisions of spatial solitons occurring in the nonlinear Schringer equation with harmonic potential arestudied,using conservation laws and the split-step Fourier method.We find an analytical solution for the separationdistance between the spatial solitons in an inhomogeneous nonlinear medium when the light beam is self-trapped inthe transverse dimension.In the self-focusing nonlinear media the spatial solitons can be transmitted stably,and theinteraction between spatial solitons is enhanced due to the linear focusing effect (and also diminished for the lineardefocusing effect).In the seff-defocusing nonlinear media,in the absence of seff-trapping or in the presence of linearself-defocusing,no transmission of stable spatial solitons is possible.However,in such media the linear focusing effectcan be exactly compensated,and the spatial solitons can propagate through.