Soliton in an extended nonlinear Schrodinger equation with stimulated scattering on damping low-frequency waves and nonlinear dispersion

被引:0
作者
Gromov, E. M. [1 ]
机构
[1] Natl Res Univ, Higher Sch Econ, Nizhnii Novgorod 603155, Russia
来源
3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2014) | 2015年 / 574卷
关键词
SPEED COMMUNICATION-SYSTEMS; ULTRASHORT SOLITONS; TIMING JITTER; DYNAMICS; TRANSMISSION; PULSES;
D O I
10.1088/1742-6596/574/1/012032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Dynamics of solitons is considered in an extended nonlinear Schrodinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, nonlinear dispersion and inhomogeneity of the spatial second-order dispersion (SOD). It is shown that wave-number downshift by the pseudo-SRS may be compensated by upshift provided by spatially increasing SOD with taking into account nonlinear dispersion. The equilibrium state is stable for negative parameter of nonlinear dispersion and unstable for positive one. The analytical solutions are verified by comparison with numerical results
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页数:5
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