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Working paper

Solitons in an extended nonlinear Schrödinger equation with third-order dispersion and pseudo-Raman effect

Physics:Nonlinear Physics, Pattern and Solitons "arxiv.org". Working papers by Cornell University. Cornell University, 2016. No. 1602.08572.
Aseeva N., Blyakhman L. G., Gromov E., Tyutin V. V.
Dynamics of solitons is considered in an extended nonlinear Schrödinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) 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 TOD. The equilibrium state is stable for positive parameter of TOD and unstable for negative one. The analytical solutions are verified by comparison with numerical results