Soliton Self-wave Number Downshift Compensation by the Increasing Second-Order Dispersion

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 32)


Dynamics of solitons in the frame of the extended nonlinear Schrödinger equation (NSE) taking into account stimulated Raman scattering (SRS) and inhomogeneous second-order dispersion (SOD) is considered. Compensation of soliton Raman self-wave number downshift in media with increasing second-order linear dispersion is shown. Quasi-soliton solution with small wave number spectrum variation, amplitude and extension are found analytically in adiabatic approximation and numerically. The soliton is considered as the equilibrium of SRS and increasing SOD. For dominate SRS soliton wave number spectrum tends to long wave region. For dominate increasing SOD soliton wave number spectrum tends to shortwave region.


Dynamics of solitons and quasi-solutions Extended nonlinear Schrödinger equation Stimulated Raman scattering Inhomogeneous second-order dispersion 



This study was carried out within “The National Research University Higher School of Economics’ Academic Fund Program in 2012–2013, research grant No.11-01-0066”. This work was supported by the Russian Foundation for Basic Research (project 12-02-00436-a).


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Faculty of Business Informatics and Applied MathematicsNational Research University - Higher School of EconomicsNizhny NovgorodRussia

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