Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion
- Authors: Aseeva N.V.1, Gromov E.M.1, Onosova I.V.1, Tyutin V.V.1
- 
							Affiliations: 
							- National Research University Higher School of Economics
 
- Issue: Vol 103, No 10 (2016)
- Pages: 653-657
- Section: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/159379
- DOI: https://doi.org/10.1134/S0021364016100027
- ID: 159379
Cite item
Abstract
Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo- SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal-domain NLSE in optics. In this context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped low-frequency wave mode. In addition, spatial inhomogeneity of the second-order dispersion (SOD) is assumed. As a result, it is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, can be compensated with the upshift provided by decreasing SOD coefficients. Analytical results and numerical results are in a good agreement.
About the authors
N. V. Aseeva
National Research University Higher School of Economics
														Email: vtyutin@hse.ru
				                					                																			                												                	Russian Federation, 							Nizhny Novgorod, 603155						
E. M. Gromov
National Research University Higher School of Economics
														Email: vtyutin@hse.ru
				                					                																			                												                	Russian Federation, 							Nizhny Novgorod, 603155						
I. V. Onosova
National Research University Higher School of Economics
														Email: vtyutin@hse.ru
				                					                																			                												                	Russian Federation, 							Nizhny Novgorod, 603155						
V. V. Tyutin
National Research University Higher School of Economics
							Author for correspondence.
							Email: vtyutin@hse.ru
				                					                																			                												                	Russian Federation, 							Nizhny Novgorod, 603155						
Supplementary files
 
				
			 
					 
						 
						 
						 
						 
				 
  
  
  
  
  Email this article
			Email this article  Open Access
		                                Open Access Access granted
						Access granted Subscription Access
		                                		                                        Subscription Access
		                                					