Solitons in an Extended Nonlinear Schrödinger Equation with Pseudo Stimulated Scattering and Inhomogeneous Cubic Nonlinearity

• Published in: Radiophysics and quantum electronics Vol. 58; no. 3; pp. 209 - 215
• Main Authors: Aseeva, N. V., Gromov, E. M., Tyutin, V. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-08-2015; Springer; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Astroparticles; Balancing; Hadrons; Heavy Ions; Lasers; Mathematical and Computational Physics; Nonlinear dynamics; Nonlinearity; Nuclear Physics; Observations and Techniques; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Quantum electronics; Quantum Optics; Scattering; Schroedinger equation; Solitons; Theoretical; Wave propagation; Wavelengths; Wave Packet; Soliton; Soliton Solution; Envelope Function; Raman Stimulate Scattering
• ISSN: 0033-8443; 1573-9120
• DOI: 10.1007/s11141-015-9594-1

We consider the soliton dynamics within the framework of an extended nonlinear Schrödinger equation with pseudo stimulated scattering, which occurs from the damped low-frequency waves, and the spatially inhomogeneous cubic nonlinearity. It is shown that the pseudo stimulated scattering, which leads to a shift of the spectrum of the soliton wave numbers to the long-wavelength region, and the nonlinearity, which increases with the coordinate and shifts the soliton spectrum to the short-wavelength region, can be in balance. The soliton solution, which results from this balance, is explicitly obtained.