Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 17, Number 2 (2014), 1-13.
Soliton Dynamics in an Extended Nonlinear Schrodinger Equation with Inhomogeneous Dispersion and Self-phase Modulation
Evolution of solitons is addressed in the framework of an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. In the present context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped lowfrequency wave mode. Also included are spatial inhomogeneity of both the second-order dispersion (SOD) and self-phase modulation (SPM). It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the increasing SPM and SOD coefficients. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well.
Commun. Math. Anal., Volume 17, Number 2 (2014), 1-13.
First available in Project Euclid: 18 December 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q51: Soliton-like equations [See also 37K40]
Aseeva, N. V.; Gromov, E. M.; Malomed, B. A.; Tyutin, V. V. Soliton Dynamics in an Extended Nonlinear Schrodinger Equation with Inhomogeneous Dispersion and Self-phase Modulation. Commun. Math. Anal. 17 (2014), no. 2, 1--13. https://projecteuclid.org/euclid.cma/1418919751