Cite this article as:
Plastun A. S., Konyukhov A. I., Melnikov L. A., Zar’kov S. A. Optical Soliton Inelastic Interacitons in Nonlinear Schrödinger Equation with Variable Coefficients Model. Izvestiya of Saratov University. New series. Series Physics, 2016, vol. 16, iss. 2, pp. 81-86. DOI: https://doi.org/10.18500/1817-3020-2016-16-2-81-86
Optical Soliton Inelastic Interacitons in Nonlinear Schrödinger Equation with Variable Coefficients Model
It is shown that in systems described by nonlinear Schrödinger equation with variable coefficients, interaction of two solitons can carry an inelastic character. Inelastic collision solitons can lead to changes in their group velocities, amplitudes and durations. We consider some particular cases related to the separation of the soliton pair and formation of a bound state of two solitons. In the applied aspect these phenomena can be used to control the soliton interaction in optical fiber communications.
1. Ахмедиев Н. Н., Анкевич А. Солитоны. Нелинейные импульсы и пучки. М. : Физматлит, 2003. 304 с.
2. Binh L. N. Optical multi-bound solitons. USA, Kentucky : CRC Press, 2015. 567 p.
3. Soto-Crespo J. M., Grelu Ph., Akhmediev N., Devine N. Soliton complexes in dissipative systems : Vibrating, shaking, and mixed soliton pairs // Phys. Rev. E. 2007. Vol. 75. P. 016613.
4. Chang W., Akhmediev N., Wabnitz S. Effect of an external periodic potential on pairs of dissipative solitons // Phys. Rev. A. 2009. Vol. 80. P. 013815.
5. Sysoliatin A. A., Dianov E. M., Konyukhov A. I., Melnikov L. A., Stasyuk V. A. Soliton splitting in a dispersionoscillating fiber // Laser Physics. 2007. Vol. 17, № 11. P. 1306‒1310.
6. Выслоух В. А., Чередни И. В. Многосолитонные составляющие решений нелинейного уравнения Шредингера с возмущающим членом // Теоретическая и математическая физика. 1987. Т. 71. С. 13−20.
7. Konyukhov A. I., Dorokhova M. A., Melnikov L. A., Plastun A. S. Inelastic collision and fusion of optical solitons in dispersion oscillating fiber // Laser Physics Lett. 2015. Vol. 12, № 5. P. 1−5.
