Negative frequencies in scattering of pump waves at solitons

• Applicant: Dr. Shalva Amiranashvili
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas ; Mathematics ; Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2017 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 389251150

• Final Report Year: 2020

Final Report Abstract

No abstract available

Publications

• Sasa-Satsuma hierarchy of integrable evolution equations. Chaos, 28(5):053108, May 2018
  U. Bandelow, A. Ankiewicz, Sh. Amiranashvili, and N. Akhmediev
  (See online at https://doi.org/10.1063/1.5030604)
• Analysis of temporal dissipative solitons in a delayed model of a ring semiconductor laser. In A. Korobeinikov et al., editors, Extended abstracts Spring 2018 Singularly perturbed systems, multiscale phenomena and hysteresis: Theory and applications, volume 11 of Trends in mathematics. Research perspectives CRM Barselona, pages 7–12. Springer, 2019
  A. Pimenov, A. G. Vladimirov, and Sh. Amiranashvili
  (See online at https://doi.org/10.1007/978-3-030-25261-8_2)
• Extended criterion for the modulation instability. New J. Phys., 21(3):033029, March 2019
  Sh. Amiranashvili and E. Tobisch
  (See online at https://doi.org/10.1088/1367-2630/ab0130)
• Generalized integrable evolution equations with an infinite number of free parameters. In Sunao Murashige, editor, Workshop on Nonlinear Water Waves, number 2109 in RIMS Kôkyûroku Bessatsu, pages 33–46. RIMS, April 2019
  N. Akhmediev, A. Ankiewicz, Sh. Amiranashvili, and U. Bandelow
  
• Numerical methods for accurate description of ultrashort pulses in optical fibers. Commun Nonlinear Sci Numer Simul, 67:391–402, February 2019
  Sh. Amiranashvili, M. Radziunas, U. Bandelow, and R. Ciegis
  (See online at https://doi.org/10.1016/j.cnsns.2018.07.031)
• Stabilization of optical pulse transmission by exploiting fiber nonlinearities. J. Lightwave Technol., 2020
  U. Bandelow, Sh. Amiranashvili, and S. Pickartz
  (See online at https://doi.org/10.1109/JLT.2020.3003447)
• Temporal cavity solitons in a delayed model of a dispersive cavity ring laser. Mathematical Modelling of Natural Phenomena
  A. Pimenov, Sh. Amiranashvili, and A. G. Vladimirov
  (See online at https://doi.org/10.1051/mmnp/2019054)