The relation of Zakharov-Shabat scattering problem to Schrödinger equation with complex potential and approximations for soliton parameters

Authors

  • N. Korneev Instituto Nacional de Astrofísica Óptica y Electrónica
  • J. A. Catana Instituto Nacional de Astrofísica Óptica y Electrónica
  • V. A. Vyslooukh Universidad de las Américas Puebla

DOI:

https://doi.org/10.31349/RevMexFis.65.634

Keywords:

Zakharov-Shabat scattering problem, solitons, nonlinear Schrödinger equation

Abstract

The relation of Zakharov-Shabat scattering problem to Schr\"{o}dinger equation with complex potential is used to analytically approximate parameters of high power solitons produced in positive Kerr media with chirped parabolic pulses. The soliton parameters are estimated for different types of chirp and intensity distortions. The comparison with numerics is discussed.

Author Biographies

N. Korneev, Instituto Nacional de Astrofísica Óptica y Electrónica

Doctor Investigador

J. A. Catana, Instituto Nacional de Astrofísica Óptica y Electrónica

Estudiante Doctorado, Coordinación de Óptica

V. A. Vyslooukh, Universidad de las Américas Puebla

Doctor Investigador

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Published

2019-10-31

How to Cite

[1]
N. Korneev, J. A. Catana, and V. A. Vyslooukh, “The relation of Zakharov-Shabat scattering problem to Schrödinger equation with complex potential and approximations for soliton parameters”, Rev. Mex. Fís., vol. 65, no. 6 Nov-Dec, pp. 634–638, Oct. 2019.

Issue

Vol. 65 No. 6 Nov-Dec (2019): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.