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

Downloads

Published

2019-10-31

How to Cite

Korneev, N., J. A. Catana, and V. A. Vyslooukh. 2019. “The Relation of Zakharov-Shabat Scattering Problem to Schrödinger Equation With Complex Potential and Approximations for Soliton Parameters”. Revista Mexicana De Física 65 (6 Nov-Dec):634-38. https://doi.org/10.31349/RevMexFis.65.634.

Issue

Section

07 Gravitation, Mathematical Physics and Field Theory