BRIGHT SOLITONS IN OPTICAL MEDIA WITH HIGH ORDER EFFECTS

Authors

  • Aliqulov Muysin Nortoshevich Karshi Engineering-Economics Institute
  • Suyunov Laziz Abdumannon ogli Karshi state university

Keywords:

Nonlinear medium, dispersion, slowly varying envelope, effective potential, phase portrait, soliton

Abstract

In this article bright soliton solutions of the generalized nonlinear Schrödinger equation are found with the help of an effective potential, which is found too. The equation accounts second and fourth order dispersion and also third and fifth order nonlinearity of the media. For the obtained solutions their existence and stability regions are determined. The stability regions are verified and confirmed by solving the equation numerically.

References

Yu. S. Kivshar, G. P. Agrawal, Optical Solitons (Academic Press, 2003).

Y. Kodama, M. Romagnoli, S. Wabnitz, and M. Midrio, Role of third-order dispersion on

soliton instabilities and interactions in optical fibers, Opt. Lett. 19 (1994) 165.

M. Karlsson and A. Hook, Soliton-like pulses governed by fourth order dispersion in

optical fibers, Opt. Commun. 104 (1994) 303.

K. K. Tam, T. J. Alexander, A. Blanco-Redondo, and C. M. de Sterke, Stationary and

dynamical properties of pure-quartic solitons, Opt. Lett. 44 (2019) 3306.

Z. H. Li, L. Li, H. P. Tian, and G. S. Zhou, New types of solitary wave solutions for

higher order nonlinear Schrodinger equation, Phys. Rev. Lett. 84 (2000) 4096.

A. Blanco-Redondo et al, Nature Commun. Vol. 7 (1), 10427 (2016).

S. L. Palacios, Two simple ansatze for obtaining exact solutions of high dispersive

nonlinear Schrödinger equations, Chaos, Solitons and Fractals, 19, 203 (2004).

S G.-Q. Xu, New types of exact solutions for the fourth-order dispersive cubic-quintic

nonlinear Schrödinger equation, Appl. Math. and Comput. 217, 5967 (2011).

E. N. Tsoy, L. A. Suyunov. Solitons of the generalized nonlinear Schrödinger equation,

Physica D 414, 132659 (2020).

J. Yang, Nonlinear waves in integrable and nonintegrable systems (SIAM, Philadelphia,

.

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Published

2023-12-07

How to Cite

Aliqulov, M., & Suyunov, L. (2023). BRIGHT SOLITONS IN OPTICAL MEDIA WITH HIGH ORDER EFFECTS. Innovatsion Texnologiyalar , 51(03), 52–57. Retrieved from https://ojs.qmii.uz/index.php/it/article/view/525

Issue

Vol. 51 No. 03 (2023): Innovatsion texnologiyalar

Section

Статьи

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Copyright (c) 2023 Innovatsion texnologiyalar

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