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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

  • Ссылка в интернете
  • DOI
  • Дата создание в систему UzSCI 22-05-2024
  • Количество прочтений 26
  • Дата публикации 15-09-2023
  • Язык статьиIngliz
  • Страницы52-57
English

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

№ Имя автора Должность Наименование организации
1 Aliqulov M.N. dotsent Qarshi muhandislik-iqtisodiyot instituti
2 Suyunov L.A. o'qituvchi Qarshi davlat universiteti
№ Название ссылки
1 [1] Yu. S. Kivshar, G. P. Agrawal, Optical Solitons (Academic Press, 2003).
2 [2] 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.
3 [3] M. Karlsson and A. Hook, Soliton-like pulses governed by fourth order dispersion in optical fibers, Opt. Commun. 104 (1994) 303.
4 [4] 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.
5 [5] 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
6 [6] A. Blanco-Redondo et al, Nature Commun. Vol. 7 (1), 10427 (2016).
7 [7] S. L. Palacios, Two simple ansatze for obtaining exact solutions of high dispersive nonlinear Schrödinger equations, Chaos, Solitons and Fractals, 19, 203 (2004).
8 [8] 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).
9 [9] E. N. Tsoy, L. A. Suyunov. Solitons of the generalized nonlinear Schrödinger equation, Physica D 414, 132659 (2020).
10 [10]J. Yang, Nonlinear waves in integrable and nonintegrable systems (SIAM, Philadelphia, 2010).
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