YUQORI TARTIBLI EFFEKTLARGA EGA OPTIK MUHITLARDA YORQIN SOLITONLAR
##semicolon##
Nochiziqli muhitumumiy vergul ro'yxat seperatori dispersiyaumumiy vergul ro'yxat seperatori sekin o‘zgaruvchi amplitudaumumiy vergul ro'yxat seperatori effektiv potensialumumiy vergul ro'yxat seperatori fazaviy portretumumiy vergul ro'yxat seperatori soliton##article.abstract##
Ushbu maqolada umumlashgan nochiziqli Schrödinger tenglamasining yorug‘ soliton yechimlari aniqlangan. Buning uchun topilgan effektiv potensialdan foydalanilgan. Tenglamada muhitlarning ikkinchi va to‘rtinchi tartibli dispersiyasi bilan birga uchinchi va beshinchi tartibli nochiziqliligi hisobga olingan. Aniqlangan yechimlar uchun ularning mavjudlik va turg‘unlik sohalari aniqlangan. Turg‘unlik sohalari tenglamani sonli yechish orqali tekshirilgan va tasdiqlangan.
##submission.citations##
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,
.
##submission.downloads##
Taqdimot chop etildi
##submission.howToCite##
##issue.issue##
Bo'lim
##submission.license##
##submission.copyrightStatement##
##submission.license.cc.by-nc4.footer##