Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 5


ISSN 1609-1833 (Print)

PURE-QUARTIC STATIONARY OPTICAL BULLETS FOR (3+1)-DIMENSIONAL NONLINEAR SCHRODINGER'S EQUATION WITH FOURTH-ORDER DISPERSIVE EFFECTS AND PARABOLIC LAW OF NONLINEARITY

Abdul-Majid Wazwaz

Department of Mathematics, Saint Xavier University, Chicago, IL 60655 USA, wazwaz@sxu.edu

ABSTRACT

This work addresses a (3+1)-dimensional nonlinear Schrödinger’s equation with three fourth-order dispersive terms that usually give pure-quartic bullets. It is known that pure-quartic bullets, balanced by fourth-order dispersion and nonlinearity, differ from traditional solitons. We derive various solutions in the form of bright and dark optically modulated bullets. The solutions obtained are useful for exploring the transmission of bullets through optical nanofibers.

Keywords: optical solitons, higher-order nonlinear Schrodinger's equation, fourth-order dispersion, optical fibers

UDC: 535.32

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    У цій роботі розглядається (3+1)-вимірне нелінійне рівняння Шредінгера з трьома дисперсійними членами четвертого порядку, яке зазвичай дає чисті квартичні кулі. Відомо, що чисті квартичні кулі, збалансовані дисперсією четвертого порядку і нелінійністю, відрізняються від традиційних солітонів. Ми отримали різні рішення у вигляді яскравих і темних оптично модульованих куль. Отримані рішення є корисними для дослідження поширення куль через оптичні нановолокна. оптичні солітони, нелінійне рівняння Шредінгера вищого порядку, дисперсія четвертого порядку, оптичні волокна

    Ключові слова: оптичні солітони, нелінійне рівняння Шредінгера вищого порядку, дисперсія четвертого порядку, оптичні волокна

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