Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 4


ISSN 1816-2002 (Online), ISSN 1609-1833 (Print)

OPTICAL SOLITON PERTURBATION WITH DISPERSIVE CONCATENATION MODEL: SEMI-INVERSE VARIATION

Ajanta Roy, Milisha Hart-Simmons, Russell W. Kohl, Anjan Biswas, Yakup Yildirim and Ali Saleh Alshomrani

Author Information
Ajanta Roy,
1Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
Milisha Hart-Simmons,
1Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
Russell W. Kohl SCOPUS logo
2Department of Mathematics, University of Maryland Eastern Shore, Princess Anne, MD–21853, USA
Anjan Biswas SCOPUS logo,
1Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
3Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
4Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
5Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
Yakup Yildirim ORCID logo SCOPUS logo,
6Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
7Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
Ali Saleh Alshomrani SCOPUS logo,
3Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia

ABSTRACT

The current paper recovers a bright 1-soliton solution to the perturbed dispersive concatenation model, with Kerr's law of self-phase modulation, with the aid of the semi-inverse variational principle. The perturbation terms are of Hamiltonian type and appear with arbitrary intensity. The parameter constraints that naturally emerge from the analysis are presented

Keywords: solitons, dispersive concatenation, stationary integral

UDC: 535.32

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    У поточній статті отримане яскраве 1-солітонне рішення в моделі збуреної дисперсійної конкатенації із законом Керра самофазової модуляції за допомогою напівінверсного варіаційного принципу. Члени збурення мають гамільтонівський тип і з'являються з довільною інтенсивністю. Представлено обмеження параметрів, які природно випливають з аналізу. Ключові слова: солітони, дисперсійна конкатенація, стаціонарний інтеграл

    Ключові слова: солітони, дисперсійна конкатенація, стаціонарний інтеграл

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