Ukrainian Journal of Physical Optics


2023 Volume 24, Issue 3


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

Bright and dark optical solitons for the concatenation model by the Laplace-Adomian decomposition scheme

1O. Gonzalez-Gaxiola, 2,3,4,5Anjan Biswas, 6J. Ruiz de Chavez and 3Asim Asiri

1Applied Mathematics and Systems Department, Universidad Autonoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico
2Department of Mathematics and Physics, Grambling State University, Grambling, LA-71245, USA
3Mathematical Modeling and Applied Computation (MMAC) Research Group, 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
6Department of Mathematics, Universidad Autonoma Metropolitana-Iztapalapa, Av San Rafael Atlixco No.186 Col. Vicentina, 09340 Mexico City, Mexico

ABSTRACT

This paper retrieves numerically the bright and dark 1-soliton solutions for the newly constructed concatenation model using the Laplace-Adomian decomposition technique. The errors analysis is also conducted, and they are of the order of 10-9. The surface, sectional, and error plots are exhibited for bright and dark solitons

Keywords: solitons; concatenation model; Adomian polynomials

UDC: 535.32

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    В цій статті чисельно отримані яскраві та темні 1-солітонні розв’язки для новоствореної моделі конкатенації з використанням техніки декомпозиції Лапласа-Адоміана. Також проведений аналіз похибок, які становлять порядку 10-9. Для яскравих і темних солітонів представлені їхні графіки поверхонь, розрізів і похибок

    Ключові слова: солітони; модель конкатенації; многочлени Адоміана

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