OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION

Anjan Biswas; Abdul H. Kara; Noble Agyeman–bobie; Milisha Hart–simmons; Seithuti P. Moshokoa; Luminita Moraru; Farag Mahel Mohammed; Yakup Yildirim

doi:10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION

Anjan Biswas
, Abdul H. Kara
, Noble Agyeman–bobie
, Milisha Hart–simmons
, Seithuti P. Moshokoa
, Luminita Moraru
, Farag Mahel Mohammed
, Yakup Yildirim

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

This paper addresses the perturbed resonant nonlinear Schrödinger’s equation with power-law of self-phase modulation. The traveling wave hypothesis recovers the bright 1–soliton solutions to the model. The conservation laws are identified by the method of multipliers. The semi-inverse variational principle leads to the bright 1–soliton solution when the arbitrary intensity parameter of the perturbation terms differ from that of the unperturbed terms.

Original language	English
Pages (from-to)	2097-2103
Number of pages	7
Journal	Ukrainian Journal of Physical Optics
Volume	26
Issue number	2
DOIs	https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2025.02097
Publication status	Published - 2025
Externally published	Yes

Keywords

multipliers approach
resonant nonlinear Schrödinger’s equation
semi–inverse variation

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10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

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Biswas, A., Kara, A. H., Agyeman–bobie, N., Hart–simmons, M., Moshokoa, S. P., Moraru, L., Mohammed, F. M., & Yildirim, Y. (2025). OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION. Ukrainian Journal of Physical Optics, 26(2), 2097-2103. https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

@article{d3e34a97bade4297b9430d0bef9e5522,

title = "OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER{\textquoteright}S EQUATION",

abstract = "This paper addresses the perturbed resonant nonlinear Schr{\"o}dinger{\textquoteright}s equation with power-law of self-phase modulation. The traveling wave hypothesis recovers the bright 1{\textendash}soliton solutions to the model. The conservation laws are identified by the method of multipliers. The semi-inverse variational principle leads to the bright 1{\textendash}soliton solution when the arbitrary intensity parameter of the perturbation terms differ from that of the unperturbed terms.",

keywords = "multipliers approach, resonant nonlinear Schr{\"o}dinger{\textquoteright}s equation, semi{\textendash}inverse variation",

author = "Anjan Biswas and Kara, \{Abdul H.\} and Noble Agyeman{\textendash}bobie and Milisha Hart{\textendash}simmons and Moshokoa, \{Seithuti P.\} and Luminita Moraru and Mohammed, \{Farag Mahel\} and Yakup Yildirim",

year = "2025",

doi = "10.3116/16091833/Ukr.J.Phys.Opt.2025.02097",

language = "English",

volume = "26",

pages = "2097--2103",

journal = "Ukrainian Journal of Physical Optics",

issn = "1609-1833",

publisher = "Institute of Physical Optics",

number = "2",

}

Biswas, A, Kara, AH, Agyeman–bobie, N, Hart–simmons, M, Moshokoa, SP, Moraru, L, Mohammed, FM & Yildirim, Y 2025, 'OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION', Ukrainian Journal of Physical Optics, vol. 26, no. 2, pp. 2097-2103. https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

TY - JOUR

T1 - OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Agyeman–bobie, Noble

AU - Hart–simmons, Milisha

AU - Moshokoa, Seithuti P.

AU - Moraru, Luminita

AU - Mohammed, Farag Mahel

AU - Yildirim, Yakup

PY - 2025

Y1 - 2025

N2 - This paper addresses the perturbed resonant nonlinear Schrödinger’s equation with power-law of self-phase modulation. The traveling wave hypothesis recovers the bright 1–soliton solutions to the model. The conservation laws are identified by the method of multipliers. The semi-inverse variational principle leads to the bright 1–soliton solution when the arbitrary intensity parameter of the perturbation terms differ from that of the unperturbed terms.

AB - This paper addresses the perturbed resonant nonlinear Schrödinger’s equation with power-law of self-phase modulation. The traveling wave hypothesis recovers the bright 1–soliton solutions to the model. The conservation laws are identified by the method of multipliers. The semi-inverse variational principle leads to the bright 1–soliton solution when the arbitrary intensity parameter of the perturbation terms differ from that of the unperturbed terms.

KW - multipliers approach

KW - resonant nonlinear Schrödinger’s equation

KW - semi–inverse variation

UR - https://www.scopus.com/pages/publications/105007930707

U2 - 10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

DO - 10.3116/16091833/Ukr.J.Phys.Opt.2025.02097

M3 - Article

AN - SCOPUS:105007930707

SN - 1609-1833

VL - 26

SP - 2097

EP - 2103

JO - Ukrainian Journal of Physical Optics

JF - Ukrainian Journal of Physical Optics

IS - 2

ER -

OPTICAL SOLITONS WITH ARBITRARY INTENSITY AND CONSERVATION LAWS OF THE PERTURBED RESONANT NONLINEAR SCHRODINGER’S EQUATION

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Keywords

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