<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The Fokas-Lenells model has the broad applications in nonlinear physics to study various soliton phenomena. Employing the direct algebraic scheme, the modified rational sine-cosine technique, and the (1/<italic>G′</italic>) expansion scheme, the analytical solutions to this model are derived. Double periodic waves, bright soliton, dark soliton, single and multiple breather waves, and periodic breather waves are extracted from this model using symbolic computation. The dynamic behaviors of the acquired outcomes are vividly illustrated through density, two-dimensional (2D), and three-dimensional (3D) graphical representations. These discoveries are strategically positioned to significantly contribute to the advancement of exploring nonlinear models, standing as a fundamental pillar for forthcoming research endeavors.</p>
</abstract>

The Fokas-Lenells model has the broad applications in nonlinear physics to study various soliton phenomena. Employing the direct algebraic scheme, the modified rational sine-cosine technique, and the (1/G′) expansion scheme, the analytical solutions to this model are derived. Double periodic waves, bright soliton, dark soliton, single and multiple breather waves, and periodic breather waves are extracted from this model using symbolic computation. The dynamic behaviors of the acquired outcomes are vividly illustrated through density, two-dimensional (2D), and three-dimensional (3D) graphical representations. These discoveries are strategically positioned to significantly contribute to the advancement of exploring nonlinear models, standing as a fundamental pillar for forthcoming research endeavors.

Novel dynamics of the Fokas-Lenells model in Birefringent fibers applying different integration algorithms

Pabna University of Science and Technology

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

The Fokas-Lenells model has the broad applications in nonlinear physics to study various soliton phenomena. Employing the direct algebraic scheme, the modified...

Novel dynamics of the Fokas-Lenells model in Birefringent fibers applying different integration algorithms

Article Category: Original Study

Online veröffentlicht: 02. Juni 2024

Seitenbereich: -

Eingereicht: 03. Sept. 2023

Akzeptiert: 08. Dez. 2023

DOI: https://doi.org/10.2478/ijmce-2025-0001

Schlüsselwörter
Optical soliton, Fokas-Lenells model, periodic wave, breather wave

© 2025 Mst. Ishrat Jahan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Novel dynamics of the Fokas-Lenells model in Birefringent fibers applying different integration algorithms

Article Category: Original Study

Online veröffentlicht: 02. Juni 2024

Seitenbereich: -

Eingereicht: 03. Sept. 2023

Akzeptiert: 08. Dez. 2023

DOI: https://doi.org/10.2478/ijmce-2025-0001

SchlüsselwörterOptical soliton, Fokas-Lenells model, periodic wave, breather wave

© 2025 Mst. Ishrat Jahan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Schlüsselwörter
Optical soliton, Fokas-Lenells model, periodic wave, breather wave