Management of rogue waves in variable shape optical lattice potential

Züleyha Öztaş

doi:10.59313/jsr-a.1687860

Management of rogue waves in variable shape optical lattice potential

Abstract

We study the rational rogue wave solutions of the Gross-Pitaevskii equation with a variable shape optical lattice potential. The analytical solution is constructed via similarity transformation, which converts the Gross-Pitaevskii equation, including space and time varying coefficients, to the nonlinear Schrödinger equation. We explore how the rogue wave patterns change depending on the lattice parameters. It is shown that tuning the optical lattice parameters significantly influences the solution structures: small values of the modulational parameter and potential depth produce single-peak Peregrine solitons, while large values of these parameters lead to multi-peak, spatially periodic Akhmediev-like breather patterns. Therefore, we demonstrate that Akhmediev-like breathers can be obtained by adjusting the tunable parameters of the potential. The modulational instability is discussed, and the parameter region for modulational instability is determined. The results suggest potential applications in the control of nonlinear excitations in Bose–Einstein condensates, as well as in analogous optical systems where extreme waves play a crucial role.

Keywords

References

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Details

Primary Language

English

Subjects

General Physics

Journal Section

Research Article

Authors

Züleyha Öztaş ^*
0000-0002-7643-429X
Türkiye

Publication Date

December 30, 2025

Submission Date

April 30, 2025

Acceptance Date

October 28, 2025

Published in Issue

Year 2025 Number: 063

DOI

https://doi.org/10.59313/jsr-a.1687860

IZ

https://izlik.org/JA74LZ53BY

Cite

RIS / Bibtex

APA

Öztaş, Z. (2025). Management of rogue waves in variable shape optical lattice potential. Journal of Scientific Reports-A, 063, 24-37. https://doi.org/10.59313/jsr-a.1687860

AMA

1.Öztaş Z. Management of rogue waves in variable shape optical lattice potential. JSR-A. 2025;(063):24-37. doi:10.59313/jsr-a.1687860

Chicago

Öztaş, Züleyha. 2025. “Management of Rogue Waves in Variable Shape Optical Lattice Potential”. Journal of Scientific Reports-A, nos. 063: 24-37. https://doi.org/10.59313/jsr-a.1687860.

EndNote

Öztaş Z (December 1, 2025) Management of rogue waves in variable shape optical lattice potential. Journal of Scientific Reports-A 063 24–37.

IEEE

[1]Z. Öztaş, “Management of rogue waves in variable shape optical lattice potential”, JSR-A, no. 063, pp. 24–37, Dec. 2025, doi: 10.59313/jsr-a.1687860.

ISNAD

Öztaş, Züleyha. “Management of Rogue Waves in Variable Shape Optical Lattice Potential”. Journal of Scientific Reports-A. 063 (December 1, 2025): 24-37. https://doi.org/10.59313/jsr-a.1687860.

JAMA

1.Öztaş Z. Management of rogue waves in variable shape optical lattice potential. JSR-A. 2025;:24–37.

MLA

Öztaş, Züleyha. “Management of Rogue Waves in Variable Shape Optical Lattice Potential”. Journal of Scientific Reports-A, no. 063, Dec. 2025, pp. 24-37, doi:10.59313/jsr-a.1687860.

Vancouver

1.Züleyha Öztaş. Management of rogue waves in variable shape optical lattice potential. JSR-A. 2025 Dec. 1;(063):24-37. doi:10.59313/jsr-a.1687860