Research Article

New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity

Volume: 12 Number: 3 September 28, 2023
EN

New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity

Abstract

In this work, the Resonant nonlinear Schrödinger equation (RNLSE) with anti-cubic nonlinearity is considered. The Jacobi elliptic function method (JEFM) has been employed on the RNLSE. The many new forms of dark, dark-bright, singular, combo-singular, bright-singular solitons and periodic solutions for governing model are reached. Furthermore, the graphics of solutions are presented.

Keywords

References

  1. [1] Y. S. Kivshar and G. P. Agrawal, Optical solitons: From fibers to photonic crystals. Elsevier Science & Technology, 2003
  2. [2] A. Biswas and S. Konar, Introduction to non-Kerr law optical solitons. London, England: CRC Press, 2020.
  3. [3] E. Ulutas, “Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives,” Chaos Solitons Fractals, vol. 148, no. 111052, p. 111052, 2021.
  4. [4] N. Cheemaa and M. Younis, “New and more general traveling wave solutions for nonlinear Schrödinger equation,” Waves Random Complex Media, vol. 26, no. 1, pp. 30–41, 2016.
  5. [5] A. M. Shahoot, K. A. E. Alurrfi, I. M. Hassan, and A. M. Almsri, “Solitons and other exact solutions for two nonlinear PDEs in mathematical physics using the generalized projective Riccati equations method,” Adv. Math. Phys., vol. 2018, pp. 1–11, 2018.
  6. [6] M. Mirzazadeh, R. T. Alqahtani, and A. Biswas, “Optical soliton perturbation with quadratic-cubic nonlinearity by Riccati-Bernoulli sub-ODE method and Kudryashov’s scheme,” Optik (Stuttg.), vol. 145, pp. 74–78, 2017.
  7. [7] K. Ayub, M. Y. Khan, and Q. Mahmood-Ul-Hassan, “Solitary and periodic wave solutions of Calogero–Bogoyavlenskii–Schiff equation via exp-function methods,” Comput. Math. Appl., vol. 74, no. 12, pp. 3231–3241, 2017.
  8. [8] W. B. Rabie and H. M. Ahmed, “Cubic-quartic solitons perturbation with couplers in optical metamaterials having triple-power law nonlinearity using extended F-expansion method,” Optik (Stuttg.), vol. 262, no. 169255, p. 169255, 2022.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Early Pub Date

September 23, 2023

Publication Date

September 28, 2023

Submission Date

April 28, 2023

Acceptance Date

August 2, 2023

Published in Issue

Year 2023 Volume: 12 Number: 3

APA
Cavlak Aslan, E., & Gürgöze, L. (2023). New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 12(3), 725-731. https://doi.org/10.17798/bitlisfen.1289067
AMA
1.Cavlak Aslan E, Gürgöze L. New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023;12(3):725-731. doi:10.17798/bitlisfen.1289067
Chicago
Cavlak Aslan, Ebru, and Leyla Gürgöze. 2023. “New Solutions for the Resonant Nonlinear Schrödinger Equation With Anti-Cubic Nonlinearity”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12 (3): 725-31. https://doi.org/10.17798/bitlisfen.1289067.
EndNote
Cavlak Aslan E, Gürgöze L (September 1, 2023) New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12 3 725–731.
IEEE
[1]E. Cavlak Aslan and L. Gürgöze, “New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 3, pp. 725–731, Sept. 2023, doi: 10.17798/bitlisfen.1289067.
ISNAD
Cavlak Aslan, Ebru - Gürgöze, Leyla. “New Solutions for the Resonant Nonlinear Schrödinger Equation With Anti-Cubic Nonlinearity”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12/3 (September 1, 2023): 725-731. https://doi.org/10.17798/bitlisfen.1289067.
JAMA
1.Cavlak Aslan E, Gürgöze L. New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023;12:725–731.
MLA
Cavlak Aslan, Ebru, and Leyla Gürgöze. “New Solutions for the Resonant Nonlinear Schrödinger Equation With Anti-Cubic Nonlinearity”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 3, Sept. 2023, pp. 725-31, doi:10.17798/bitlisfen.1289067.
Vancouver
1.Ebru Cavlak Aslan, Leyla Gürgöze. New Solutions for the Resonant Nonlinear Schrödinger Equation with Anti-Cubic Nonlinearity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023 Sep. 1;12(3):725-31. doi:10.17798/bitlisfen.1289067

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