Optical solitons for the cubic-quintic nonlinear Schrödinger equation

K. S. Al-Ghafri; E. V. Krishnan; Anjan Biswas

doi:10.1063/1.5081522

Optical solitons for the cubic-quintic nonlinear Schrödinger equation

K. S. Al-Ghafri^*, E. V. Krishnan, Anjan Biswas

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

This paper investigates the soliton solutions to nonlinear Schrödinger (NLS) equation with anti-cubic nonlinearity in non-kerr media. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using soliton ansatz. By implementing two techniques, namely, improved projective Riccati equations method and new mapping method, the ODE is solved analytically. Consequently, various types of solitons such as bright, dark, singular, dark-singular optical soliton solutions are obtained.

Original language	English
Title of host publication	ICNPAA 2018 World Congress
Subtitle of host publication	12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
Editors	Seenith Sivasundaram
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735417724
DOIs	https://doi.org/10.1063/1.5081522
Publication status	Published - Dec 4 2018
Event	12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2018 - Yerevan, Armenia Duration: Jul 3 2018 → Jul 6 2018

Publication series

Name	AIP Conference Proceedings
Volume	2046
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2018
Country/Territory	Armenia
City	Yerevan
Period	7/3/18 → 7/6/18

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.5081522

Cite this

Al-Ghafri, K. S., Krishnan, E. V., & Biswas, A. (2018). Optical solitons for the cubic-quintic nonlinear Schrödinger equation. In S. Sivasundaram (Ed.), ICNPAA 2018 World Congress: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences Article 020002 (AIP Conference Proceedings; Vol. 2046). American Institute of Physics Inc.. https://doi.org/10.1063/1.5081522

Optical solitons for the cubic-quintic nonlinear Schrödinger equation. / Al-Ghafri, K. S.; Krishnan, E. V.; Biswas, Anjan.
ICNPAA 2018 World Congress: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. ed. / Seenith Sivasundaram. American Institute of Physics Inc., 2018. 020002 (AIP Conference Proceedings; Vol. 2046).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Al-Ghafri, KS, Krishnan, EV & Biswas, A 2018, Optical solitons for the cubic-quintic nonlinear Schrödinger equation. in S Sivasundaram (ed.), ICNPAA 2018 World Congress: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences., 020002, AIP Conference Proceedings, vol. 2046, American Institute of Physics Inc., 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2018, Yerevan, Armenia, 7/3/18. https://doi.org/10.1063/1.5081522

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abstract = "This paper investigates the soliton solutions to nonlinear Schr{\"o}dinger (NLS) equation with anti-cubic nonlinearity in non-kerr media. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using soliton ansatz. By implementing two techniques, namely, improved projective Riccati equations method and new mapping method, the ODE is solved analytically. Consequently, various types of solitons such as bright, dark, singular, dark-singular optical soliton solutions are obtained.",

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N2 - This paper investigates the soliton solutions to nonlinear Schrödinger (NLS) equation with anti-cubic nonlinearity in non-kerr media. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using soliton ansatz. By implementing two techniques, namely, improved projective Riccati equations method and new mapping method, the ODE is solved analytically. Consequently, various types of solitons such as bright, dark, singular, dark-singular optical soliton solutions are obtained.

AB - This paper investigates the soliton solutions to nonlinear Schrödinger (NLS) equation with anti-cubic nonlinearity in non-kerr media. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using soliton ansatz. By implementing two techniques, namely, improved projective Riccati equations method and new mapping method, the ODE is solved analytically. Consequently, various types of solitons such as bright, dark, singular, dark-singular optical soliton solutions are obtained.

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Optical solitons for the cubic-quintic nonlinear Schrödinger equation

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