Optical solitons for the cubic-quintic nonlinear Schrödinger equation

K. S. Al-Ghafri, Edamana Krishnan, Anjan Biswas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (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 languageEnglish
Title of host publicationICNPAA 2018 World Congress
Subtitle of host publication12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
EditorsSeenith Sivasundaram
PublisherAmerican Institute of Physics Inc.
Volume2046
ISBN (Electronic)9780735417724
DOIs
Publication statusPublished - Dec 4 2018
Event12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2018 - Yerevan, Armenia
Duration: Jul 3 2018Jul 6 2018

Other

Other12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2018
CountryArmenia
CityYerevan
Period7/3/187/6/18

Fingerprint

nonlinear equations
solitary waves
differential equations
Riccati equation
nonlinearity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Al-Ghafri, K. S., Krishnan, E., & 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 (Vol. 2046). [020002] 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, Edamana; Biswas, Anjan.

ICNPAA 2018 World Congress: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. ed. / Seenith Sivasundaram. Vol. 2046 American Institute of Physics Inc., 2018. 020002.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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