Optical solitons for quadratic law nonlinearity with five integration schemes

E. V. Krishnan, Muna Al Ghabshi, Mohammad Mirzazadeh, Ali H. Bhrawy, Anjan Biswas, Milivoj Belic

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper obtains soliton solutions to nonlinear Schrödinger's equation with quadratic nonlinearity. There are five integration schemes that are applied to retrieve these soliton solutions. These are Q-function method, G' /G-expansion scheme, Riccati equation approach and finally the mapping method along with the modified mapping method. The constraint conditions, that naturally fall out of the solution structure, guarantee the existence of these solitons. As a byproduct, snoidal waves, cnoidal waves as well as singular periodic solutions emerge, which are however not important in the field of nonlinear optics.

Original languageEnglish
Pages (from-to)4809-4821
Number of pages13
JournalJournal of Computational and Theoretical Nanoscience
Volume12
Issue number11
DOIs
Publication statusPublished - Nov 1 2015

Fingerprint

Optical Solitons
Soliton Solution
Solitons
solitary waves
nonlinearity
Nonlinearity
(G′/G)-expansion Method
Nonlinear Optics
Q-function
Riccati Equation
cnoidal waves
Riccati equation
Periodic Solution
Nonlinear optics
Nonlinear Equations
Riccati equations
nonlinear optics
Nonlinear equations
nonlinear equations
Byproducts

Keywords

  • Integrability
  • Quadratic law
  • Solitons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Materials Science(all)
  • Computational Mathematics
  • Chemistry(all)

Cite this

Optical solitons for quadratic law nonlinearity with five integration schemes. / Krishnan, E. V.; Ghabshi, Muna Al; Mirzazadeh, Mohammad; Bhrawy, Ali H.; Biswas, Anjan; Belic, Milivoj.

In: Journal of Computational and Theoretical Nanoscience, Vol. 12, No. 11, 01.11.2015, p. 4809-4821.

Research output: Contribution to journalArticle

Krishnan, E. V. ; Ghabshi, Muna Al ; Mirzazadeh, Mohammad ; Bhrawy, Ali H. ; Biswas, Anjan ; Belic, Milivoj. / Optical solitons for quadratic law nonlinearity with five integration schemes. In: Journal of Computational and Theoretical Nanoscience. 2015 ; Vol. 12, No. 11. pp. 4809-4821.
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