Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry

Sachin Kumar; Sandeep Malik; Anjan Biswas; Yakup Yıldırım; Ali Saleh Alshomrani; Milivoj R. Belic

doi:10.1016/j.ijleo.2019.163638

Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry

Sachin Kumar
, Sandeep Malik
, Anjan Biswas
, Yakup Yıldırım^*
, Ali Saleh Alshomrani
, Milivoj R. Belic

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

Lie symmetry analysis handled the nonlinear Schrödinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular combo optical soliton solution to the model. The restrictions on the parameters for the existence of such solitons are also presented. OCIS Codes: 060.2310; 060.4510; 060.5530; 190.3270; 190.4370

Original language	English
Article number	163638
Journal	Optik
Volume	206
DOIs	https://doi.org/10.1016/j.ijleo.2019.163638
Publication status	Published - Mar 2020
Externally published	Yes

Keywords

Generalized anti-cubic nonlinearity
Lie group
Solitons

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10.1016/j.ijleo.2019.163638

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title = "Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry",

abstract = "Lie symmetry analysis handled the nonlinear Schr{\"o}dinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular combo optical soliton solution to the model. The restrictions on the parameters for the existence of such solitons are also presented. OCIS Codes: 060.2310; 060.4510; 060.5530; 190.3270; 190.4370",

keywords = "Generalized anti-cubic nonlinearity, Lie group, Solitons",

author = "Sachin Kumar and Sandeep Malik and Anjan Biswas and Yakup Yıldırım and Alshomrani, \{Ali Saleh\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier GmbH",

year = "2020",

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doi = "10.1016/j.ijleo.2019.163638",

language = "English",

volume = "206",

journal = "Optik",

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T1 - Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry

AU - Kumar, Sachin

AU - Malik, Sandeep

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Alshomrani, Ali Saleh

AU - Belic, Milivoj R.

PY - 2020/3

Y1 - 2020/3

N2 - Lie symmetry analysis handled the nonlinear Schrödinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular combo optical soliton solution to the model. The restrictions on the parameters for the existence of such solitons are also presented. OCIS Codes: 060.2310; 060.4510; 060.5530; 190.3270; 190.4370

AB - Lie symmetry analysis handled the nonlinear Schrödinger's equation that is studied with generalized anti-cubic nonlinear form. These yielded bright, dark and singular optical soliton solutions as well as a bright-singular combo optical soliton solution to the model. The restrictions on the parameters for the existence of such solitons are also presented. OCIS Codes: 060.2310; 060.4510; 060.5530; 190.3270; 190.4370

KW - Generalized anti-cubic nonlinearity

KW - Lie group

KW - Solitons

UR - https://www.scopus.com/pages/publications/85078882909

U2 - 10.1016/j.ijleo.2019.163638

DO - 10.1016/j.ijleo.2019.163638

M3 - Article

AN - SCOPUS:85078882909

SN - 0030-4026

VL - 206

JO - Optik

JF - Optik

M1 - 163638

ER -

Optical solitons with generalized anti-cubic nonlinearity by Lie symmetry

Abstract

Keywords

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