Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation

Lu Tang; Anjan Biswas; Yakup Yıldırım; Maggie Aphane; Abdulah A. Alghamdi

doi:10.3176/proc.2024.1.03

Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation

Lu Tang
, Anjan Biswas^*
, Yakup Yıldırım
, Maggie Aphane
, Abdulah A. Alghamdi

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

6 Citations (Scopus)

Abstract

This paper addresses Radhakrishnan–Kundu–Lakshmanan equation that arises in the study of soliton dynamics in optical fibers. The bifurcation analysis is carried out and the phase portraits are displayed. The complete discriminant analysis also leads to solitons and other solutions to the model.

Original language	English
Pages (from-to)	17-28
Number of pages	12
Journal	Proceedings of the Estonian Academy of Sciences
Volume	73
Issue number	1
DOIs	https://doi.org/10.3176/proc.2024.1.03
Publication status	Published - 2024

Keywords

bifurcation analysis
complete discriminant system
nonlinear Radhakrishnan–Kundu–Lakshmanan equation
optical solitons

Access to Document

10.3176/proc.2024.1.03

Cite this

@article{79a81430614040719ccf67bd7d54e72a,

title = "Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation",

abstract = "This paper addresses Radhakrishnan–Kundu–Lakshmanan equation that arises in the study of soliton dynamics in optical fibers. The bifurcation analysis is carried out and the phase portraits are displayed. The complete discriminant analysis also leads to solitons and other solutions to the model.",

keywords = "bifurcation analysis, complete discriminant system, nonlinear Radhakrishnan–Kundu–Lakshmanan equation, optical solitons",

author = "Lu Tang and Anjan Biswas and Yakup Yıldırım and Maggie Aphane and Alghamdi, \{Abdulah A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Authors.",

year = "2024",

doi = "10.3176/proc.2024.1.03",

language = "English",

volume = "73",

pages = "17--28",

journal = "Proceedings of the Estonian Academy of Sciences",

issn = "1736-6046",

publisher = "Estonian Academy Publishers",

number = "1",

}

TY - JOUR

T1 - Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation

AU - Tang, Lu

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Aphane, Maggie

AU - Alghamdi, Abdulah A.

PY - 2024

Y1 - 2024

N2 - This paper addresses Radhakrishnan–Kundu–Lakshmanan equation that arises in the study of soliton dynamics in optical fibers. The bifurcation analysis is carried out and the phase portraits are displayed. The complete discriminant analysis also leads to solitons and other solutions to the model.

AB - This paper addresses Radhakrishnan–Kundu–Lakshmanan equation that arises in the study of soliton dynamics in optical fibers. The bifurcation analysis is carried out and the phase portraits are displayed. The complete discriminant analysis also leads to solitons and other solutions to the model.

KW - bifurcation analysis

KW - complete discriminant system

KW - nonlinear Radhakrishnan–Kundu–Lakshmanan equation

KW - optical solitons

UR - https://www.scopus.com/pages/publications/85180557034

U2 - 10.3176/proc.2024.1.03

DO - 10.3176/proc.2024.1.03

M3 - Article

AN - SCOPUS:85180557034

SN - 1736-6046

VL - 73

SP - 17

EP - 28

JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 1

ER -

Bifurcation analysis and optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this