Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

Anjan Biswas; Abdullah Sonmezoglu; Mehmet Ekici; Abdul Hamid Kara; Abdullah Kamis Alzahrani; Milivoj R. Belic

doi:10.1134/S0965542521310018

Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

Anjan Biswas^*
, Abdullah Sonmezoglu
, Mehmet Ekici
, Abdul Hamid Kara
, Abdullah Kamis Alzahrani
, Milivoj R. Belic

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

Abstract: This work studies cubic–quartic optical solitons with Kudryashov’s law of refractive index. The extended trial function approach reveals solutions to the model in terms of Jacobi’s elliptic functions that yields bright and singular optical solitons with limiting values to the modulus of ellipticity. The conservation laws are also presented.

Original language	English
Pages (from-to)	1995-2003
Number of pages	9
Journal	Computational Mathematics and Mathematical Physics
Volume	61
Issue number	12
DOIs	https://doi.org/10.1134/S0965542521310018
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

Kudryashov
conservation
solitons

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10.1134/S0965542521310018

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title = "Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov{\textquoteright}s Law of Refractive Index by Extended Trial Function",

abstract = "Abstract: This work studies cubic–quartic optical solitons with Kudryashov{\textquoteright}s law of refractive index. The extended trial function approach reveals solutions to the model in terms of Jacobi{\textquoteright}s elliptic functions that yields bright and singular optical solitons with limiting values to the modulus of ellipticity. The conservation laws are also presented.",

keywords = "Kudryashov, conservation, solitons",

author = "Anjan Biswas and Abdullah Sonmezoglu and Mehmet Ekici and Kara, \{Abdul Hamid\} and Alzahrani, \{Abdullah Kamis\} and Belic, \{Milivoj R.\}",

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year = "2021",

month = dec,

doi = "10.1134/S0965542521310018",

language = "English",

volume = "61",

pages = "1995--2003",

journal = "Computational Mathematics and Mathematical Physics",

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TY - JOUR

T1 - Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

AU - Biswas, Anjan

AU - Sonmezoglu, Abdullah

AU - Ekici, Mehmet

AU - Kara, Abdul Hamid

AU - Alzahrani, Abdullah Kamis

AU - Belic, Milivoj R.

PY - 2021/12

Y1 - 2021/12

N2 - Abstract: This work studies cubic–quartic optical solitons with Kudryashov’s law of refractive index. The extended trial function approach reveals solutions to the model in terms of Jacobi’s elliptic functions that yields bright and singular optical solitons with limiting values to the modulus of ellipticity. The conservation laws are also presented.

AB - Abstract: This work studies cubic–quartic optical solitons with Kudryashov’s law of refractive index. The extended trial function approach reveals solutions to the model in terms of Jacobi’s elliptic functions that yields bright and singular optical solitons with limiting values to the modulus of ellipticity. The conservation laws are also presented.

KW - Kudryashov

KW - conservation

KW - solitons

UR - https://www.scopus.com/pages/publications/85107033313

U2 - 10.1134/S0965542521310018

DO - 10.1134/S0965542521310018

M3 - Article

AN - SCOPUS:85107033313

SN - 0965-5425

VL - 61

SP - 1995

EP - 2003

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 12

ER -

Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

Abstract

Keywords

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