Anjan Biswas, Abdullah Sonmezoglu, Mehmet Ekici, Abdul Hamid Kara, Abdullah Kamis Alzahrani, Milivoj R. Belic, “Cubic–quartic optical solitons and conservation laws with Kudryashov's law of refractive index by extended trial function”, Zh. Vychisl. Mat. Mat. Fiz., 2021, Volume 61, Number 12,Pages <nobr>1995

This article is cited in 9 papers

Papers published in the English version of the journal

Cubic–quartic optical solitons and conservation laws with Kudryashov's law of refractive index by extended trial function

Anjan Biswas^abc, Abdullah Sonmezoglu^d, Mehmet Ekici^d, Abdul Hamid Kara^e, Abdullah Kamis Alzahrani^b, Milivoj R. Belic^f

^a Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, 35762–4900, Huntsville, AL, USA
^b Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
^c Department of Applied Mathematics, National Research Nuclear University, 115409, Moscow, Russia
^d Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100, Yozgat, Turkey
^e School of Mathematics, University of the Witwatersrand, Johannesburg, 2050, Wits, South Africa
^f Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

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.

Key words: solitons, Kudryashov, conservation.

Received: 21.06.2020
Revised: 06.04.2021
Accepted: 07.07.2021

Language: English