Regul. Chaotic Dyn., 2021 Volume 26, Issue 4, Pages 456–461
(Mi rcd1125)
This article is cited in
7 papers
Conservation Laws for Solitons in Magneto-optic Waveguides
with Anti-cubic and Generalized Anti-cubic Nonlinearities Anjan Biswas abc ,
Abdul H. Kara d ,
Mehmet Ekici e ,
Elsayed M. E. Zayed f ,
Abdullah K. Alzahrani c ,
Milivoj R. Belic g a Department of Applied Mathematics, National Research Nuclear University MEPhI,
Kashirskoe sh. 31, 115409 Moscow, Russia b Department of Physics, Chemistry and Mathematics,
Alabama A\&M University, AL 35762–4900 Normal, USA c Mathematical Modeling and Applied Computation (MMAC) Research Group,
Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia d School of Mathematics, University of the Witwatersrand,
Private Bag 3, Wits–2050 Johannesburg, South Africa e Department of Mathematics, Faculty of Science and Arts,
Yozgat Bozok University, 66100 Yozgat, Turkey f Mathematics Department, Faculty of Science, Zagazig–44519 Zagazig University, Egypt g Science Program, Texas A\&M University at Qatar, PO Box 23874 Doha, Qatar Abstract:
This paper implements a multiplier approach to exhibit conservation laws in
magneto-optic waveguides that maintain anti-cubic as well as generalized anti-cubic forms of the
nonlinear refractive index. Three conservation laws are retrieved for each form of nonlinearity.
They are power, linear momentum and Hamiltonian. The conserved quantities are computed
from their respective densities.
Keywords:
solitons, conservation law, anti-cubic.
MSC: 78A60 Received: 02.02.2021
Accepted: 23.04.2021
Language: English
DOI:
10.1134/S1560354721040080
© , 2024
References