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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2021, том 26, выпуск 4, страницы 456–461 (Mi rcd1125)

Эта публикация цитируется в 7 статьях

Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities

Anjan Biswasabc, Abdul H. Karad, Mehmet Ekicie, Elsayed M. E. Zayedf, Abdullah K. Alzahranic, Milivoj R. Belicg

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

Аннотация: 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.

Ключевые слова: solitons, conservation law, anti-cubic.

MSC: 78A60

Поступила в редакцию: 02.02.2021
Принята в печать: 23.04.2021

Язык публикации: английский

DOI: 10.1134/S1560354721040080



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