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Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities
Regular and Chaotic Dynamics ( IF 0.8 ) Pub Date : 2021-08-09 , DOI: 10.1134/s1560354721040080
Anjan Biswas 1, 2, 3, 4 , Abdullah K. Alzahrani 2 , Abdul H. Kara 5 , Mehmet Ekici 6 , Elsayed M. E. 7 , Milivoj R. Belic 8
Affiliation  

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.



中文翻译:

具有反三次和广义反三次非线性的磁光波导中孤子守恒定律

本文采用乘法器方法来展示磁光波导中的守恒定律,该波导保持非线性折射率的反三次和广义反三次形式。为每种形式的非线性检索三个守恒定律。它们是幂、线性动量和哈密顿量。守恒量是根据它们各自的密度计算的。

更新日期:2021-08-10
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