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

Anjan Biswas; Abdul H. Kara; Mehmet Ekici; Elsayed M. E; Abdullah K. Alzahrani; Milivoj R. Belic

doi:10.1134/S1560354721040080

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

Anjan Biswas^*, Abdul H. Kara^*, Mehmet Ekici^*, Elsayed M. E^*, Abdullah K. Alzahrani^*, Milivoj R. Belic^*

^*Corresponding author for this work

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

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	456-461
Number of pages	6
Journal	Regular and Chaotic Dynamics
Volume	26
Issue number	4
DOIs	https://doi.org/10.1134/S1560354721040080
Publication status	Published - Jul 2021
Externally published	Yes

Keywords

anti-cubic
conservation law
solitons

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10.1134/S1560354721040080

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title = "Conservation Laws for Solitons in Magneto-optic Waveguides with Anti-cubic and Generalized Anti-cubic Nonlinearities",

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 = "anti-cubic, conservation law, solitons",

author = "Anjan Biswas and Kara, {Abdul H.} and Mehmet Ekici and E, {Elsayed M.} and Alzahrani, {Abdullah K.} and Belic, {Milivoj R.}",

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AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Ekici, Mehmet

AU - E, Elsayed M.

AU - Alzahrani, Abdullah K.

AU - Belic, Milivoj R.

PY - 2021/7

Y1 - 2021/7

N2 - 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.

AB - 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.

KW - anti-cubic

KW - conservation law

KW - solitons

UR - http://www.scopus.com/inward/record.url?scp=85112194135&partnerID=8YFLogxK

U2 - 10.1134/S1560354721040080

DO - 10.1134/S1560354721040080

M3 - Article

AN - SCOPUS:85112194135

SN - 1560-3547

VL - 26

SP - 456

EP - 461

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 4

ER -

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

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Keywords

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