Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity

2020 ◽  
Vol 49 (4) ◽  
pp. 584-590 ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Anjan Biswas ◽  
Abdul H. Kara ◽  
Luminita Moraru ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Power Law ◽  
Magneto Optic

Conservation laws for solitons in magneto–optic waveguides with dual–power law nonlinearity

2021 ◽  
Vol 416 ◽  
pp. 127667
Author(s):  
Anjan Biswas ◽  
Jose M. Vega–Guzman ◽  
Abdul H. Kara ◽  
Qin Zhou ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Power Law ◽  
Dual Power ◽  
Magneto Optic

Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov’s equation

Optik ◽  
2021 ◽  
pp. 167694
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Abdul H. Kara ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Magneto Optic

Dark optical solitons and conservation laws for parabolic and dual-power law nonlinearities in (2 + 1)-dimensions

Optik ◽  
2014 ◽  
Vol 125 (12) ◽  
pp. 2784-2792 ◽  
Author(s):  
Houria Triki ◽  
S. Lepule ◽  
A. Love ◽  
Abdul Hamid Kara ◽  
Anjan Biswas
Keyword(s):  
Conservation Laws ◽  
Power Law ◽  
Optical Solitons ◽  
Dual Power

Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

Open Physics ◽  
2013 ◽  
Vol 11 (8) ◽  
Author(s):  
Partner Ndlovu ◽  
Rasselo Moitsheki
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Heat Conduction ◽  
Conservation Laws ◽  
Linear Function ◽  
Power Law ◽  
Heat Conduction Problem ◽  
Transient Heat Conduction ◽  
Lie Point Symmetries ◽  
Transient Heat Conduction Problem

AbstractSome new conservation laws for the transient heat conduction problem for heat transfer in a straight fin are constructed. The thermal conductivity is given by a power law in one case and by a linear function of temperature in the other. Conservation laws are derived using the direct method when thermal conductivity is given by the power law and the multiplier method when thermal conductivity is given as a linear function of temperature. The heat transfer coefficient is assumed to be given by the power law function of temperature. Furthermore, we determine the Lie point symmetries associated with the conserved vectors for the model with power law thermal conductivity.

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