New Multiple- Different Impressive Perceptions for the Solitary Solution to the Magneto-Optic Waveguides with Anti-Cubic Nonlinearity

Optik ◽  
2021 ◽  
pp. 166939
Author(s):  
Ahmet Bekir ◽  
Emad H.M. Zahran
Keyword(s):  
Cubic Nonlinearity ◽  
Solitary Solution ◽  
Magneto Optic

Solitons in magneto-optic waveguides with generalized anti-cubic nonlinearity

Optik ◽  
2020 ◽  
Vol 223 ◽  
pp. 165456 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Mahmoud M. El-Horbaty ◽  
Anjan Biswas ◽  
Mir Asma ◽  
...  
Keyword(s):  
Cubic Nonlinearity ◽  
Magneto Optic

Solitons in magneto–optic waveguides with quadratic–cubic nonlinearity

2020 ◽  
Vol 384 (25) ◽  
pp. 126456 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Mahmoud M. El–Horbaty ◽  
Anjan Biswas ◽  
Mir Asma ◽  
...  
Keyword(s):  
Cubic Nonlinearity ◽  
Magneto Optic

scholarly journals Solitions in magneto–optic waveguides with anti–cubic nonlinearity

Optik ◽  
2020 ◽  
Vol 222 ◽  
pp. 165313 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Reham M.A. Shohib ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Cubic Nonlinearity ◽  
Magneto Optic

Magneto‐Optic Transparent Ceramics

2021 ◽  
pp. 143-185
Author(s):  
Akio Ikesue ◽  
Yan Lin Aung
Keyword(s):  
Transparent Ceramics ◽  
Magneto Optic

scholarly journals Orbital Stability of Solitary Waves to Double Dispersion Equations with Combined Power-Type Nonlinearity

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1398
Author(s):  
Natalia Kolkovska ◽  
Milena Dimova ◽  
Nikolai Kutev
Keyword(s):  
Solitary Waves ◽  
Orbital Stability ◽  
Second Derivative ◽  
Cubic Nonlinearity ◽  
Abstract Theory ◽  
Power Type ◽  
Analytical Formulas ◽  
Stability Of Solitary Waves ◽  
The Stability ◽  
Double Dispersion

We consider the orbital stability of solitary waves to the double dispersion equation utt−uxx+h1uxxxx−h2uttxx+f(u)xx=0,h1>0,h2>0 with combined power-type nonlinearity f(u)=a|u|pu+b|u|2pu,p>0,a∈R,b∈R,b≠0. The stability of solitary waves with velocity c, c2<1 is proved by means of the Grillakis, Shatah, and Strauss abstract theory and the convexity of the function d(c), related to some conservation laws. We derive explicit analytical formulas for the function d(c) and its second derivative for quadratic-cubic nonlinearity f(u)=au2+bu3 and parameters b>0, c2∈0,min1,h1h2. As a consequence, the orbital stability of solitary waves is analyzed depending on the parameters of the problem. Well-known results are generalized in the case of a single cubic nonlinearity f(u)=bu3.

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