Litcius/Paper detail

Abundant novel solutions of the conformable Lakshmanan-Porsezian-Daniel model

Hajar F. Ismael, Hacı Mehmet Başkonuş, Hasan Bulut

2020Discrete and Continuous Dynamical Systems - S27 citationsDOIOpen Access PDF

Abstract

<p style='text-indent:20px;'>In this paper, three images of nonlinearity to the fractional Lakshmanan Porsezian Daniel model in birefringent fibers are investigated. The new bright, periodic wave and singular optical soliton solutions are constructed via the <inline-formula><tex-math id="M1">\begin{document}$ \left( m+\frac{G'}{G} \right) $\end{document}</tex-math></inline-formula> expansion method, which are applicable to the dynamics within the optical fibers. All solutions are novel compared with solutions obtained via different methods. All solutions verify the conformable Lakshmanan-Porsezian-Daniel model and also, for the existence the constraint conditions are utilized. Moreover, 2D and 3D for all solutions are plotted to more understand its physical characteristics.

Topics & Concepts

Conformable matrixBirefringenceSolitonConstraint (computer-aided design)Nonlinear systemPhysicsApplied mathematicsComputer scienceMathematical analysisMathematicsOpticsGeometryQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Differential Equations and Dynamical Systems