Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers

Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index

“…where 𝛽 1 , 𝛽 2 , 𝛽 3 , 𝛽 4 are real numbers and 𝛽 1 > 𝛽 2 > 𝛽 3 > 𝛽 4 . We obtain double periodic solutions that are (42) and…”

“…We also gain a complete classification of all single traveling wave solutions and show 2D graphs of the wave propagation modes. For other related topics, such as chaotic behaviors and Loop-like waves, please refer to previous works [37][38][39][40][41][42][43][44][45][46][47].…”

Coherent control of parametric generation of laser beams via intersubband transitions in quantum wells

“…The ability to manipulate these transitions through EIT provides a promising avenue for improving the performance and efficiency of optical devices. Moreover, the interaction of solid-state nanostructures with positiondependent beams presents an intriguing avenue for exploration [36][37][38][39][40][41][42][43][44][45][46]. The interplay between these localized optical beams and semiconductor nanostructures leads to diverse modifications in light-matter interactions.…”

“…The interplay between these localized optical beams and semiconductor nanostructures leads to diverse modifications in light-matter interactions. Such phenomena can result in spatially tailored control over optical properties, enabling the development of innovative devices with applications in fields like quantum information processing and nanophotonics [36][37][38][39][40]. These studies not only shed light on the fascinating interplay between solid-state systems and electromagnetic fields but also pave the way for groundbreaking technologies that harness these effects for practical use.…”

Exact solutions and dynamic properties of the complex Ginzburg-Landau equation with law of four powers of nonlinearity

“…Furthermore, we analyse the equation qualitatively to better understand the asymptotic behaviour, bifurcation points and other properties of the equation. We find that equation (1) can be rewritten as a twodimensional dynamical system [46,47], which can be analyzed using the complete discrimination system for polynomial method to study equilibrium points and other dynamical behaviors. In addition, we also provide the diagrams of the solutions and the variation of the phase diagrams in relation to the parameters.…”