Investigation of Electromagnetic Wave Structures for a Coupled Model in Anti-ferromagnetic Spin Ladder Medium

Abstract

The article studies the extraction of electromagnetic wave structures in a spin ladder anti-ferromagnetic medium with a coupled generalized non-linear Schrodinger model. The direct algebraic technique is used to extract the wave solutions. The solutions are obtained in the form of dark, singular, kink, and dark-singular under different constraint conditions. Moreover, the dynamic behavior of the structures have depicted in 3D graphs and their corresponding counterplots. The results are helpful for the understanding of wave propagation study and are also vital for numerical and experimental verifications in the field of electromagnetic wave theory.

Quasi binormal Schrodinger evolution of wave polarizatıon field of light wıth repulsive type

“…As the wave polarization vector travels along the curved path the geometry of the curve reveals an interesting model to determine its evolution equation in the tangent direction via the binormal motion. Interestingly, this evolution equation is found to be associated with the very well-known formula of the Schrodinger equation, [25][26][27][28][29]. We will further investigate such evolution in the normal direction and the binormal direction with the aim of completing our series of research on the evolution of wave polarization vector in tangent, normal and binormal direction.…”

Qualitative analysis and wave propagation of the nonlinear model for low-pass electrical transmission lines

“…Among these are the Bäcklund transform [9,10], the Hirota bilinear transform [11] that was used to analyze N-soliton solutions systematically (see, e.g., [12]), the Jacobi elliptic function expansion [13,14], the transformed rational function method [15], homogeneous balance method [16][17][18], the generalized Kudryashov method [19,20], Riccati-Bernoulli sub-ODE method [21][22][23], Lie symmetries, conservation law and Lax pairs [24][25][26], Bifurcation method [27][28][29] which is extended in some works to investigate quasi-periodic and quasi-periodic-chaotic behaviours due to perturbed terms, see, e.g. [30,31], the inverse scattering transform that was developed recently see, e.g., [32,33] and and many other methods [34]. Moreover, an interesting kind of exact solutions, called lump solutions, has been formulated through different kind of nonlinearities [35,36].…”

Numerical simulations for the predator–prey model as a prototype of an excitable system

“…The bio-mathematical sciences are recently the subject of a vast number of researchers [1][2][3][4]. This subset of expertise represents an enormous range of distinct details on biology phenomena such as DNA, bacteria's cells, their spread, pathogens, nervous system, and their pulse transmission [5][6][7][8]. Specific main problems were developed in mathematical methods focused on collecting biological experimental data or statistics, which permit the mathematical analysis and examination, which are typically separated through modern experimental biology to construct certain natural phenomena [9][10][11].…”