Chaotic Analysis and Wave Photon Dynamics of Fractional Whitham–Broer–Kaup Model with β Derivative DOI Creative Commons
Muhammad Idrees Afridi, Theodoros E. Karakasidis, Abdullah Alhushaybari

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 287 - 287

Published: April 27, 2025

This study uses a conformable derivative of order β to investigate fractional Whitham–Broer–Kaup (FWBK) model. model has significant in several scientific domains, such as plasma physics and nonlinear optics. The enhanced modified Sardar sub-equation EMSSE approach is applied achieve precise analytical solutions, demonstrating its effectiveness resolving complex wave photons. Bright, solitary, trigonometric, dark, plane waves are among the various dynamics that may be effectively precisely determined using FWBK Furthermore, explores chaotic behaviour both perturbed unperturbed systems, revealing illumination on their dynamic characteristics. By validity examining propagation reliability suggested method modelling confirmed through thorough investigation.

Language: Английский

Analyzing diverse soliton wave profiles and bifurcation analysis of the (3 + 1)-dimensional mKdV–ZK model via two analytical schemes DOI Creative Commons
S. M. Yiasir Arafat,

M. A. Saklayen,

S. M. Rayhanul Islam

et al.

AIP Advances, Journal Year: 2025, Volume and Issue: 15(1)

Published: Jan. 1, 2025

The (3 + 1)-dimensional modified Korteweg–deVries–Zakharov–Kuznetsov model is widely used in the study of nonlinear wave phenomena. These forms phenomena are more useful science and engineering. This work will analyze to identify processes obtained traveling solutions through version new Kudryashov extended hyperbolic function schemes, as well evaluate solidity solitons at numerous equilibrium points using bifurcation analysis conjunction with Hamiltonian planar system. In addition, bifurcations display shifting framework test for presence different solutions. Moreover, we show balance point photographic form examine signal’s stability by specifying saddle system center. Thus, originality this that mentioned governing produce a variety waves, including dark, kink, bell, cospon bright soliton, depending on spacetime propagation variables, which illustrated two-dimension, three-dimension, contour charts. Furthermore, research examines wave’s nature model’s ion acoustic parameters characterizes outcome these factors structure. As can be seen, exploration stated method extremely valuable instructive describing mathematical structure later studies such one many others.

Language: Английский

Citations

0
Chaotic Analysis and Wave Photon Dynamics of Fractional Whitham–Broer–Kaup Model with β Derivative DOI Creative Commons
Muhammad Idrees Afridi, Theodoros E. Karakasidis, Abdullah Alhushaybari

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 287 - 287

Published: April 27, 2025

This study uses a conformable derivative of order β to investigate fractional Whitham–Broer–Kaup (FWBK) model. model has significant in several scientific domains, such as plasma physics and nonlinear optics. The enhanced modified Sardar sub-equation EMSSE approach is applied achieve precise analytical solutions, demonstrating its effectiveness resolving complex wave photons. Bright, solitary, trigonometric, dark, plane waves are among the various dynamics that may be effectively precisely determined using FWBK Furthermore, explores chaotic behaviour both perturbed unperturbed systems, revealing illumination on their dynamic characteristics. By validity examining propagation reliability suggested method modelling confirmed through thorough investigation.

Language: Английский

Citations

0