@article{Albalawi2024, 
author = {Wedad Albalawi and Nauman Raza and Saima Arshed and Muhammad Farman and Kottakkaran Sooppy Nisar and Abdel-Haleem Abdel-Aty},
title = {Chaotic behavior and construction of a variety of wave structures related to a new form of generalized q-Deformed sinh-Gordon model using couple of integration norms},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9536-9555},
keywords = {generalized q-deformed sinh Gordon equation, Sardar sub-equation method, sine-Gordon expansion method, solitons},
url = {https://www.sciopen.com/article/10.3934/math.2024466},
doi = {10.3934/math.2024466},
abstract = {The generalized q-deformed sinh Gordon equation (GDSGE) serves as a significant nonlinear partial differential equation with profound applications in physics. This study investigates the GDSGE's mathematical and physical properties, examining its solutions and clarifying the essence of the q-deformation parameter. The Sardar sub-equation method (SSEM) and sine-Gordon expansion method (SGEM) are employed to solve this GDSGE. The synergistic application of these techniques improves our knowledge of the GDSGE and provides a thorough foundation for investigating different evolution models arising in various branches of mathematics and physics. A positive aspect of the proposed methods is that they offer a wide variety of solitons, including bright, singular, dark, combination dark-singular, combined dark-bright, and periodic singular solitons. Obtained solutions demonstrate the method's high degree of reliability, simplicity, and functionalization for various nonlinear equations. To better describe the physical characterization of solutions, a few 2D and 3D visualizations are generated by taking precise values for parameters using mathematical software, Mathematica.}
}