In this manuscript, a new form of the generalized q-deformed Sinh-Gordon equation is investigated which could model physical systems with broken symmetries and to incorporate phenomena involving amplification or dissipation. The proposed model is explored based on the Lie symmetry approach. Using similarity reduction, the partial differential equation is transformed into an ordinary differential equation. By employing the generalized auxiliary equation approach, precise results for the derived equation are obtained. The solutions are graphically depicted as 3D, 2D, and contour plots. Furthermore, the qualitative analysis of the considered model is investigated by employing the concepts of bifurcation and chaos. The phase profiles are displayed for different sets of the parameters. Additionally, by applying an external periodic strength, quasi-periodic and chaotic behaviors are documented. Various tools for detecting chaos are discussed, including 3D and 2D phase patterns, time series, and Poincaré maps. Additionally, a sensitivity analysis is conducted for various initial conditions. The obtained findings are unique and indicate the viability and efficacy of the suggested strategies for evaluating soliton solutions and phase illustrations for various nonlinear models.

More from our Archive

• DOI: 10.1063/5.0152064 2023

  Two-dimensional 4<i>f</i> magnetic EuSn2X2 (X = P, As) monolayers: A first-principles study

  Yihang Bai, Yaxuan Wu, Chaobin Jia, Lipeng Hou, Bing Wang

• DOI: 10.3390/sym15071324 2023

  The Analysis of Bifurcation, Quasi-Periodic and Solitons Patterns to the New Form of the Generalized q-Deformed Sinh-Gordon Equation

  Syeda Sarwat Kazmi, Adil Jhangeer, Nauman Raza, Haifa I. Alrebdi, Abdel-Haleem Abdel-Aty, Hichem Eleuch

• DOI: 10.1063/5.0147450 2023

  Giant spin-splitting and tunable spin-momentum locked transport in room temperature collinear antiferromagnetic semimetallic CrO monolayer

  Xin Chen, Duo Wang, Linyang Li, Biplab Sanyal

• DOI: 10.3390/sym15071338 2023

  Nonlinear Dynamics of a Piecewise Modified ABC Fractional-Order Leukemia Model with Symmetric Numerical Simulations

  Hasib Khan, Jehad Alzabut, Wafa F. Alfwzan, Haseena Gulzar

• DOI: 10.1063/5.0147941 2023

  Acoustic metamaterial absorbers: The path to commercialization

  Min Yang, Ping Sheng

• DOI: 10.3390/sym15071433 2023

  Solitary Solutions for the Stochastic Fokas System Found in Monomode Optical Fibers

  Wael W. Mohammed, Farah M. Al-Askar, Clemente Cesarano

• DOI: 10.1063/5.0155310 2023

  Ohmic contacts in MXene/MoSi2N4 heterojunctions

  Xiang Zhang, Jun-Yue Zheng, Yu-Cui Xiang, Di Wu, Jing Fan, Yi-Yang Sun, Li-Juan Chen, Li-Yong Gan, Xiaoyuan Zhou

• DOI: 10.3390/sym15071405 2023

  I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities

  Miguel Vivas-Cortez, Sofia Ramzan, Muhammad Uzair Awan, Muhammad Zakria Javed, Awais Gul Khan, Muhammad Aslam Noor

• DOI: 10.22331/q-2023-07-12-1058 2023

  A scalable and fast artificial neural network syndrome decoder for surface codes

  Spiro Gicev, Lloyd C. L. Hollenberg, Muhammad Usman

• DOI: 10.3390/sym15071402 2023

  Islands in Generalized Dilaton Theories

  Jia Tian