THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

AN EXCELLENT SCHEME FOR THE COUPLE-HIGGS EQUATION

ABSTRACT
The couple-Higgs equation is an important non-linear evolution equation in the field of physics. In this paper, the couple-Higgs equation is investigated by employing the tanh function method, and the new solitary wave solution is successfully constructed. Finally, the physical properties of this solitary wave solution are elaborated by plotting the 3-D graphs with proper parameters.
KEYWORDS
PAPER SUBMITTED: 2024-03-02
PAPER REVISED: 2024-03-14
PAPER ACCEPTED: 2024-05-10
PUBLISHED ONLINE: 2024-09-28
DOI REFERENCE: https://doi.org/10.2298/TSCI2404523W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3523 - 3527]
REFERENCES
  1. Chavanis, P. H., Non-linear Mean-Field Fokker-Planck Equations and Their Applications in Physics, Astrophysics and Biology, Comptes Rendus Physique, 7 (2006), 2, pp. 318-330
  2. Yang, X. J., Alsolami, A. A., On a Subtrigonometric Series Solution for the Scaling-Law Wave Motion for the Special Vibrating String, International Journal of Geometric Methods in Modern Physics, On-line first, doi.org/10.1142/S0219887824400358, 2024
  3. Kumar, S., et al., Specific Wave Profiles and Closed-Form Soliton Solutions for Generalized Non-Linear Wave Equation in (3+1)-Dimensions with Gas Bubbles in Hydrodynamics and Fluids, Journal of Ocean Engineering and Science, 8 (2023), 2, pp. 91-102
  4. Wang, K. L., Wei, C. F., Novel Optical Soliton Solutions to Nonlinear Paraxial Wave Model, Modern Physics Letters B, 2024 (2024), ID2450469
  5. Yang, X. J., The Scaling-Law Flows: An Attempt at Scaling-Law Vector Calculus, Fractals, 33 (2024), 4, ID2340126
  6. Rehman, H. U., et al.,Analysis of Brownian Motion in Stochastic Schrodinger Wave Equation Using Sardar Sub-Equation Method, Optik, 289 (2023), 2, ID171305
  7. Chou, D., et al., Analyzing Optical Solition Propagation in Perturbed Non-Linear Schrodinger Equation: a Multi-Technique Study, Optik, 302 (2024), 2, ID 171714
  8. Samir, I., et al., Construction of Wave Solutions for Stochastic Radhakrishnan-Kundu-Lakshmanan Equation Using Modified Extended Direct Algebraic Technique, Results in Physics, 55 (2023), 3, ID107191
  9. Wazwaz, A. M., The Tanh Method and the Sine-Cosine Method for Solving the KP-MEW Equation, International Journal of Computer Mathematics, 82 (2005), 2, pp. 235-246
  10. Hussain, A., et al., The Jacobi Elliptic Function Method and Its Application for the Stochastic NNV System, Alexandria Engineering Journal, 81 (2023), 3, pp. 347-359
  11. Ali, M., et al., A Variety of New Periodic Solutions to the Damped (2+1)-Dimensional Schrodinger Equation via the Novel Modified Rational Sine-Cosine Functions and the Extended Tanh-Coth Expansion Methods, Results in Physics, 37 (2022),3, 105462
  12. Ahmad, J., et al., Solitary Wave Structures for the Stochastic Nizhnik-Novikov-Veselov System Via Modified Generalized Rational Exponential Function Method, Results in Physics, 52 (2023), 3, ID106776
  13. Wang, K. L., New Optical Solitons for Nonlinear Fractional Schrödinger Equation via Different Analytical Approaches, Fractals, 32 (2024), 5, ID 2450077
  14. Liu, J.-G., et al., On the Generalized Time Fractional Diffusion Equation: Symmetry Analysis, Conservation Laws, Optimal System and Exact Solutions, International Journal of Geometric Methods in Modern Physics, 17 (2020), 1, ID2050013
  15. Wang, K. L., Novel Solitary Wave and Periodic Solutions for the Non-Linear Kaup-Newell Equation in Optical Fibers, Optical and Quantum Electronics, 56 (2024), 2, ID514
  16. Wang, K. L., Novel Soliton Solutions of Fractional Long and Short-Wave Interaction System, Fractals, 32 (2024), 1, ID2450023
  17. Wei, C. F., A New Fractal Modelling for the Nerve Impulses Based on Local Fractional Derivative, Fractals, 32 (2024), 4, ID2440027
  18. Wang, K. L., Novel Perspective to the Fractional Schrodinger Equation Arising in Optical Fibers, Fractals, 32 (2024), 2, ID2450034
  19. Liu, J.-G., et al., Symmetry Analysis of the Generalized Space and Time Fractional Korteweg-de Vries Equation, International Journal of Geometric Methods in Modern Physics, 18 (2021), 14, ID2150235
  20. Wang, K. L., New Mathematical Approaches to Non-Linear Coupled Davey-Stewartson Fokas System Arising in Optical Fibers, Mathematical Methods in the Applied Sciences, On-line first, doi.org/10.1002/mma.10175, 2024
  21. Wang, K. L., Novel Analytical Approach to Modified Fractal Gas Dynamics Model with the Variable Coefficients, ZAMM-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 103 (2023), 6, ID 202100391
  22. Wang, T., Soliton Dynamics to the Higgs Equation and Its Multi-Component Generalization, Wave Motion, 120 (2023), 2, ID103144
  23. Hafez, M. G., et al., Traveling Wave Solutions for Some Important Coupled Non-Linear Physical Models via the Coupled Higgs Equation and the Maccari System, Journal of King Saud University-Science, 12 (2015) 27, pp. 105-112
  24. Seadawy, A. R., et al., Bifurcations of Traveling Wave Solutions for Dodd-Bullough-Mikhailov Equation and Couple Higgs Equation and Their Applications, Chinese Journal of Physics, 55 (2017), 4, pp. 1310-1318
  25. Jabbari, A., et al., Exact Solutions of the Couple Higgs Equation and the Maccari System Using He's Semi-Inverse Method and (G′/G)-Expansion Method, Computers and Mathematics with Applications, 62 (2011), 3, pp. 2177-2186
  26. Ali, K. K., et al., Closed Form Wave Profiles of the Coupled-Higgs Equation Via the φ6-Model Expansion Method, International Journal of Modern Physics, 37 (2023), 4, ID2350070

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence