THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

NEW ANALYTICAL METHOD FOR CUBIC KLEIN-GORDON EQUATION

ABSTRACT
In this paper, the (2+1)-D cubic Klein-Gordon model is investigated, which is used to described the propagation of dislocation in crystals. A simple and efficient analytical technology is successfully employed to seek some new periodic and solitary wave solutions, which is called sine-cosine method. The physics properties of these obtained periodic and solitary wave solutions are illustrated by corresponding graphs.
KEYWORDS
PAPER SUBMITTED: 2023-03-25
PAPER REVISED: 2023-05-23
PAPER ACCEPTED: 2023-06-21
PUBLISHED ONLINE: 2024-05-25
DOI REFERENCE: https://doi.org/10.2298/TSCI230325128R
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3361 - 3365]
REFERENCES
  1. Khan, K., Exact Solution of (2+1)-Dimensional Cubic Klein-Gordon Equation and the (3+1)-Dimension­al Zakharov-Kuznetsov Equation Using the Modified Simple Equation Method, Journal of the Associa­tion of Arab Universities for Basic and Applied Sciences, 15 (2014), 2, pp. 74-81
  2. Akbar, M. A., et al., A Generalized and Improved (G'/G)-Expansion Method for Non-Linear Evolution Equation, Mathematical Problems in Engineering, 2012 (2012), 22, 459879
  3. Wang, K. L., New Perspective on Fractional Hamiltonian Amplitude Equation, Optical and Quantum Electronics, 55 (2023), 2, 1033
  4. Liu, J. G., Yang, X. J., Symmetry Group Analysis of Several Coupled Fractional Partial Differential Equa­tions, Chaos Solitons and Fractals, 2023 (2023), 2, 113603
  5. Wei, C. F., A New Fractal Modeling for the Nerve Impulses Based on Local Fractional Derivative, Frac­tals, 32 (2024), 4, 2440027
  6. Wang, K. L., Solitary Wave Dynamics of the Local Fractional Bogoyavlensky-Konopelchenko Model, Fractals, 31 (2023), 5, 2350054
  7. Wang, K. L., Exact Traveling Wave Solution for the Fractal Riemann Wave Model Arising in Ocean Sci­ence, Fractals, 30 (2022), 7, 2250143
  8. Liu, J. G., et al., On Fractional Symmetry Group Scheme to the Higher-Dimensional Space and Time Fractional Dissipative Burgers Equation, International Journal of Geometric Methods in Modern Physics, 19 (2022), 11, ID2250173
  9. Wang, K. L., Exact Traveling Wave Solutions for the Local Fractional Kadomtsov-Petviashvili-Benja­min-Bona-Mahony Model by Variational Perspective, Fractals, 30 (2022), 6, 2250101
  10. Wang, K. L., Fractal Traveling Wave Solutions for the Fractal-Fractional Ablowitz-Kaup-Newell-Segur Model, Fractals, 30 (2022), 9, 2250171
  11. Liu, J. G., et al., On the (N+1)-Dimensional Local Fractional Reduced Differential Transform Method and Its Applications, Mathematical Methods in Applied Sciences, 43 (2020), 5, pp. 8856-8866
  12. Yang, X. J., et al., On the Traveling-Wave Solutions for Local Fractional Korteweg-de Vries Equation, Chaos, 26 (2016), 3, 084312
  13. You, L. Y., et al., Finite-Time Stabilization for Uncertain Nonlinear Systems with Impulsive Disturbance via Aperiodic Intermittent Control, Applied Mathematics and Computation, 443 (2023), 127782
  14. Yang, X. J., et al., Exact Travelling Wave Solutions for the Local Fractional 2-D Burgers-Type Equations, Computers and Mathematics with Applications, 73 (2017), 2, pp. 203-210
  15. Marwan, M., et al., The Impact of Global Dynamics on the Fractals of a Quadrotor Unmanned Aerial Vehicle (Quav) Chaotic System, Fractals, 32 (2024), 2, 2450043
  16. Guo, L. M., et al., On Iterative Positive Solutions for a Class of Singular Infinite-Point P-Laplacian Frac­tional Differential Equation with Singular Source Terms, Journal of Applied Analysis and Computation, 13 (2023), 5, pp. 2827-2842

© 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