THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Bei Yang

,

Guang-Sheng Chen

EXACT SOLITARY WAVE SOLUTION FOR THE DRINFELD-SOKOLOV SYSTEM

ABSTRACT
In this work, we mainly investigate the Drinfeld-Sokolov system by employing the functional variable method. Some new solitary wave and periodic solutions are successfully derived. The dynamic characteristics of these obtained solitary wave solutions are elaborated by plotting some 3-D and 2-D figure.
KEYWORDS
Drinfeld-Sokolov system, functional variable method, solitary wave solution
PAPER SUBMITTED: 2023-03-27
PAPER REVISED: 2023-05-25
PAPER ACCEPTED: 2023-06-25
PUBLISHED ONLINE: 2024-05-25
DOI REFERENCE: https://doi.org/10.2298/TSCI230327127Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3355 - 3359]
REFERENCES
  1. 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, 2250173
  2. Yang, X. J., et al., On the traveling-wave solutions for local fractional Korteweg-de Vries Equation, Cha­os, 26 (2016), 2, 084312
  3. 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
  4. Seadawy, A. R., Stability analysis for Zakharov-Kuznetsov Equation of Weakly Non-Linear Ion-Acoustic Waves in a Plasma, Computers and Mathematics with Applications, 67 (2014), 3, pp. 172-180
  5. Wang, K. L., New Mathematical Approaches to Nonlinear 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
  6. Zhang, X. H., et al., Output Feedback Finite-Time Stabilization of a Class of Large-Scale High-Order Nonlinear Stochastic Feedforward Systems, Discrete and Continuous Dynamical Systems-Series S, 16 (2023), 7, pp. 1892-1908
  7. Wazwaz, A. M., Exact and Explicit Travelling Wave Solutions for the Non-Linear Drinfeld- Sokolov System, Communication in Non-Linear Science and Numerical Simulation, 11 (2006), 3, pp. 311-325
  8. Garrido, T. M., et al., Lie Point Symmetries and Travelling Wave Solutions for the Generalized Drin­feld-Sokolov System, Journal of Computation and Theoretical Transport, 45 (2016), 4, pp. 290-298
  9. Yao. L., et al., Bifurcations of Travelling Wave Solutions for Generalized Drinfeld-Sokolov Equation, Applied Mathematics and Mechanics-English Edition, 27 (2006), 11, pp. 1649-1555
PDF VERSION [DOWNLOAD]
Exact solitary wave solution for the Drinfeld-Sokolov system

© 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