International Scientific Journal

Thermal Science - Online First

Authors of this Paper

External Links

online first only

Exact solitary wave solution for the Drinfeld-Sokolov system

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 3D and 2D figure.
PAPER REVISED: 2023-05-25
PAPER ACCEPTED: 2023-06-25
  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, Article ID 2250173
  2. Yang, X.J., et al., On the traveling-wave solutions for local fractional Korteweg-de Vries equation, Chaos, 26(2016), 2, Article ID 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 nonlinear ion-acoustic waves in a plasma, Computers and Mathematics with Applications, 67 (2014), 3, pp. 172-180
  5. Wang, K. L., Solitary wave dynamics of the local fractional Bogoyavlensky -Konopelchenko model, Fractals, 31(2023), 5, Article ID 2350054
  6. Younas, U., et .al., Dynamics of M-truncated optical solitons in fber optics governed by fractional dynamical system, Optical and Quantum Electronics, 56(2024),25, pp.1-15
  7. Wazwaz, A. M., Exact and explicit travelling wave solutions for the nonlinear Drinfeld- Sokolov system, Communication in Nonlinear 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