THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

TRAVELLING WAVE SOLUTIONS FOR A SURFACE WAVE EQUATION IN FLUID MECHANICS

ABSTRACT
This paper considers a non-linear wave equation arising in fluid mechanics. The exact traveling wave solutions of this equation are given by using G'/G-expansion method. This process can be reduced to solve a system of determining equations, which is large and difficult. To reduce this process, we used Wu elimination method. Example shows that this method is effective.
KEYWORDS
PAPER SUBMITTED: 2015-11-02
PAPER REVISED: 2016-02-01
PAPER ACCEPTED: 2016-02-01
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603893T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [893 - 898]
REFERENCES
  1. Ma, H. C., et al., Lie Symmetry Group of (2+1)-Dimensional Jaulent-Miodek Equation, Thermal Science, 18 (2014), 5, pp. 1547-1552
  2. Lu, J. F., Modified Variational Iteration Method for Variant Bousinesq Equation, Thermal Science, 19 (2015), 4, pp. 1195-1199
  3. Cui, L. X., et al., New Exact Solutions of Fractional Hirota-Satsuma Coupled Korteweg-de Vries Equations, Thermal Science, 19 (2015), 4, pp. 1173-1176
  4. Pornbov, A. V., Exact Travelling Wave Solutions of Nonlinear Evolution Equation of Surface Waves in a Convecting Fluid, Journal of Physics A-Mathematical and General, 26 (1993), 17, pp. L797-L800
  5. Parkes, E. J., Comment on ""Application of (G'/G)-Expansion Method to Travelling-Wave Solutions of Three Nonlinear Evolution Equation"" [Comput Fluids 2010;39:1957-63], Computers & Fluids, 42 (2011), 1, pp. 108-109
  6. Zhang, Z., et al., The Modified Multiple (G'/G)-Expansion Method and its Application to Sharma-Tasso-Olver Equation, Pramana-Journal of Physics, 83 (2014), 1, pp. 95-105
  7. Sayevand, K., et al., Finding the Generalized Solitary Wave Solutions within the (G'/G)- Expansion Method, Cmes-Computer Modeling in Engineering & Sciences, 105 (2015), 5, pp. 361-373
  8. Wu, W. T., Mathematics Mechanization, Science Press, Beijing, 2000
  9. Hu, J. L., et al., Exact Traveling Wave Solutions for a Nonlinear Wave Equation in Fluid Mechanics (in Chinese), Journal of Jishou University (Natural Science Edition), 21 (2000), 2, pp. 32-35
  10. Sirendaoreji, N., Exact Solutions for a Surface Wave Equation, Applied Mathematics. Series B, A Journal of Chinese Universities, 16 (2001), 1, pp.19-24

© 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