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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 175982, 4 pages
Research Article

Q-Symmetry and Conditional Q-Symmetries for Boussinesq Equation

1Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2Mathematics Department, Faculty of Science, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt
3Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11566, Egypt

Received 30 August 2013; Revised 26 November 2013; Accepted 27 November 2013; Published 16 January 2014

Academic Editor: Chaudry M. Khalique

Copyright © 2014 Hassan A. Zedan and Seham Sh. Tantawy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Salehpour, H. Jafari, and C. M. Khalique, “A modified variational iteration method for solving generalized Boussinesq equation and Lie'nard equation,” International Journal of Physical Sciences, vol. 6, no. 23, pp. 5406–5411, 2011. View at Scopus
  2. M. Gandarias and M. Santosbruzón, “Travelling wave solutions for a generalized Boussinesq equation by using free software”.
  3. E. Y. Abu El Seoud and M. M. Kassem, “Potential method applied to Boussinesq equation,” Applied Mathematics and Computation, vol. 215, no. 11, pp. 3991–3997, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. S. Xia and J. Yuan, “Existence and scattering of small solutions to a Boussinesq type equation of sixth order,” Nonlinear Analysis: Theory, Methods & Applications, vol. 73, no. 4, pp. 1015–1027, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. H. Zedan, “New classes of solution for a system of partial differential equations by using G′/G-expansion method,” Nonlinear Science Letters A, vol. 1, pp. 219–238, 2010.
  6. M. S. Bruzón and M. L. Gandarias, “Symmetries for a family of Boussinesq equations with nonlinear dispersion,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 8, pp. 3250–3257, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. B.-D. Tian, Y.-H. Qiu, and N. Chen, “Exact solutions for a class of Boussinesq equation,” Applied Mathematical Sciences, vol. 3, no. 6, pp. 257–265, 2009. View at Zentralblatt MATH · View at MathSciNet
  8. W. I. Fushchych, “Conditional symmetries of the equations of mathematical physics,” Scientic Works, vol. 5, pp. 9–16, 2003.
  9. R. Näslund, “On conditional Q-symmetries of some quasilinear hyperbolic wave equations,” Research Report 11, Luleå University of Technology, Department of Mathematics, 2003.
  10. N. Eular, A. K. Ohler, and W. I. Fushchy, “Q-Symmetry generators and exact solutions for nonlinear heat conduction,” Scientific Work, vol. 5, pp. 151–164, 2003.