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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 489043, 11 pages
Research Article

The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation

1School of Computer Science and Educational Software, Guangzhou University, Guangzhou 510006, China
2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Received 25 October 2011; Accepted 14 November 2011

Academic Editor: Shaher M. Momani

Copyright © 2012 Yong Huang and Yadong Shang. 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.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Hasibun Naher, Farah Aini Abdullah, and Syed Tauseef Mohyud-Din, “Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation,” AIP Advances, vol. 3, no. 5, pp. 052104, 2013. View at Publisher · View at Google Scholar
  • Domingo A. Tarzia, “Explicit Solutions for the Solomon-Wilson-Alexiades’s Mushy Zone Model with Convective or Heat Flux Boundary Conditions,” Journal of Applied Mathematics, vol. 2015, pp. 1–9, 2015. View at Publisher · View at Google Scholar
  • Rehab M. El-Shiekh, “Auto-Bäcklund Transformation and Extended Tanh-Function Methods to Solve the Time-Dependent Coefficients Calogero-Degasperis Equation,” American Journal of Computational Mathematics, vol. 05, no. 02, pp. 215–223, 2015. View at Publisher · View at Google Scholar