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Journal of Applied Mathematics
Volume 2014, Article ID 848069, 13 pages
Research Article

New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method

Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China

Received 21 March 2014; Revised 8 June 2014; Accepted 9 June 2014; Published 29 June 2014

Academic Editor: Michael Meylan

Copyright © 2014 Yun-Mei Zhao. 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.


In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the simplest equation method and its variants. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometric, and rational functions. These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time.