The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations

In this paper, the tanh-coth method and the sine-cosine method are used for a reliable treatment of the Pochhammer-Chree equations which include a variety of models. Travelling wave solutions of distinct structures, namely bell-shaped solitons, kink-shaped solitons, and periodic solutions are formally derived. The two methods demonstrate power, reliability and efficiency. (c) 2007 Elsevier Inc. All rights reserved.