Author(s)

Junliang Lu^1,2, Xiaochun Hong¹

¹School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China.
²Collaborative Innovation Center for Development and Opening Up of Southwestern Frontier and Mountainous Areas, Kunming, China.

We formulate efficient polynomial expansion methods and obtain the exact traveling wave solutions for the generalized Camassa-Holm Equation. By the methods, we obtain three types traveling wave solutions for the generalized Camassa-Holm Equation: hyperbolic function traveling wave solutions, trigonometric function traveling wave solutions, and rational function traveling wave solutions. At the same time, we have shown graphical behavior of the traveling wave solutions.

Camassa-Holm Equation, Partial Differential Equation, Polynomial Expansion Methods, Traveling Wave Solutions

Lu, J. and Hong, X. (2016) Exact Traveling Wave Solutions for Generalized Camassa-Holm Equation by Polynomial Expansion Methods. Applied Mathematics, 7, 1599-1611. doi: 10.4236/am.2016.714138.