TITLE:
Exact Traveling Wave Solutions for Generalized Camassa-Holm Equation by Polynomial Expansion Methods
AUTHORS:
Junliang Lu, Xiaochun Hong
KEYWORDS:
Camassa-Holm Equation, Partial Differential Equation, Polynomial Expansion Methods, Traveling Wave Solutions
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.14,
August
26,
2016
ABSTRACT: 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.