Parametric solutions for Camassa-Holm equation of fractional order
Keywords:
Camassa-Holm equation in 2 1 dimensions, Jumarie’s fractional derivative, fractional complex transform, extended tanth method, parametric solutionsAbstract
In this article, we consider a Camassa-Holm equation in dimensions in terms of Jumarie’s fractional derivatives. By applying fractional complex wave transform to reduce the number of independent variables, a system of nonlinear ordinary differential equations is obtained. The extended tanh method is next used to construct some types of parametric solutions for the three fields. Kink and antikink solutions are found and plotted for some values of the parameters.
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