Exact wave solutions of the nonlinear Rosenau equation using an analytical method

Exact wave solutions of the nonlinear Rosenau equation using an analytical method

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The purpose of the current study is to find exact travelling wave solutions of the Rosenau equation.By the use of the extended auxiliary equation method, various Headers exact solutions are obtained in terms of Jacobi elliptic functions and exponential functions.Moreover, several solitary and periodic wave solutions are given as special cases.When the parameters take some values, some graphical illustrations are shown in order to understand the behaviour of these new solutions.

Furthermore, we compare our solutions with some Nail Forms familiar solutions, which can be considered as special cases.