On numerical Jacobi elliptic function solutions of the (1 + 1)-dimensional dispersive long wave equation by the decomposition method

In this paper, we consider to obtain approximate Jacobi elliptic function solutions of the (1 + 1)-dimensional long wave equation by using the Adomian decomposition method. As a results, we obtain the approximate solution and exact Jacobi elliptic function solutions of the (1 + 1)-dimensional long wave equation with initial conditions. The numerical results are compared with the known exact doubly periodic solutions. Most of the symbolic and numerical computations have been performed by using the Computer Algebra System-Mathematica.