Author(s)

Maha S. M. Shehata^1*, Emad H. M. Zahran²

¹Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
²Department of Mathematical and Physical Engineering, Faculty of Engineering, Benha University, Cairo, Egypt.

In this paper, we utilized the Jaulent-Miodek equation which is one of important models in particle physics and engineering. The exact traveling wave solutions for this equation “involving parameters” according to two different techniques are constructed. When these parameters are taken as special values, the solitary wave solutions are derived from it. A comparison between the obtained results using these two different methods with that obtained by previous authors is demonstrated.

The Extended Jacobian Elliptic Function Expansion Method, The Ricatti-Bernolli Sub, ODE Method, The Jaulent-Miodek (JM)-Equation, Traveling Wave Solutions

Shehata, M. and Zahran, E. (2019) The Solitary Wave Solutions of Important Model in Particle Physics and Engineering According to Two Different Techniques. American Journal of Computational Mathematics, 9, 317-327. doi: 10.4236/ajcm.2019.94023.