Extended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 3, 2016, Pages 381-391 PDF (532.97 K) | ||
| DOI: 10.1016/j.joems.2015.08.007 | ||
| Author | ||
| Khaled A. Gepreel1, 2 | ||
| 1Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig, Egypt | ||
| 2Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia | ||
| Abstract | ||
| In this paper, we improve the extended trial equation method to construct the exact solutions for nonlinear coupled system of partial differential equations in mathematical physics. We use the extended trial equation method to find some different types of exact solutions such as the Jacobi elliptic function solutions, soliton solutions, trigonometric function solutions and rational, ex- act solutions to the nonlinear coupled Schrodinger Boussinesq equations when the balance number is a positive integer. The performance of this method is reliable, effective and powerful for solving more complicated nonlinear partial differential equations in mathematical physics. The balance num- ber of this method is not constant as we have in other methods. This method allows us to construct many new types of exact solutions. By using the Maple software package we show that all obtained solutions satisfy the original partial differential equations | ||
| Keywords | ||
| Nonlinear partial differen- tial equations; Extend trial equation method; Traveling wave solutions; Soliton solutions; Jacobi elliptic functions | ||
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