Extended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations

Journal of the Egyptian Mathematical Society

Khaled A. Gepreel¹ 

[1] Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig, Egypt;

关键词: Nonlinear partial differential equations;    Extend trial equation method;    Traveling wave solutions;    Soliton solutions;    Jacobi elliptic functions;   

DOI  :  10.1016/j.joems.2015.08.007

来源: DOAJ

【 摘 要 】

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, exact 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 number 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.

【 授权许可】

Unknown