Open AccessExtended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations
Author(s) -
Khaled A. Gepreel
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.08.007
Subject(s) - mathematics , partial differential equation , nonlinear system , first order partial differential equation , mathematical analysis , differential equation , elliptic function , separable partial differential equation , exact solutions in general relativity , differential algebraic equation , ordinary differential equation , physics , quantum mechanics
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