First Integral Method for Systems of (1+1)-Dimensional Dispersive Long Wave

Abstract

The First Integral method (FIM) is applied to solve a dispersive long wave system. In this method the division theorem, as a statement in commutative Algebra has an important role. To show the ability and the efficiency of this approach an example is provided. Application of FIM to the illustrative example leads to six exact solutions, which it is shown that these six solutions are independent to each other. So there are six different exact solutions. doi:10.14456/WJST.2015.45

Keywords

• First Integral method
• exact solution
• dispersive long wave (1 1)-dimensional systems
• partial differential equation
• non-linear algebraic equations