G'/G Expansion and Exact Solutions of(1+1)-Dimensional Modified Broer-Kaup-Kupershmidt Equation
The G'/G expansion method is used to solve the(1+1)-dimensional Modified Broer-Kaup-Kuperschmidt equation.Firstly,a traveling wave transformation is performed on the equation to transform the nonlinear differential equation into an ordinary differential equation.Let's assum a formal solution exists of u(ξ)=n∑i=0ai(G'/G)i,and then,a positive integer is determined by balancing the power of the linear highest order derivative term and the highest order nonlinear term.The proposed solution of n is substituted into the equation.Then,let us make the coefficient of the same power term zero,resulting in an algebraic equation system and it is solved.Finally,we obtain exact solutions in the assumed form of the nonlinear differential equation.