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The (G’/G)-expansion method is proposed for constructing moregeneral exact solutions of the nonlinear (2+1)-dimensional equation generated bythe Jaulent-Miodek Hierarchy. As a result, when the parameters are taken at specialvalues, some new traveling wave solutions are obtained which include solitary wavesolutions which are based from the hyperbolic functions, trigonometric functions,and rational functions. We find in this work that the (G’/G)-expansion method givesome new results which are easier and faster to compute by the help of a symboliccomputation system. The results obtained were compared with tanh method

mathematical problems in engineering

Exact Solutions of Equation Generated by the Jaulent-Miodek Hierarchy by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mi>G</mml:mi><mml:mo>’</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:mi>G</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>-Expansion Method

Exact Solutions of Equation Generated by the Jaulent-Miodek Hierarchy by(G’/G)-Expansion Method