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The extended tanh method with a computerized symbolic computation, is used for constructing the travelling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation, and seeking soliton solutions of two-component generalizations of the Kaup- Kupershmidt and Sawada-Kotera equations.