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In this paper, we study the Zufiria’s higher-order Boussinesq type equation with generalized coefficients from the point of view of its exact solutions. The improved tanhcoth method is used with the aim to obtain periodic and soliton solutions to the mentioned equation. The solutions obtained here are in a more general form from those obtained by authors of other works. We will see that the solutions for some particular cases can be derived from the obtained here.

ON EXACT SOLUTIONS TO THE ZUFIRIA'S HIGHER-ORDER BOUSSINESQ TYPE EQUATION WITH GENERALIZED COEFFICIENTS