In this work, we study the completely integrable sixth-order nonlinear Ramani equation.\nBy applying the Lie symmetry analysis technique, the Lie point symmetries and the optimal system\nof one-dimensional sub-algebras of the equation are derived. The optimal system is further used\nto derive the symmetry reductions and exact solutions. In conjunction with the Riccati Bernoulli\nsub-ODE (RBSO), we construct the travelling wave solutions of the equation by solving the ordinary\ndifferential equations (ODEs) obtained from the symmetry reduction. We show that the equation is\nnonlinearly self-adjoint and construct the conservation laws (CL) associated with the Lie symmetries\nby invoking the conservation theorem due to Ibragimov. Some figures are shown to show the physical\ninterpretations of the acquired results.
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