Exact solutions of a generalized Boussinesq equation
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- Bruzón, M.S. Theor Math Phys (2009) 160: 894. doi:10.1007/s11232-009-0079-2
We analyze a generalized Boussinesq equation using the theory of symmetry reductions of partial differential equations. The Lie symmetry group analysis of this equation shows that the equation has only a two-parameter point symmetry group corresponding to traveling-wave solutions. To obtain exact solutions, we use two procedures: a direct method and the G′/G-expansion method. We express the traveling-wave solutions in terms of hyperbolic, trigonometric, and rational functions.