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Exact travelling wave solutions of a beam equation
In this paper we make a full analysis of the symmetry reductions of a beam equation by using
the classical Lie method of infinitesimals and the nonclassical method. We consider travelling wave
reductions depending on the form of an arbitrary function. We have found several new classes
of solutions that have not been considered before: solutions expressed in terms of Jacobi elliptic
functions, Wadati solitons and compactons. Several classes of coherent structures are displayed by
some of the solutions: kinks, solitons, two humps compactons.17 página