%0 Journal Article 
%A Camacho Moreno, José Carlos
%A Bruzón Gallego, María de los Santos
%A Ramírez, J.
%A Gandarias Núñez, María Luz
%T Exact travelling wave solutions of a beam equation
%D 2011
%@ 1402-9251
%U http://hdl.handle.net/10498/16028
%X 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.
%K Beam equation
%K partial differential equation
%K Travelling wave
%K Symmetry reductions
%K symmetries
%~ Universidad de Cádiz