RT journal article
T1 Exact travelling wave solutions of a beam equation
A1 Camacho Moreno, José Carlos
A1 Bruzón Gallego, María de los Santos
A1 Ramírez, J.
A1 Gandarias Núñez, María Luz
A2 Matemáticas
K1 Beam equation
K1 partial differential equation
K1 Travelling wave
K1 Symmetry reductions
K1 symmetries
AB In this paper we make a full analysis of the symmetry reductions of a beam equation by usingthe classical Lie method of infinitesimals and the nonclassical method. We consider travelling wavereductions depending on the form of an arbitrary function. We have found several new classesof solutions that have not been considered before: solutions expressed in terms of Jacobi ellipticfunctions, Wadati solitons and compactons. Several classes of coherent structures are displayed bysome of the solutions: kinks, solitons, two humps compactons.
PB Atlantis Press
SN 1402-9251
YR 2011
FD 2011-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16028
UL http://hdl.handle.net/10498/16028
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026