RT journal article
T1 Variational lambda-symmetries and exact solutions to Euler-Lagrange equations lacking standard symmetries
A1 Ruiz Serván, Adrián
A1 Muriel Patino, María Concepción
A2 Matemáticas
K1 Euler-Lagrange equation
K1 variational lambda-symmetry
K1 variational problem
K1 variational symmetries
AB Variational lambda-symmetries are used to find exact solutions to second- and fourth-order Euler-Lagrange equations associated to variational problems for which standard procedures fail. A one-parameter family of exact solutions in terms of Bessel functions is obtained for a first-order variational problem whose Euler-Lagrange equation does not admit Lie symmetries. A family of second- order equations, involving arbitrary functions and parameters, is first written in variational form. The variational lambda-symmetry method successes in finding one-parameter families of exact solutions, despite the lack of Lie point and variational symmetries. A three-parameter family of exact solutions for a fourth-order equation with absence of Lie point symmetries is also deduced.
PB WILEY
SN 0170-4214
YR 2022
FD 2022
LK http://hdl.handle.net/10498/26996
UL http://hdl.handle.net/10498/26996
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026