%0 Journal Article 
%A Ruiz Serván, Adrián
%A Muriel Patino, María Concepción
%T Variational lambda-symmetries and exact solutions to Euler-Lagrange equations lacking standard symmetries
%D 2022
%@ 0170-4214

%U http://hdl.handle.net/10498/26996
%X 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.
%K Euler-Lagrange equation
%K variational lambda-symmetry
%K variational problem
%K variational symmetries
%~ Universidad de Cádiz