@misc{10498/31316,
year = {2023},
month = {10},
url = {http://hdl.handle.net/10498/31316},
abstract = {A wide family of position-dependent mass damped oscillators affected by an external potential is investigated. First, a Lagrangian formulation is introduced for the corresponding problem. The Lagrangian function is time-dependent, and the problem cannot be approached with classical procedures because it lacks variational symmetries. Therefore, the variational (Formula presented.) -symmetry method is applied to find exact solutions. Variational (Formula presented.) -symmetries are determined for a family of potential functions, which lead to a one-parameter family of exact solutions. The results are applied to particular examples corresponding to some interesting mass functions reported in the previous literature.},
publisher = {Wiley},
keywords = {exact solutions},
keywords = {Liénard equation},
keywords = {position-dependent mass},
keywords = {variational λ-symmetry},
title = {Exact solutions to a family of position-dependent mass damped oscillators from variational λ-symmetries},
doi = {10.1002/mma.9691},
author = {Ruiz Serván, Adrián and Muriel Patino, María Concepción},
}